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5 mol ideal gas of diatonic molecules( Cv,m=2.5R, T= 400K, P= 200kpa) was compressed to 400kpa

5 mol ideal gas of diatonic molecules( Cv,m=2.5R, T= 400K, P= 200kpa) was compressed to 400kpa

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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5 mol ideal gas of diatonic molecules( Cv,m=2.5R, T= 400K, P= 200kpa) was compressed to 400kpa through a reversible, adiabatic process. Calculate delta U and Delta H

 

 

 

 

 

Expert Solution
Step 1: Calculate the final temperature (T2) after compression using the ideal gas law.

The ideal gas law is given by:

PV=nRT

Where:

P = pressure

V = volume

n = number of moles

R = ideal gas constant

T = temperature

Rearrange the equation to solve for T2:

T2=(P2∗V)/(n∗R)

Given:

P1 = 200 kPa (initial pressure)

P2 = 400 kPa (final pressure)

n = 5 moles

R = 8.314 J/(mol·K) (universal gas constant)

Now, calculate T2:

T2 =(400kPa∗V)/(5moles∗8.314J/(mol·K))

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