lecture 1 - phase equilibrium

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  • 7/24/2019 Lecture 1 - Phase Equilibrium

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    8.1 - Single Component System

    TOPIC 8 : PHASE EQUIBLIBRIA

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8.1 - SI&'LE8.1 - SI&'LE

    CO(PO&E&T S)STE(CO(PO&E&T S)STE( O*+e,ti$e :At te en o/ tis lesson st0ents so0l *e #*le to:

    #2 3e/ine p#se #n ,omponent.

    *2 3e/ine t%iple point #n ,%iti,#l point.

    ,2 S4et, #n e5pl#in te p#se i#g%#m o/ HO

    #n CO.

    E5pl#in te #nom#lo0s *e#$io0% o/ HO.

    2 3es,%i*e te ,#nges in p#se !it %espe,t toi. tempe%#t0%e #t ,onst#nt p%ess0%e2

    ii. p%ess0%e #t ,onst#nt tempe%#t0%e2.

    P#se 6 Component

    T%iple Point 6 C%iti,#l Point

    P#se 3i#g%#m HO

    P#se 3i#g%#m CO

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    8.1 - Single Component System

    TOPIC 8 : PHASE EQUIBLIBRIA

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8.1 - SI&'LE8.1 - SI&'LE

    CO(PO&E&T S)STE(CO(PO&E&T S)STE( 3e/initions

    PHASE :The phases of a system are parts of it which are

    separated by a distinct boundary, such as solid, liquid

    and gas.Homogenous part of a system which is chemically and

    physically uniform.

    E5#mple

    Rel#tionsip

    T%iple Point 6 C%iti,#l Point

    P#se 3i#g%#m HO

    P#se 3i#g%#m CO

    P#se 6 Component

    3e/inition

    E5e%,ise

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    8.1 - Single Component System

    TOPIC 8 : PHASE EQUIBLIBRIA

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    A two-phase system is one containing either

    - a gas and a solid

    - a gas and a liquid

    - a solid and a liquid

    - a solid and a solid

    - two immiscible liquids

    A three-phase system is one containing either

    - a solid, a liquid, and a gas

    - two immiscible liquids and a gas

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    8.1 - Single Component System

    TOPIC 8 : PHASE EQUIBLIBRIA

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    3e/initions

    CO(PO&E&T :CO(PO&E&T :

    A component is a chemically independent constituent of a system. The

    number of components in a system is the minimum number of independentspecies necessary to define the composition of all the phases present in the

    system.

    The number of components in a phase system is the minimum number of

    chemical entities needed to define all the phase of the system

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    8.1 - Single Component System

    TOPIC 8 : PHASE EQUIBLIBRIA

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8.1 - SI&'LE8.1 - SI&'LE

    CO(PO&E&T S)STE(CO(PO&E&T S)STE( E5#mple :

    E5#mple

    Rel#tionsip

    T%iple Point 6 C%iti,#l Point

    P#se 3i#g%#m HO

    P#se 3i#g%#m CO

    P#se 6 Component

    3e/inition

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    8.1 - Single Component System

    TOPIC 8 : PHASE EQUIBLIBRIA

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8.1 - SI&'LE8.1 - SI&'LE

    CO(PO&E&T S)STE(CO(PO&E&T S)STE( Rel#tionsip *et!een System7 P#se 6 Component

    System P C 3es,%iption

    Mixtureof gases

    !ependtypes of

    gases

    "ases are well mixed.#e cannot see

    the boundary betweenthe gases.

    Two liquids!o not mix$oil-water%

    & & #e can see the boundarybetween the two liquid,

    Two liquidswell mixed

    $alcohol-water%

    & #e cannot seethe boundary of

    the solution.

    E5#mple

    Rel#tionsip

    T%iple Point 6 C%iti,#l Point

    P#se 3i#g%#m HO

    P#se 3i#g%#m CO

    P#se 6 Component

    3e/inition

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    8.1 - Single Component System

    TOPIC 8 : PHASE EQUIBLIBRIA

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8.1 - SI&'LE8.1 - SI&'LE

    CO(PO&E&T S)STE(CO(PO&E&T S)STE( 3e/initions

    PHASE 3IA'RA( :A graphical plot of pressure 's temperature that shows

    the conditions at which a substance exists as a solid,

    liquid or gas in a one component system.

    (hows the conditions under which equilibrium exists

    between the different states of matter.

    A typical phase diagram has three regions ) solid, liquidand gas. *ach of these region is separated by their

    boundary lines $i% solid+gas $ii% solid liquid and $iii% liquid

    gas.

    T%iple Point 6 C%iti,#l Point

    P#se 3i#g%#m HO

    P#se 3i#g%#m CO

    P#se 6 Component

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    8.1 - Single Component System

    TOPIC 8 : PHASE EQUIBLIBRIA

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8.1 - SI&'LE8.1 - SI&'LE

    CO(PO&E&T S)STE(CO(PO&E&T S)STE( 3e/initions

    CRITICAL POI&T :At this point and abo'e, it is not possible to liquefy a

    gas howe'er great the pressure is. ndeed the term

    'apour should only be used below the critical point, asit implies that it is possible to form a liquid.

    TRIPLE POI&T :TRIPLE POI&T :

    Triple point is an unique point at which the three linesrepresenting the solid+liquid, liquid+'apour and

    solid+'apour equilibriums. t represents the conditions at

    which all the three phases can co-exist in a stable

    manner and each is at equilibrium with the other two.

    T%iple Point 6 C%iti,#l Point

    P#se 3i#g%#m HO

    P#se 3i#g%#m CO

    P#se 6 Component

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    8.1 - Single Component System

    TOPIC 8 : PHASE EQUIBLIBRIA

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8.1 - SI&'LE8.1 - SI&'LE

    CO(PO&E&T S)STE(CO(PO&E&T S)STE( 3e/initions

    CRITICAL TE(PERATURE :

    The highest temperature at which a gas can

    be liquefied.

    CRITICAL PRESSURE :

    The pressure required to liquefy a gas at the

    critical temperature.

