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A 0.357 mol sample of N, (g), initially at 298 K and 1.00 atm, is held at constant pressure while enough heat is applied to raise the temperature of the gas by 12.3 K. Calculate the amount of heat q required to bring about this temperature change, and find the corresponding total change in the internal energy AU of the gas. Assume that the constant-pressure molar specific heat for N, (g), which consists of linear molecules, is equal to 7R/2, where R = 8.3145 J/(mol-K) is the ideal gas constant.

A 0.357 mol sample of N, (g), initially at 298 K and 1.00 atm, is held at constant pressure while enough heat is applied to raise the temperature of the gas by 12.3 K. Calculate the amount of heat q required to bring about this temperature change, and find the corresponding total change in the internal energy AU of the gas. Assume that the constant-pressure molar specific heat for N, (g), which consists of linear molecules, is equal to 7R/2, where R = 8.3145 J/(mol-K) is the ideal gas constant.

Principles of Modern Chemistry
Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Chapter12: Thermodynamic Processes And Thermochemistry
Section: Chapter Questions
Problem 66AP
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A 0.357 mol sample of N, (g), initially at 298 K and 1.00 atm, is held at constant pressure while enough heat is applied to raise the temperature of the gas by 12.3 K. Calculate the amount of heat q required to bring about this temperature change, and find the corresponding total change in the internal energy AU of the gas. Assume that the constant-pressure molar specific heat for N, (g), which consists of linear molecules, is equal to 7R/2, where R = 8.3145 J/(mol-K) is the ideal gas constant. q = J AU = J > TOOLS x10
Transcribed Image Text:A 0.357 mol sample of N, (g), initially at 298 K and 1.00 atm, is held at constant pressure while enough heat is applied to raise the temperature of the gas by 12.3 K. Calculate the amount of heat q required to bring about this temperature change, and find the corresponding total change in the internal energy AU of the gas. Assume that the constant-pressure molar specific heat for N, (g), which consists of linear molecules, is equal to 7R/2, where R = 8.3145 J/(mol-K) is the ideal gas constant. q = J AU = J > TOOLS x10
Expert Solution
Step 1

Given , 

Number of moles=0.357 mol

Temperature=298 K

Pressure= 1atm

R=8.3145 Jmol K

CP=7R2

As,CP-CV=R⇒CV=CP-R⇒CV=7R2-R=5R2⇒CV=5R2

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