A nearly flat tire becomes noticeable warmer after it has been pumped up. Approximate this process as a reversible adiabatic compression of an ideal gas. Assume the initial pressure and temperature of the air before it is put in the tire to be pi = 1 atm and Ti = 25ºC and that CV,m = 3R/2. The final volume of the air in the tire is Vf = 2.00 L and the final pressure pf = 90 psi. Calculate the final temperature of the air in the tire (1 psi = 0.068046 atm, psi = pound per square inch). Also, calculate ∆U and ∆S during this process.

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
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A nearly flat tire becomes noticeable warmer after it has been pumped up. Approximate this process as a reversible adiabatic compression of an ideal gas. Assume the initial pressure and temperature of the air before it is put in the tire to be pi = 1 atm and Ti = 25ºC and that CV,m = 3R/2. The final volume of the air in the tire is Vf = 2.00 L and the final pressure pf = 90 psi.

Calculate the final temperature of the air in the tire (1 psi = 0.068046 atm, psi = pound per square inch).

Also, calculate ∆U and ∆S during this process.

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