    T%iple Point 6 C%iti,#l Point

    P#se 3i#g%#m HO

    P#se 3i#g%#m CO

    P#se 6 Component

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    8.1 - Single Component System

    TOPIC 8 : PHASE EQUIBLIBRIA

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8.1 - SI&'LE8.1 - SI&'LE

    CO(PO&E&T S)STE(CO(PO&E&T S)STE( P#se 3i#g%#m o/ HO

    C%iti,#l Point

    T%iple Point

    1oC

    1 #tm

    oC Tempe%#t0%e oC2

    P%e

    ss0%e1#tm2

    T%iple Point 6 C%iti,#l Point

    P#se 3i#g%#m HO

    P#se 3i#g%#m CO

    C0%$e 3es,%iption

    E5pl#n#tion

    Anom#lo0s Be#$io%

    P#se 6 Component

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    8.1 - Single Component System

    TOPIC 8 : PHASE EQUIBLIBRIA

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8.1 - SI&'LE8.1 - SI&'LE

    CO(PO&E&T S)STE(CO(PO&E&T S)STE(

    C0%$es in P#se 3i#g%#m o/ HO

    C%iti,#l Point

    T%iple Point

    1oC

    1 #tm

    oC

    Tempe%#t0%e oC2

    P%ess0%e1#tm2

    T-C: Rep%esents te $#%i#tion o/T-C: Rep%esents te $#%i#tion o/ *oiling*oilingtempe%#t0%e !it pess0%etempe%#t0%e !it pess0%e

    T

    A

    B C

    T-B: Rep%esents te $#%i#tion o/T-B: Rep%esents te $#%i#tion o/ meltingmeltingtempe%#t0%e !it pess0%etempe%#t0%e !it pess0%e

    T-A: Rep%esents te $#%i#tion o/T-A: Rep%esents te $#%i#tion o/ s0*lim#tions0*lim#tiontempe%#t0%e !ittempe%#t0%e !it

    pess0%epess0%e

    T%iple Point 6 C%iti,#l Point

    P#se 3i#g%#m HO

    P#se 3i#g%#m CO

    C0%$e 3es,%iption

    E5pl#n#tion

    Anom#lo0s Be#$io%

    P#se 6 Component

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    8.1 - Single Component System

    TOPIC 8 : PHASE EQUIBLIBRIA

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8.1 - SI&'LE8.1 - SI&'LE

    CO(PO&E&T S)STE(CO(PO&E&T S)STE( E5pl#n#tionAt lo! tempe%#t0%es #n #tmospe%i, p%ess0%e7 teAt lo! tempe%#t0%es #n #tmospe%i, p%ess0%e7 test#*le p#se is test#*le p#se is te soli i,e2.soli i,e2.

    At 1 #tm7 te tempe%#t0%e #t !i, i,e #n !#te% #%e #tAt 1 #tm7 te tempe%#t0%e #t !i, i,e #n !#te% #%e #t

    e90ili*%i0m7 is ,#lle tee90ili*%i0m7 is ,#lle te melting pointmelting point C 7 ;".1< =2.C 7 ;".1< =2.

    Te line sep#%#tes te soli #n li90i p#ses. As tisTe line sep#%#tes te soli #n li90i p#ses. As tisline is not $e%ti,#l7 te t%#nsition /%om soli to li90iline is not $e%ti,#l7 te t%#nsition /%om soli to li90i

    t#4es pl#,e #t i//e%ent tempe%#t0%es 0ne% i//e%entt#4es pl#,e #t i//e%ent tempe%#t0%es 0ne% i//e%ent

    p%ess0%es.p%ess0%es.

    At tempe%#t0%es *et!een At tempe%#t0%es *et!een C #n 1C #n 1C 0ne% 1C 0ne% 1

    #tmospe%i, p%ess0%e7 te st#*le p#se is li90i !#te%.#tmospe%i, p%ess0%e7 te st#*le p#se is li90i !#te%.

    At 1At 1C7 te line %ep%esenting te e90ili*%i0m *et!eenC7 te line %ep%esenting te e90ili*%i0m *et!een

    li90i #n g#s is %e#,e #n te tempe%#t0%e #t !i,li90i #n g#s is %e#,e #n te tempe%#t0%e #t !i,

    *oiling t#4es pl#,e 0ne% #tmospe%i, p%ess0%e is te*oiling t#4es pl#,e 0ne% #tmospe%i, p%ess0%e is te

    *oiling point.*oiling point.Te *oiling point $#%ies #s te p%ess0%eTe *oiling point $#%ies #s te p%ess0%e

    'aries.'aries.

    T%iple Point 6 C%iti,#l Point

    P#se 3i#g%#m HO

    P#se 3i#g%#m CO

    C0%$e 3es,%iption

    E5pl#n#tion

    Anom#lo0s Be#$io%

    P#se 6 Component

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    8.1 - Single Component System

    TOPIC 8 : PHASE EQUIBLIBRIA

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8.1 - SI&'LE8.1 - SI&'LE

    CO(PO&E&T S)STE(CO(PO&E&T S)STE( Anom#lo0s Be#$io% o/ HOThe phase diagram for water is not typical, the meltingThe phase diagram for water is not typical, the melting

    temperature line , T-/ ,temperature line , T-/ , slopes to te le/tslopes to te le/t i.e. the meltingi.e. the melting

    temperature decreases with pressure.temperature decreases with pressure.

    This is connected with the fact thatThis is connected with the fact that ice is less dense thanice is less dense thanwater, while most solids are denser than their liquids.water, while most solids are denser than their liquids.

    TheThe melting ,0%$emelting ,0%$eoror /0sion ,0%$e/0sion ,0%$eof ice + water is 'eryof ice + water is 'ery

    special. t has a negati'e slope due to the fact that)special. t has a negati'e slope due to the fact that)

    when ice melts, the molar volume decreases. Icewhen ice melts, the molar volume decreases. Ice

    actually melt at lower temperature, higher pressure.actually melt at lower temperature, higher pressure.

