A gas that behaves as an ideal gas has internal energy equal to 457 J/mol at 35°C. What is thespecific enthalpy of the gas at 12.5 atm ? What would the internal energy be if the gas had a specificenthalpy of 4317 J/mol under the same conditions?

Given: Gas behaves ideally Specific internal energy (U)= 457 Jmol Temperature (T) = 35 °C Pressure…

Answered: A gas that behaves as an ideal gas has…

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

A gas that behaves as an ideal gas has internal energy equal to 457 J/mol at 35°C. What is the
specific enthalpy of the gas at 12.5 atm ? What would the internal energy be if the gas had a specific
enthalpy of 4317 J/mol under the same conditions?

Expert Solution

Step 1

Given:

Gas behaves ideally

Specific internal energy (U)= 457 $\frac{J}{m o l}$

Temperature (T) = 35 $° C$

Pressure (P) = 12.5 atm

It is required to calculate specific enthalpy of the gas (H)

It is required to calculate internal energy at same conditions if gas has specific enthalpy of 4317 $\frac{J}{m o l}$ under same conditions

Step 2

It is given that gas behaves ideally, from ideal gas equation, specific volume is calculated as follows

$V = \frac{R T}{P} = \frac{8.314 \frac{J}{m o l . K} * (273 + 35) K}{12.5 * 1.013 * 10^{5} P a} \Rightarrow V = 2.022 * 10^{- 3} \frac{m^{3}}{m o l} S p e c i f i c e n t h a l p y i s g i v e n b y t h e f o l l o w i n g e q u a t i o n H = U + P V E q u a t i o n (1) H = 457 \frac{J}{m o l} + 12.5 * 1.03 * 10^{5} P a * 2.022 * 10^{- 3} \frac{m^{3}}{m o l} H = 3017.3575 \frac{J}{m o l}$

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