dispers 13
TRANSCRIPT
![Page 1: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/1.jpg)
Дисперс системийн молекул кинетикийн шинж чанар
Молекулын дулааны хөдөлгөөн (диффузи) ба Броуны хөдөлгөөнЖинхэн уусмал ба коллоид систем дотор явагдах диффузи(Эйнштейн – Смолуковскийн тэгшитгэл)Коллоид системийн осмос даралт
Дисперс систем дэх седментацийн үзэгдэл. Седментаци
Суспензийн седиментацийн анализ
![Page 2: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/2.jpg)
Robert Brown (1773–1858)
![Page 3: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/3.jpg)
Молекулын дулааны хөдөлгөөн (диффузи) ба Броуны хөдөлгөөн
0 10 20 30 40 50 60 70 80 90 100 1100
10
20
30
40
50
60
70
80
A
B
x
![Page 4: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/4.jpg)
Einstein in 1947
![Page 5: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/5.jpg)
Marian Ritter von Smolan Smoluchowski
![Page 6: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/6.jpg)
N
xx i
22/12
rN
RTx
A32
![Page 7: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/7.jpg)
![Page 8: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/8.jpg)
Sddx
dcDdm
Жинхэнэ уусмал ба коллоид систем дотор явагдах диффузи (Эйнштейн – Смолуковскийн тэгшитгэл)
m-диффузилэж байгаа бодисын хэмжээ, массdc/dx-концентрацийн градеинт утга, өөрөөр хэлбэл х тэнхлэгийн дагуу концентрацийн өөрчилөлтS-диффузи явж буй талбай -диффузийн хугацаа- тэмдэг dc/dx-д хамаарна.
![Page 9: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/9.jpg)
Adolf Eugen Fick
![Page 10: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/10.jpg)
dx
dcD
d
dm
Siä
1
Sddx
dcDm
![Page 11: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/11.jpg)
S=1,dc/dx , =1 ийм тохиолдолд [м2/с] [дин м]
r
kT
rN
RTD
A 66
1908 онд Эйнштейн Df (T, , ) хамааралыг харуулсан тэгшитгэлийг гаргажээ.
![Page 12: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/12.jpg)
E E'
c c1
P P1
dx
f=f’
![Page 13: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/13.jpg)
бөмбөлөг хэлбэртэй жижиг хэсгийн хувьд:
rB 6
dx
d
dxF
12
UBf
dx
dc
Nc
RT
Ncdx
df
A
UBf
![Page 14: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/14.jpg)
f=f’-үед :
dx
dc
Nc
RTUA
A
Bdx
dc
N
RTCU
A
1
Bdx
dc
N
RTm
A
1
![Page 15: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/15.jpg)
mdx
dcD
xd
cdD
Bxd
cd
N
RT 1
r
kT
rN
RTD
A 66
1
![Page 16: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/16.jpg)
D
kTr
6
![Page 17: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/17.jpg)
m1=1/2c
1x
m2=-1/2c
2x
c2
M
xc1
m1=1/2c
1x
![Page 18: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/18.jpg)
xcm 121
1
xcm 221
2
)( 1221
121
221
12
ccxxcxcòòm
![Page 19: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/19.jpg)
dx
dcxcc 12
x
cc
dx
dc
12
![Page 20: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/20.jpg)
m dx
dcD
dx
dcxm 2
21
![Page 21: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/21.jpg)
Dx 2Смолуховскийн тэгшитгэл
rN
RT
rN
RTx
AA 36
2
2
2xD
![Page 22: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/22.jpg)
Сведберг, Перрен, Де-Броиль
)3/( 11 rRTkkx
x
Ажигласан цаг
1 2 3 4
-ийн утгаТуршлагийн
4.3 5.8 6.6 8.3
Онолын 4.1 5.8 7.6 8.2)3/( 22 rRTkkx
)3/(/ 33 rRkTkx 6.8*1023
![Page 23: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/23.jpg)
Коллоид системийн осмос даралт
![Page 24: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/24.jpg)
![Page 25: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/25.jpg)
RTM
cRT
V
Mm
/
m0=M/N гэдгийг ашиглавал:
RTVNòm 0/
kT
![Page 26: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/26.jpg)
RT1 RT2 2
1
2
1
![Page 27: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/27.jpg)
31
32
323
4
313
4
2
1
2
1
r
r
Nr
cNr
c
![Page 28: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/28.jpg)
Дисперс систем дэх седментацийн үзэгдэл. Седментаци
Дисперс фазын жижиг хэсгийн нягт- Дисперс орчины нягт-0
F=V(-0)g
334 rV
V(-0)=m
![Page 29: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/29.jpg)
F= 3
34 r (-0)g
334 r Ur 6(-0)g=
)(9
2
6
)(0
20
334
gr
r
grU
![Page 30: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/30.jpg)
Ug
r
)(2
9
0
constg
K
)(2
9
0
UKr
H
U H
Kr
![Page 31: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/31.jpg)
![Page 32: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/32.jpg)
![Page 33: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/33.jpg)
![Page 34: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/34.jpg)
![Page 35: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/35.jpg)
![Page 36: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/36.jpg)
iii
id
dpqP
13
1
CQCC
3
d
dptg
![Page 37: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/37.jpg)
3 tgtg 131 CQCC
3
3
d
dp1CC
OQ3/ОРЕ -харьцаа нь судалж байгаа суспенз доторх rmax>r>r3 радиусын интервальд багтах фракцийн харьцангуй жин буюу эзлэх хувийг илэрхийлнэ. Үүний нэгэн адил OQ2/ОРЕ харьцаа нь радиусаас rmax хүртэлх радиустай фракцийн эзлэх хувийг илэрхийлнэ.
22 /hKr
![Page 38: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/38.jpg)
F(r)=Q/(r1- r2)=Q/r
Q(r),% =OQ2/OPE100%
![Page 39: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/39.jpg)
![Page 40: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/40.jpg)
![Page 41: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/41.jpg)
![Page 42: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/42.jpg)
dhdc
Diä
Дисперс системд Седиментаци-Диффузийн тэнцвэр тогтох
cmg
cUiñ
r6 cä ii
![Page 43: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/43.jpg)
dhdcc
kTmg
dhdc
rkT
cr
òg
ii
ñ
ä
6
6
1äc ii 1äc ii 1äc ii
![Page 44: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/44.jpg)
1dhdc
c
kT
mg
dhkT
mg
c
dc h
kT
mg
c
c
h
0ln
kT
mghcch exp0
![Page 45: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/45.jpg)
kT
mghPPh exp0
hkT
mg
h
0ln
mg
c
ckT
h h
0ln
![Page 46: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/46.jpg)
II
![Page 47: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/47.jpg)
III
![Page 48: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/48.jpg)
![Page 49: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/49.jpg)
![Page 50: Dispers 13](https://reader035.vdocuments.site/reader035/viewer/2022062313/55b81dabbb61ebc5798b47bd/html5/thumbnails/50.jpg)
Анхаарал тавьсанд баярлалаа!