    T%iple Point 6 C%iti,#l Point

    P#se 3i#g%#m HO

    P#se 3i#g%#m CO

    C0%$e 3es,%iption

    E5pl#n#tion

    Anom#lo0s Be#$io%

    P#se 6 Component

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    8.1 - Single Component System

    TOPIC 8 : PHASE EQUIBLIBRIA

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8.1 - SI&'LE8.1 - SI&'LE

    CO(PO&E&T S)STE(CO(PO&E&T S)STE( P#se 3i#g%#m o/ CO

    T%iple Point

    C%iti,#l Point

    Tempe%#t0%e oC2

    P%e

    ss0%e1#tm2

    C0%$e 3es,%iption

    E5pl#n#tion

    T%iple Point 6 C%iti,#l Point

    P#se 3i#g%#m HO

    P#se 3i#g%#m CO

    P#se 6 Component

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    8.1 - Single Component System

    TOPIC 8 : PHASE EQUIBLIBRIA

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    T%iple Point

    C%iti,#l oint

    8.1 - SI&'LE8.1 - SI&'LE

    CO(PO&E&T S)STE(CO(PO&E&T S)STE(

    C0%$es in P#se 3i#g%#m o/ CO

    P%e

    ss0%e1#tm2

    T

    A

    B C

    Tempe%#t0%e oC2

    T-C: Rep%esents te $#%i#tion o/T-C: Rep%esents te $#%i#tion o/ *oiling*oilingtempe%#t0%e !it p%ess0%etempe%#t0%e !it p%ess0%e

    T-B: Rep%esents te $#%i#tion o/T-B: Rep%esents te $#%i#tion o/ meltingmeltingtempe%#t0%e !it pess0%etempe%#t0%e !it pess0%e

    T-A: Rep%esents te $#%i#tion o/T-A: Rep%esents te $#%i#tion o/ s0*lim#tions0*lim#tiontempe%#t0%e !ittempe%#t0%e !it

    p%ess0%ep%ess0%e

    C0%$e 3es,%iption

    E5pl#n#tion

    T%iple Point 6 C%iti,#l Point

    P#se 3i#g%#m HO

    P#se 3i#g%#m CO

    P#se 6 Component

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    8.1 - Single Component System

    TOPIC 8 : PHASE EQUIBLIBRIA

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8.1 - SI&'LE8.1 - SI&'LE

    CO(PO&E&T S)STE(CO(PO&E&T S)STE( E5pl#in#tionThe phase diagram of carbon dioxide is moreThe phase diagram of carbon dioxide is more typi,#ltypi,#l,,showing ashowing a rightward slopingrightward slopingmelting temperature line.melting temperature line.

    T%iple pointT%iple pointfor carbon dioxide is -0123 $ &4.5 6 % and 0.&for carbon dioxide is -0123 $ &4.5 6 % and 0.&

    atm $ 04 78a %. The triple point is abo'e atmosphericatm $ 04 78a %. The triple point is abo'e atmospheric

    pressure, so that at atmospheric pressure carbon dioxidepressure, so that at atmospheric pressure carbon dioxidesublimes, so dry ice, which is solid carbon dioxide, changessublimes, so dry ice, which is solid carbon dioxide, changes

    directly from solid to gas.directly from solid to gas.

    At this pressure, the liquid phase is not stable, the solidAt this pressure, the liquid phase is not stable, the solid

    simply sublimes. Thus solid carbon dioxide is calledsimply sublimes. Thus solid carbon dioxide is called %y i,e%y i,e,,

    because it does not go through a liquid state in its phasebecause it does not go through a liquid state in its phasetransition at room pressure.transition at room pressure.

    The critical temperature for carbon dioxide is 9.:3, andThe critical temperature for carbon dioxide is 9.:3, and

    the critical pressure is 19 atm. Abo'e the critical temperature,the critical pressure is 19 atm. Abo'e the critical temperature,

    the fluid is called super-critical fluid.the fluid is called super-critical fluid.

    C0%$e 3es,%iption

    E5pl#n#tion

    T%iple Point 6 C%iti,#l Point

    P#se 3i#g%#m HO

    P#se 3i#g%#m CO

    P#se 6 Component

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    8.1 - Single Component System

    TOPIC 8 : PHASE EQUIBLIBRIA

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    . !etermine the stable phase of 3arbon !ioxide ata% ;.10 atm and -4; o3

    b% 0.0; atm and -1; o3

    &. #hat is the physical state of water under each of the following

    conditionsO8. - T>O

    CO(PO&E&T S)STE(CO(PO&E&T S)STE(

    O*+e,ti$e :

    /2 3e/ine #@eot%opi, mi5t0%e.

    3ete%mine te ,omposition o/ #@eot%opi, mi5t0%e

    /%om # *oiling point-,omposition i#g%#m.

    g2 E5pl#in te p%in,iples in$ol$e in simple #n/%#,tion#l istill#tions o/ # *in#%y mi5t0%e.

    2 3ete%mine te istill#te #n %esi0e o/ #

    istill#tion /%om te *oiling point-,omposition i#g%#m.

    (is,i*ility

    Ie#l Sol0tion

    R#o0lt?s L#!

    &on-ie#l Sol0tion

    A@eot%ope

    3istil#tion

    1

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    8.1 - Single Component System

    TOPIC 8 : PHASE EQUIBLIBRIA

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8. - T>O8. - T>O

    CO(PO&E&T S)STE(CO(PO&E&T S)STE( (is,i*ility

    (ISCIBLE:

    Two liquids are considered >miscible> or

    mixable if sha7ing them together results in a

    single liquid phase , with no meniscus 'isible

    between layers of liquids.

    Miscible refers to the property of 'ariousliquids that allows them to be mixed together.

    *xample ) Methanol ? #aterMethanol ? #ater

    (is,i*ility

    (is,i*le

    P#%ti#lly (is,i*le

    Immis,i*le

    R#o0lt?s L#!

    &on-ie#l Sol0tion

    A@eot%ope

    3istil#tion

    Ie#l Sol0tion

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    8.1 - Single Component System

    TOPIC 8 : PHASE EQUIBLIBRIA

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8. - T>O8. - T>O

    CO(PO&E&T S)STE(CO(PO&E&T S)STE( (is,i*ility

    PARTIALL)PARTIALL) (ISCIBLE::

    #hen one liquid partially dissol'es in the

    other, the result is two solutions appearingas two layers. These two liquids are

    considered to be partially miscible

    *xample ) Hexanol ? #aterHexanol ? #ater

    (is,i*ility

    (is,i*le

    P#%ti#lly (is,i*le

    Immis,i*le

    Ie#l Sol0tion

    R#o0lt?s L#!

