Answered: the van der Waals equation of state…

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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Question

What is the final pressure (in bar) of the gas in the cylinder, assuming the gas is described by the van der Waals equation of state with a = 8.0x10^6 cm^6*bar/mol^2 and b = 100 cm^3/mol.

Expert Solution

Step 1: Explaining

Using the van der Waals equation of state, you can apply the following equation to get the gas's ultimate pressure in the cylinder:

$open parentheses P plus fraction numerator a n squared over denominator V squared end fraction close parentheses open parentheses V minus n b close parentheses equals n R T$

Where:

The pressure (in bars) is P.
The value n represents the moles of gas (in mol).
The ideal gas constant, or R, has a value of about. $0.0831 fraction numerator space L space b a r over denominator left parenthesis m o l space K right parenthesis end fraction$ .
The absolute temperature, T, is expressed in Kelvin.
V is the gas's volume (in L).
The van der Waals constant (a) is measured in L²*bar/mol².
Van der Waals constant (measured in L/mol) is b.