CHAPTER 3. Volumetric Properties of Pure Fluids243.42. For methyl chloride at 100°C the second and third virial coefficients are:B -242.5 cm3.mol -1 C= 25,200 cmo.mol-Calculate the work of mechanically reversible, isothermal compression of 1 mol ofmethyl chloride from 1 bar to 55 bar at 100°C. Base calculations on the followingforms of the virial equation:totВ С+V32(a)ताीdealz=1+tvV2(b)Z 1 B'P + C'P2E0.0-Grst130С -В2Вand C'=В'"wherero boap A BEE11(RT)2RTfaups nisinosWhy don't both equations give exactly the same result?HOS & BRIGEals AC14344

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Asked Sep 25, 2019
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CHAPTER 3. Volumetric Properties of Pure Fluids
24
3.42. For methyl chloride at 100°C the second and third virial coefficients are:
B -242.5 cm3.mol -1 C= 25,200 cmo.mol-
Calculate the work of mechanically reversible, isothermal compression of 1 mol of
methyl chloride from 1 bar to 55 bar at 100°C. Base calculations on the following
forms of the virial equation:
tot
В С
+
V
32(a)
ताी
deal
z=1+tv
V2
(b)
Z 1 B'P + C'P2
E0.0-
Grst
130
С -В2
В
and C'=
В'"
where
ro boap A BEE
11
(RT)2
RT
faups nisinos
Why don't both equations give exactly the same result?
HOS & BRIGE
als A
C
1
43
44
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CHAPTER 3. Volumetric Properties of Pure Fluids 24 3.42. For methyl chloride at 100°C the second and third virial coefficients are: B -242.5 cm3.mol -1 C= 25,200 cmo.mol- Calculate the work of mechanically reversible, isothermal compression of 1 mol of methyl chloride from 1 bar to 55 bar at 100°C. Base calculations on the following forms of the virial equation: tot В С + V 32(a) ताी deal z=1+tv V2 (b) Z 1 B'P + C'P2 E0.0- Grst 130 С -В2 В and C'= В'" where ro boap A BEE 11 (RT)2 RT faups nisinos Why don't both equations give exactly the same result? HOS & BRIGE als A C 1 43 44

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Step 1

(a)

 

Write the first virial equation and compare it with the expression for the compressibility factor for methyl chloride at initial conditions considering the process to be Isothermal.

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C В Z 1+ PV Z = RT В PV1+ C RT

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Step 2

Substitute suitable values and obtain the value of initial volume of Methyl Chloride.

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(-242.5 cm3 -mol) (25,200 cm5 -mol2 1+ (1 bar)V VR И cmbar(373.15 K) 83.14 3 mol K V 30780 cm3 -mol"1

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Step 3

Similarly, compare the expression for compressibility factor with the first virial equation for final condit...

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В, B =1+ + C RT (-242.5 cm3 mol") (25200 cm mol) =1+ (55 bar)V cm3.bar (373.15 K 83.14 mol K V 241.33 cm3 .mol

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