    &on-ie#l Sol0tion

    A@eot%ope

    3istil#tion

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    8.1 - Single Component System

    TOPIC 8 : PHASE EQUIBLIBRIA

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8. - T>O8. - T>O

    CO(PO&E&T S)STE(CO(PO&E&T S)STE( (is,i*ility

    I(I((ISCIBLE::

    Two liquids are considered >immiscible> or

    unmixable if sha7ing equal 'olumes of theliquids together results in a meniscus 'isible

    between two layers of liquid, the 'olumes of

    the liquid layers are the same as the 'olumes

    of liquids orginally added to the mixture.

    mmiscible refers to the property of 'arious

    liquids that if they cannot be mixed together.

    *xample ) @il ? #ater@il ? #ater

    (is,i*ility

    (is,i*le

    P#%ti#lly (is,i*le

    Immis,i*le

    R#o0lt?s L#!

    &on-ie#l Sol0tion

    A@eot%ope

    3istil#tion

    Ie#l Sol0tion

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    8.1 - Single Component System

    TOPIC 8 : PHASE EQUIBLIBRIA

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8. - T>O8. - T>O

    CO(PO&E&T S)STE(CO(PO&E&T S)STE( P%ope%ties O/ #n ie#l Sol0tion

    A solution containing a mixture of liquid A and liquid /

    is ideal solution if ,

    the three different intermolecular forces A-A, /-/and A-/, are of the same type and comparable in

    strengthand expect the molecules to intermingle

    randomly into a solution. there is no energy changein the formation of the

    solution , HsolutionB ;.

    the 'olume of the solution is the sum of the

    'olumes of the two liquids A and /, CsolutionB ;

    @beys the Daoults law.

    8actualB 8 measured$calculated%

    The measured 'apour pressureof the solution isthe same as that predicted by the Daoults Eaw.

    (is,i*ility

    Ie#l Sol0tion

    R#o0lt?s L#!

    &on-ie#l Sol0tion

    A@eot%ope

    3istil#tion

    3i#g%#m

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    8.1 - Single Component System

    TOPIC 8 : PHASE EQUIBLIBRIA

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8. - T>O8. - T>O

    CO(PO&E&T S)STE(CO(PO&E&T S)STE(

    #po0% p%ess0%e 6 *oiling point i#g%#m

    o/ #n ie#l Sol0tion(is,i*ility

    Ie#l Sol0tion

    R#o0lt?s L#!

    &on-ie#l Sol0tion

    A@eot%ope

    3istil#tion

    3i#g%#m

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    TOPIC 8 : PHASE EQUIBLIBRIA

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8. - T>O8. - T>O

    CO(PO&E&T S)STE(CO(PO&E&T S)STE( 3e/inition

    R#o0ltDs l#!states that the 'apor pressure of each

    component in an ideal solution is dependent on the

    'apor pressure of the indi'idual component and the

    mole fraction of the component present in the solution.

    @nce the components ha'e reached equilibrium in the

    solution, the total 'apor pressure of the solution is)

    (is,i*ility

    Ie#l Sol0tion

    R#o0lt?s L#!

    &on-ie#l Sol0tion

    A@eot%ope

    3istil#tion

    C#l,0l#tion

    E5#mple Q0estion

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    8.1 - Single Component System

    TOPIC 8 : PHASE EQUIBLIBRIA

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8. - T>O8. - T>O

    CO(PO&E&T S)STE(CO(PO&E&T S)STE( C#l,0l#tion

    The partial pressure of a sol'ent o'er a solution, PA, is gi'en

    by the 'apour pressure of the pure sol'ent, 8oAtimes the mole

    fraction of the sol'ent in the solution, FA)

    PABFA8oA

    n a solution containing only one solute, AF 1 G B, where

    Bis the mole fraction of the solute. The abo'e equation can

    be rewritten as G

    PA F 1 G B2 PoA

    PA

    F Po

    A

    G B

    PoA

    Po G P F P F Po

    (is,i*ility

    Ie#l Sol0tion

    R#o0lt?s L#!

    &on-ie#l Sol0tion

    A@eot%ope

    3istil#tion

    C#l,0l#tion

    E5#mple Q0estion

    1"

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    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8. - T>O8. - T>O

    CO(PO&E&T S)STE(CO(PO&E&T S)STE( C#l,0l#tion

    Sol0tions t#t ,ont#in mo%e t#n one $ol#tile ,omponents

    n many solutions such as benene and carbon

    tetrachloride, both solute and sol'ent ha'e appreciabletendencies to undergo e'aporation.

    n this case, the 'apour will contain both solute and

    sol'ent molecules, and the 'apour pressure of the

    solution will be the sum of the partial pressures exertedby each component.

    The partial pressure of any component abo'e such a

    mixture is also gi'en by Daoults Eaw.

    (is,i*ility

    Ie#l Sol0tion

    R#o0lt?s L#!

    &on-ie#l Sol0tion

    A@eot%ope

    3istil#tion

    C#l,0l#tion

    E5#mple Q0estion

    1"

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    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8. - T>O8. - T>O

    CO(PO&E&T S)STE(CO(PO&E&T S)STE( C#l,0l#tion

    Sol0tions t#t ,ont#in mo%e t#n one $ol#tile ,omponents

    Thus, the partial pressure of component A , 8Ais gi'en by )

    PA F APOAwhere )

    8A B the 'apour pressure of pure A

    FA B the mole fraction of A in the solution

    (imilarly , the partial pressure of component / , 8/is )

    PBF BPOB

    where )

    8/B the 'apour pressure of pure /

    F/B the mole fraction of / in the solution

    Iinally , the total 'apour pressure of a mixture of A and / is gi'en by

    (is,i*ility

    Ie#l Sol0tion

    R#o0lt?s L#!

