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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

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
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
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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.
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