For methyl chloride vapor at 100 °C, second and third virial coefficients are: B=-242.5 cm³/mol and C = 25,200 cm6/mol² Calculate work of mechanically reversible, isothermal compression of 1 mol of methyl chloride from 1 bar to 55 bar at 100 °C using: a. Z=1+B/V + C/V² = PV/RT b. Z 1+B'P + C'P² B' = B RT and C' = = (C-B²)/(RT)²

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
icon
Related questions
Question
100%
Chemical engineering thermodynamics Please solve part a & b
For methyl chloride vapor at 100 °C, second and third virial coefficients are:
B=-242.5 cm³/mol and C = 25,200 cm6/mol²
Calculate work of mechanically reversible, isothermal compression of 1 mol of methyl
chloride from 1 bar to 55 bar at 100 °C using:
a. Z=1+ B/V+ C/V² = PV/RT
b. Z=1+B'P + C'P²
B
=
B' = and C' (C-B²)/(RT)²
RT
Also find Z1 and Z2
Hint for part (a):
I.
First, find the volumes at both conditions (1 bar and 55 bar) by solving the cubic
equation for V.
II.
Then, use W = -
V2
V₁
- √√2 P. dV and substitute for P in terms of V from the given virial
equation of state
Hint for part (b):
I.
You need to integrate W in terms of dP and not dV (as was in part (a)) since Z here
is given in terms of P.
RTZ RT
II.
Use V =
P
III.
P and dP
P
- (1 + B'P + C'P²), now differentiate this and find dV in terms of
Substitute this dV into the work integral and find the work done from P1 to P2.
You cannot use direct IG relation for isothermal work because methyl chloride is not
ideal gas.
Transcribed Image Text:For methyl chloride vapor at 100 °C, second and third virial coefficients are: B=-242.5 cm³/mol and C = 25,200 cm6/mol² Calculate work of mechanically reversible, isothermal compression of 1 mol of methyl chloride from 1 bar to 55 bar at 100 °C using: a. Z=1+ B/V+ C/V² = PV/RT b. Z=1+B'P + C'P² B = B' = and C' (C-B²)/(RT)² RT Also find Z1 and Z2 Hint for part (a): I. First, find the volumes at both conditions (1 bar and 55 bar) by solving the cubic equation for V. II. Then, use W = - V2 V₁ - √√2 P. dV and substitute for P in terms of V from the given virial equation of state Hint for part (b): I. You need to integrate W in terms of dP and not dV (as was in part (a)) since Z here is given in terms of P. RTZ RT II. Use V = P III. P and dP P - (1 + B'P + C'P²), now differentiate this and find dV in terms of Substitute this dV into the work integral and find the work done from P1 to P2. You cannot use direct IG relation for isothermal work because methyl chloride is not ideal gas.
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Introduction to Chemical Engineering Thermodynami…
Introduction to Chemical Engineering Thermodynami…
Chemical Engineering
ISBN:
9781259696527
Author:
J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:
McGraw-Hill Education
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
Process Dynamics and Control, 4e
Process Dynamics and Control, 4e
Chemical Engineering
ISBN:
9781119285915
Author:
Seborg
Publisher:
WILEY
Industrial Plastics: Theory and Applications
Industrial Plastics: Theory and Applications
Chemical Engineering
ISBN:
9781285061238
Author:
Lokensgard, Erik
Publisher:
Delmar Cengage Learning
Unit Operations of Chemical Engineering
Unit Operations of Chemical Engineering
Chemical Engineering
ISBN:
9780072848236
Author:
Warren McCabe, Julian C. Smith, Peter Harriott
Publisher:
McGraw-Hill Companies, The