    &on-ie#l Sol0tion

    A@eot%ope

    3istil#tion

    C#l,0l#tion

    E5#mple Q0estion

    1"

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    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8. - T>O8. - T>O

    CO(PO&E&T S)STE(CO(PO&E&T S)STE( C#l,0l#tion

    C#l,0l#ting te #po0% P%ess0%e o/ # Sol0tion o/

    t!o $ol#tile ,omponents

    E5#mple :

    A mi5t0%e ,ont#ining

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    TOPIC 8 : PHASE EQUIBLIBRIA

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8. - T>O8. - T>O

    CO(PO&E&T S)STE(CO(PO&E&T S)STE(

    C#l,0l#ting te #po0% P%ess0%e o/ # Sol0tion o/

    t!o ol#tile Components

    Sol0tion : /y using Daoults Eaw,

    Jo of moles ) component A, 33l5 B ;.9&0 mol 33l5component /, 3H3l9B ;.5K mol 3H3l9

    Mole fractions )

    CCl B ;.9&0 B ;.591

    $;.9&0 L ;.5K%

    CHCl B ;.5K B ;.049

    $;.9&0 L ;.5K%

    8artial pressure of each component abo'e the solution )

    PCClF CClPCCl B $;.591%$91 torr% B 9K torr

    PCHClF CHClPCHCl B $;.049%$0&4 torr% B &K4 torr

    Total 'apour pressure )F B L

    (is,i*ility

    Ie#l Sol0tion

    R#o0lt?s L#!

    &on-ie#l Sol0tion

    A@eot%ope

    3istil#tion

    C#l,0l#tion

    E5#mple Q0estion

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    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8. - T>O8. - T>O

    CO(PO&E&T S)STE(CO(PO&E&T S)STE( &on-Ie#l sol0tion

    Actually, 'ery few mixtures really obey

    Daoults law. sually, the measured 'apour

    pressure of the solution is either larger orsmaller than Daoults law.

    f the 'apour pressure of the solution is larger

    than Daoults Eaw, the solution will shows

    positi$e e$i#tion

    f the 'apour pressure of the solution

    issmaller than Daoults Eaw, the solution will

    shows neg#ti$e e$i#tion

    (is,i*ility

    Ie#l Sol0tion

    R#o0lt?s L#!

    &on-ie#l Sol0tion

    A@eot%ope

    3istil#tion

    Positi$e 3e$i#tion

    &eg#ti$e 3e$i#tion

    O C S Q

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    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8. - T>O8. - T>O

    CO(PO&E&T S)STE(CO(PO&E&T S)STE( &on-Ie#l sol0tion : Positi$e 3e$i#tion

    Composition-$#po0% p%ess0%ecur'e for a solutions that

    shows positi'e de'iations from Daoults law

    (is,i*ility

    Ie#l Sol0tion

    R#o0lt?s L#!

    &on-ie#l Sol0tion

    A@eot%ope

    3istil#tion

    Positi$e 3e$i#tion

    &eg#ti$e 3e$i#tion

    TOPIC 8 PHASE EQUIBLIBRIA

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    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8. - T>O8. - T>O

    CO(PO&E&T S)STE(CO(PO&E&T S)STE( &on-Ie#l sol0tion : Positi$e 3e$i#tion

    Composition-$#po0% *oiling tempe%#t0%e i#g%#m /o% #

    sol0tions t#t so!s positi$e e$i#tions /%om R#o0lt?s

    l#!

    (is,i*ility

    Ie#l Sol0tion

    R#o0lt?s L#!

    &on-ie#l Sol0tion

    A@eot%ope

    3istil#tion

    Positi$e 3e$i#tion

    &eg#ti$e 3e$i#tion

    TOPIC 8 PHASE EQUIBLIBRIA

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    TOPIC 8 : PHASE EQUIBLIBRIA

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8. - T>O8. - T>O

    CO(PO&E&T S)STE(CO(PO&E&T S)STE(

    &on-Ie#l sol0tion : Positi$e 3e$i#tion

    #hen te #tt%#,ti$e /o%,es *et!een te sol0te #n

    sol$ent mole,0les #%e !e#4e% t#n tose *et!een sol0te

    mole,0lesor between sol'ent molecules, $A-A , /-/ N A-/%

    neither the solute nor sol'ent particles are held as tightly in

    the solution as they are in the pure substances.

    The escaping tendency of each is therefore greater in the

    solution than in the solute or sol'ent alone.

    As a result, the partial pressures of both of them o'er the

    solution are greater than that predicted by Daoults law.

    Therefore, te sol0tion #s # l#%ge% $#po0% p%ess0%ethan

    expected and exhibit a positi'e de'iation from Daoults law.

    (is,i*ility

    Ie#l Sol0tion

    R#o0lt?s L#!

    &on-ie#l Sol0tion

    A@eot%ope

    3istil#tion

    Positi$e 3e$i#tion

    &eg#ti$e 3e$i#tion

    TOPIC 8 PHASE EQUIBLIBRIA

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    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8. - T>O8. - T>O

    CO(PO&E&T S)STE(CO(PO&E&T S)STE( &on-Ie#l sol0tion : &eg#ti$e 3e$i#tion

    Composition-$#po0% p%ess0%ecur'e for a solution that

    shows negati'e de'iations from Daoults law

    (is,i*ility

    Ie#l Sol0tion

    R#o0lt?s L#!

    &on-ie#l Sol0tion

    A@eot%ope

    3istil#tion

    Positi$e 3e$i#tion

    &eg#ti$e 3e$i#tion

    TOPIC 8 PHASE EQUIBLIBRIA

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    TOPIC 8 : PHASE EQUIBLIBRIA

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8. - T>O8. - T>O

    CO(PO&E&T S)STE(CO(PO&E&T S)STE( &on-Ie#l sol0tion : &eg#ti$e 3e$i#tion

    Composition-$#po0% *oiling tempe%#t0%e i#g%#m /o% #

    sol0tion t#t so! neg#ti$e e$i#tions /%om R#o0lt?s l#!

    (is,i*ility

    Ie#l Sol0tion

    R#o0lt?s L#!

