thermo test2 soln

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MEEN 301 Thermodynamics Name:_-f/<:"";::' ::...:oe ••••• ~'7/ _ Dr.Shana Spring 2013 Date: _ 1. (25 points) A Carnot engine operates between two temperature reservoirs maintained at 200°C and 20°C, respectively. If the desired output of the engine is 15 kW. Determine the heat transfer from the high-temperature reservoir and the heat transfer from the low-temperature reservoir. 1

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Solutions to thermodynamic problems

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Page 1: Thermo Test2 Soln

MEEN 301 Thermodynamics Name:_-f/<:"";::' ::...:oe•••••~'7/ _

Dr.Shana Spring 2013 Date: _

1. (25 points)

A Carnot engine operates between two temperature reservoirs maintained at 200°C and 20°C,

respectively. If the desired output of the engine is 15 kW. Determine the heat transfer from the

high-temperature reservoir and the heat transfer from the low-temperature reservoir.

1

Page 2: Thermo Test2 Soln

2. (25 points)

After a combustion process in a cylinder, the pressure is 1200 kPa and the temperature is

350°C. The gases are expanded to 140 kPa with a reversible adiabatic process. Calculate the

work done by the gases, assuming they can be approximated by air with constant specific heats.ort -W~

T ~fA} z: """

W=W _U,_UL..-~ C~ T\ ---(J)

::::: ~\1 i o,\,) {"2....- - ,}

" " V)..\,-O/P" L~ftu- fY/J{;e4J ....i/) ue V L'

.--:--(" --- (P2..-)~ ~ (, 23 tfiJ;lf 0 )~L.- - (f - - i'Z.f51Jf,

l.(go k-

1

-,

(

.,,-- -~ -

lvA-VI

@-:::9u.J::- "L/O Lh'L3 - ?31), ..

2

Page 3: Thermo Test2 Soln

3. (25 points)

A piston-cylinder device contains 0.75 kg of nitrogen gas at 140 kPa and 3rc.The gas is compressed slowly in a polytropic process during whichPV1.3= constant. The process ends when the volume is reduced by one-half.Determine the entropy change of nitrogen during this process.

M :=;: 0 "7~/4---QJ ~ I40 It:- ~CA.

I tJ1 C - 3ior-.it -z: 3'7 -V - O ..sv,2---

~ I ,'3. )k _(~)-:::_ :L -z: I, '2-51~ -\:.v--r; ~~ Tz- z: /,2-:>/1 ('TI) ;:0 3§/,bS-

52-- - 5, zz: LV L T2 -t f-.Q---, \I:L

" VI--r /v?, L/ {)C. -==7 L-." I A-V :::- ..7~II .E'--rIhl --- t:"-s JC--

~ ,'1'/v.L, U' j.. '5 II).{- ~.3/l) £v. O'~S:t-- -- 5, -- ~g'1J1

__ ~fcJ~ ~,.- \ oS' i-q

S'"L--~Sl'-- ML-S-z..-S,) -Jz: D' 75: ~)< ,~!£.: Af1 EJ

v 03i l1 J:::-3

---~-------------------------------------------

Page 4: Thermo Test2 Soln

4. (25 points)

An inventor has proposed the insulated device shown which operates with H20 as the medium.

Determine T3.

"rnj= 3.03 kg/sP1=4 MPar,= 5000 C

Insulated

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