Estimate the molar volume of nitrogen gas at 273 K and 10 bar using the van der Waalsequation of state. Parameters a and b for nitrogen are 1.37 L²bar.mol-2 and 0.0387L.mol-¹, respectively. The universal gas constant is 8.314x102 L.bar.K.mol-¹. The vander Waals equation of state is:P=RT/(V - b) - a/V²

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Answered: Estimate the molar volume of nitrogen…

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

Estimate the molar volume of nitrogen gas at 273 K and 10 bar using the van der Waals
equation of state. Parameters a and b for nitrogen are 1.37 L²bar.mol-2 and 0.0387
L.mol-¹, respectively. The universal gas constant is 8.314x102 L.bar.K.mol-¹. The van
der Waals equation of state is:
P=RT/(V - b) - a/V²

Expert Solution

Step 1: given data

$g i v e n space equals space T space equals space 273 space K P space equals space 10 space b a r space equals space 10 space a t m a space equals space 1.37 space L squared b a r asterisk times m o l to the power of negative 2 end exponent b space equals space 0.0387 space L. m o l to the power of negative 1 end exponent R thin space equals space 8.314 asterisk times 10 to the power of negative 2 end exponent space L. b a r. K to the power of negative 1 end exponent m o l to the power of negative 1 end exponent t o space f i n d space equals space m o l r space v o l u m e$