    &on-ie#l Sol0tion

    A@eot%ope

    3istil#tion

    Positi$e 3e$i#tion

    &eg#ti$e 3e$i#tion

    TOPIC 8 PHASE EQUIBLIBRIA

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    TOPIC 8 : PHASE EQUIBLIBRIA

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8. - T>O8. - T>O

    CO(PO&E&T S)STE(CO(PO&E&T S)STE( &on-Ie#l sol0tion : &eg#ti$e 3e$i#tion

    The opposite effect is produced when the solute-sol'ent

    attractions are larger than the solute-solute and sol'ent-

    sol'ent attractions A-B M A-A 7 B-B2.

    *ach substance is held more tightly in the presence of eachother than in their pure liquids.

    As a result, their partial pressures o'er the solution are less

    than Daoults law would predict and their solutions show

    neg#ti$e e$i#tions.

    (is,i*ility

    Ie#l Sol0tion

    R#o0lt?s L#!

    &on-ie#l Sol0tion

    A@eot%ope

    3istil#tion

    Positi$e 3e$i#tion

    &eg#ti$e 3e$i#tion

    TOPIC 8 : PHASE EQUIBLIBRIA

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    TOPIC 8 : PHASE EQUIBLIBRIA

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8. - T>O8. - T>O

    CO(PO&E&T S)STE(CO(PO&E&T S)STE( Ie#l Sol0tion &on-Ie#l Sol0tion

    Positi$e e$i#tion &eg#ti$e e$i#tion

    S0mm#%y o/ sol0tion p%ope%ties

    (is,i*ility

    Ie#l Sol0tion

    R#o0lt?s L#!

    &on-ie#l Sol0tion

    A@eot%ope

    3istil#tion

    TOPIC 8 : PHASE EQUIBLIBRIA

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    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8. - T>O8. - T>O

    CO(PO&E&T S)STE(CO(PO&E&T S)STE( A@eot%ope :

    An aeotrope is a mixture with the s#me te

    ,omposition o/ # $#po0% #n li90iand has

    ,onst#nt *oiling pointand ,#nnot *e

    sep#%#te *y istill#tion.

    A solution that shows positi$e e$i#tionsfrom

    Daoults law, exhibits a minim0m-*oiling

    #@eot%opeand m#5im0m-$#po0% p%ess0%e

    #@eot%ope.

    A solution that shows neg#ti$e e$i#tions

    from Daoults law, exhibits a m#5im0m-*oiling

    #@eot%opeand minim0m-$#po0% p%ess0%e

    #@eot%ope.

    (is,i*ility

    Ie#l Sol0tion

    R#o0lt?s L#!

    &on-ie#l Sol0tion

    A@eot%ope

    3istil#tion

    TOPIC 8 : PHASE EQUIBLIBRIA

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    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8. - T>O8. - T>O

    CO(PO&E&T S)STE(CO(PO&E&T S)STE( 3istill#tion

    A technique used for the separation of

    components of a solution by boiling the

    solution and then condensing its 'apour.

    (imple distillation

    Iractional distillation

    (is,i*ility

    Ie#l Sol0tion

    R#o0lt?s L#!

    &on-ie#l Sol0tion

    A@eot%ope

    3istil#tion

    Simple istill#tion

    N%#,tion#l istill#tion

    3istill#tion *in#%y mi5t0%e

    A@eot%opi, mi5t0%e

    TOPIC 8 : PHASE EQUIBLIBRIA

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    8.1 - Single Component System

    TOPIC 8 : PHASE EQUIBLIBRIA

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8. - T>O8. - T>O

    CO(PO&E&T S)STE(CO(PO&E&T S)STE( Simple 3istill#tion

    (imple distillation is a procedure by which two

    liquids with different boiling points can be

    separated .

    (imple distillation is effecti'e only when

    separating a 'olatile liquid from a non'olatile

    substance or when separating two liquids that

    differ in boiling point by 0; degrees or more.

    (imple distillation is carried out without any

    column pac7ing, n theory, simple distillation

    in'ol'es as few as one theoretical plate .

    (is,i*ility

    Ie#l Sol0tion

    R#o0lt?s L#!

    &on-ie#l Sol0tion

    A@eot%ope

    3istil#tion

    Simple istill#tion

    N%#,tion#l istill#tion

    3istill#tion *in#%y mi5t0%e

    A@eot%opi, mi5t0%e

    TOPIC 8 : PHASE EQUIBLIBRIA

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    TOPIC 8 : PHASE EQUIBLIBRIA

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8. - T>O8. - T>O

    CO(PO&E&T S)STE(CO(PO&E&T S)STE( Simple 3istill#tion App#%#t0s(is,i*ility

    Ie#l Sol0tion

    R#o0lt?s L#!

    &on-ie#l Sol0tion

    A@eot%ope

    3istil#tion

    Simple istill#tion

    N%#,tion#l istill#tion

    3istill#tion *in#%y mi5t0%e

    A@eot%opi, mi5t0%e

    TOPIC 8 : PHASE EQUIBLIBRIA

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    TOPIC 8 : PHASE EQUIBLIBRIA

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8. - T>O8. - T>O

    CO(PO&E&T S)STE(CO(PO&E&T S)STE( N%#,tion#l 3istill#tion

    Iractional distillation is a method to separatemixtures of liquids with boiling points that are

    close to each other by repeated simple

    distillation process.

    n fractional distillation, the 'apors formedfrom the boiling mixture rise into thefractionating column where they condense on

    the columnOs pac7ing.

    As 'apors continue to rise through thecolumn, the liquid that has condensed will

    re'aporie.

    (is,i*ility

    Ie#l Sol0tion

    R#o0lt?s L#!

    &on-ie#l Sol0tion

    A@eot%ope

    3istil#tion

    Simple istill#tion

    N%#,tion#l istill#tion

    3istill#tion *in#%y mi5t0%e

    A@eot%opi, mi5t0%e

    TOPIC 8 : PHASE EQUIBLIBRIA

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    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8. - T>O8. - T>O

    CO(PO&E&T S)STE(CO(PO&E&T S)STE( N%#,tion#l 3istill#tion App#%#t0s(is,i*ility

    Ie#l Sol0tion

    R#o0lt?s L#!

    &on-ie#l Sol0tion

    A@eot%ope

    3istil#tion

    Simple istill#tion

    N%#,tion#l istill#tion

    3istill#tion *in#%y mi5t0%e

    A@eot%opi, mi5t0%e

    TOPIC 8 : PHASE EQUIBLIBRIA

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    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8. - T>O8. - T>O

    CO(PO&E&T S)STE(CO(PO&E&T S)STE(

    N%#,tion#l istill#tion o/ *in#%y mi5t0%e A 6 B2

    (is,i*ility

    Ie#l Sol0tion

    R#o0lt?s L#!

    &on-ie#l Sol0tion

    A@eot%ope

    3istil#tion

    Simple istill#tion

    N%#,tion#l istill#tion

    3istill#tion *in#%y mi5t0%e

    A@eot%opi, mi5t0%e

    TOPIC 8 : PHASE EQUIBLIBRIA

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    8.1 - Single Component System

    TOPIC 8 : PHASE EQUIBLIBRIA

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8. - T>O8. - T>O

    CO(PO&E&T S)STE(CO(PO&E&T S)STE(

    N%#,tion#l istill#tion o/ *in#%y mi5t0%e A 6 B2

    A fractionating column produces the effect of many

    successi'e boiling and condensation cycles

    automatically.The column sies ha'e a large surface area. The

    liquid mixture boils and the 'apour rises up thecolumn.As the temperature drops, the 'apour condenses,

    the liquid $richer in A% drops bac7 into the boiling flas7

    and the 'apour $richer in /% mo'es up the column.

    This happens many times as the 'apour rises up thetube.A long enough column will result in a 'apour of pure

    / at the top of the column and e'entually pure A left

    in the boiling flas7.

    (is,i*ility

    Ie#l Sol0tion

    R#o0lt?s L#!

    &on-ie#l Sol0tion

    A@eot%ope

    3istil#tion

    Simple istill#tion

    N%#,tion#l istill#tion

    3istill#tion *in#%y mi5t0%e

    A@eot%opi, mi5t0%e

    TOPIC 8 : PHASE EQUIBLIBRIA

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    TOPIC 8 : PHASE EQUIBLIBRIA

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8. - T>O8. - T>O

    CO(PO&E&T S)STE(CO(PO&E&T S)STE( Composition o/ #@eot%opi, mi5t0%e

    Te%e #%e some sol0tions t#t e5i*it $e%y l#%ge

    e$i#tions /%om ie#lity.

    (olutions exhibit positi'e de'iationsfrom Daoults law

    (olutions exhibit negati'e de'iations

    from Daoults law

    As # %es0lt7 tey ,#nnot *e tot#lly sep#%#te into

    tei% ,omponents e$en *y /%#,tion#l istill#tion.

    (is,i*ility

    Ie#l Sol0tion

    R#o0lt?s L#!

    &on-ie#l Sol0tion

    A@eot%ope

    3istil#tion

    Simple istill#tion

    N%#,tion#l istill#tion

    3istill#tion *in#%y mi5t0%e

    A@eot%opi, mi5t0%e

    TOPIC 8 : PHASE EQUIBLIBRIA

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    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    100

    78.5

    100% !#te%100% et#nol

    8. - T>O8. - T>O

    CO(PO&E&T S)STE(CO(PO&E&T S)STE(

    Sol0tions e5i*it positi$e e$i#tions

    /%om R#o0lt?s l#!

    These solutions ha'e a maximum in the 'apour pressure

    cur'e and hence a minimum in the boiling point. !iagram

    such a solution has minim0m-*oiling #@eot%ope.

    Te *oiling point i#g%#m /o% !#te%-et#nol mi5t0%e

    A@eot%opi, Composition

    !#te%: .

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    TOPIC 8 : PHASE EQUIBLIBRIA

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8. - T>O8. - T>O

    CO(PO&E&T S)STE(CO(PO&E&T S)STE(

    N%#,tion#l 3istill#tion et#nolG!#te% mi5t0%e

    *thanol-water mixtures $obtained by fermentation of

    sugar for example%, are rich in water.

    Iractional distillation is able to concentrate the alcohol

    to, at best, aeotropic composition of approximately

    K0P by 'olume of ethanol.

    @nce this composition has been achie'ed, the liquid

    and 'apour ha'e the same composition, and noadditional fractionation ta7es place.

    (is,i*ility

    Ie#l Sol0tion

    R#o0lt?s L#!

    &on-ie#l Sol0tion

    A@eot%ope

    3istil#tion

    Simple istill#tion

    N%#,tion#l istill#tion

    3istill#tion *in#%y mi5t0%e

    A@eot%opi, mi5t0%e

    TOPIC 8 : PHASE EQUIBLIBRIA

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    TOPIC 8 : PHASE EQUIBLIBRIA

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    78.5

    100

    8. - T>O8. - T>O

    CO(PO&E&T S)STE(CO(PO&E&T S)STE(

    Sol0tions e5i*it neg#ti$e e$i#tions

    /%om R#o0lt?s l#!

    These solution ha'e a minimum in the 'apour pressure cur'e

    and hence a maximum in the boiling point diagram. A solution

    with such a maximum boiling point is called a m#5im0m-

    *oiling point #@eot%ope.

    Te *oiling point i#g%#m /o% nit%i, #,i-!#te% mi5t0%es

    100% water 100% HNO3

    Tem

    pe%#t0%e

    A@eot%opi, Composition$9.=P water and 4=.&P HJ@9%

    (is,i*ility

    Ie#l Sol0tion

    R#o0lt?s L#!

    &on-ie#l Sol0tion

    A@eot%ope

    3istil#tion

    Simple istill#tion

    N%#,tion#l istill#tion

    3istill#tion *in#%y mi5t0%e

    A@eot%opi, mi5t0%e

    TOPIC 8 : PHASE EQUIBLIBRIA

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    8.1 - Single Component System

    TOPIC 8 : PHASE EQUIBLIBRIA

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8. - T>O8. - T>O

    CO(PO&E&T S)STE(CO(PO&E&T S)STE(

    N%#,tion#l istil#tion nit%i, #,iG!#te% mi5t0%e

    Iractional distillation is able to concentrate the nitric

    acid. Irom the diagram, this aeotropic mixture can be

    separating them into, at best, one pure component plus

    a solution ha'ing the maximum boiling point $aeotropic

    composition%.

    Iractional distillation is able to concentrate the nitric

    acid.

    (is,i*ility

    Ie#l Sol0tion

    R#o0lt?s L#!

    &on-ie#l Sol0tion

    A@eot%ope

    3istil#tion

    Simple istill#tion

    N%#,tion#l istill#tion

    3istill#tion *in#%y mi5t0%e

    A@eot%opi, mi5t0%e

    TOPIC 8 : PHASE EQUIBLIBRIA

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    8.1 - Single Component System

    TOPIC 8 : PHASE EQUIBLIBRIA

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    8." - COLLI'ATIE8." - COLLI'ATIE

    PROPERTIESPROPERTIES O*+e,ti$e :At te en o/ tis lesson st0ents so0l *e #*le to:

    #2 3e/ine ,ollig#ti$e p%ope%ties.

    *2 3es,%i*e te ,ollig#ti$e p%ope%ties o/ # sol0tion:

    i. lo!e%ing o/ $#po0% p%ess0%e

    ii. *oiling point ele$#tion

    iii. /%ee@ing point ep%ession

    i$. osmoti, p%ess0%e

    ,2 Pe%/o%m ,#l,0l#tions on ,ollig#ti$e p%ope%ties o/# non-ele,t%olyte sol0tion ,ont#ining non-$ol#tile

    sol0tes.

    Collig#ti$e p%ope%ties

    TOPIC 8 : PHASE EQUIBLIBRIA

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    8.1 - Single Component System

    TOPIC 8 : PHASE EQUIBLIBRIA

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    Collig#ti$e p%ope%ties

    8roperties of solutions which depend on the

    number of molecules present and not on the

    7ind of molecules.

    Iour colligati'e properties are )

    . Capour pressure lowering

    &. Ireeing point depression9. /oiling point ele'ation

    5. @smotic pressure

    Collig#ti$e p%ope%ties

    #po0% p%ess0%e lo!e%ing

    N%ee@ing point ep%ession

    Boiling point ele$#tion

    Osmoti, p%ess0%e

    8." - COLLI'ATIE8." - COLLI'ATIE

    PROPERTIESPROPERTIES

    TOPIC 8 : PHASE EQUIBLIBRIA

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    8.1 - Single Component System

    Q

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    Te e//e,t o/ # non$ol#tile sol0te on te p#se

    i#g%#m /o% !#te%.

    #hen a solute is added to pure sol'ent, the mole fraction

    decreases. Addition of a solute at constant T and 8 lowers the

    sol'ent chemical potential.

    Collig#ti$e p%ope%ties

    #po0% p%ess0%e lo!e%ing

    N%ee@ing point ep%ession

    Boiling point ele$#tion

    Osmoti, p%ess0%e

    8." - COLLI'ATIE8." - COLLI'ATIE

    PROPERTIESPROPERTIES

    TOPIC 8 : PHASE EQUIBLIBRIA

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    8.1 - Single Component System

    Q

    8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    #po0% p%ess0%e lo!e%ing

    The change in 'apor pressure where the solute is

    less 'olatile than the sol'ent is regulated by

    DaoultOs law, which states that the pressure is

    equal to the mole fraction of the sol'ent times the'apor pressure of pure sol'ent) 8BFsol'entQ8:.

    The change in the 'apor pressure occurs when a

    solute is added to a sol'ent.

    f a non'olatile solute $one that has no tendency

    to escape from a solution% is dissol'ed in a liquid

    sol'ent, the 'apour pressure of the sol'ent is

    lowered.

    Collig#ti$e p%ope%ties

    #po0% p%ess0%e lo!e%ing

    N%ee@ing point ep%ession

    Boiling point ele$#tion

    Osmoti, p%ess0%e

    8." - COLLI'ATIE8." - COLLI'ATIE

    PROPERTIESPROPERTIES

    TOPIC 8 : PHASE EQUIBLIBRIA

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    8.1 - Single Component System 8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    #po0% p%ess0%e lo!e%ing

    #hen a solute is added to the sol'ent, some of the solute

    molecules occupy the space near the surface of the liquid, as

    shown. #hen a solute is dissol'ed in a sol'ent, the number of

    sol'ent molecules near the surface decreases, and the 'apor

    pressure of the sol'ent decreases.

    t decreases the rate at which the sol'ent molecules in the liquid

    can escape into the gas phase. As a result, the 'apor pressure

    of the sol'ent escaping from a solution should be smaller than

    the 'apor pressure of the pure sol'ent.

    P Po

    Collig#ti$e p%ope%ties

    #po0% p%ess0%e lo!e%ing

    N%ee@ing point ep%ession

    Boiling point ele$#tion

    Osmoti, p%ess0%e

    8." - COLLI'ATIE8." - COLLI'ATIE

    PROPERTIESPROPERTIES

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    8.1 - Single Component System 8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    C#l,0l#tion $#po0% p%ess0%e lo!e%ing

    APBX=A

    P-A

    P

    APBX-A

    P=A

    P

    A)P

    BX-(1=

    AP

    1=BX+AX

    solventP

    solventX=

    solutionP

    ABA PXP =

    Collig#ti$e p%ope%ties

    #po0% p%ess0%e lo!e%ing

    N%ee@ing point ep%ession

    Boiling point ele$#tion

    Osmoti, p%ess0%e

    8." - COLLI'ATIE8." - COLLI'ATIE

    PROPERTIESPROPERTIES

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    8.1 - Single Component System 8. - T!o Component System 8." - Collig#ti$e P%ope%ties

    C#l,0l#tion $#po0% p%ess0%e lo!e%ing

    The 'apour pressure of pure water at &4o3 is

    &0.& torr. #hat is the 'apour pressure of a

    solution which contains &;.; g glucose,

    34H&@4in 1; g water