b) A nearly flat bicycle tire becomes noticeably warmer after it has been pumped up.Approximate this process as a reversible adiabatic compression. Take the initial pressureand initial temperature of the air before it is put in the tire to be P = 1.00 bar and T; = 298K. The final volume of the air in the tire is V = 1.00 L and the final pressure is Pf = 5.00bar.Hints:• Cy.m = 5/2 R.Heat Capacity ratio, y =Cp.mCy,m= 1.4%3DCy,mFor a reversible adiabatic change, 4 = (4 )°, where c =RFor perfect gas: CP.m - Cv,m = RCP.m and Cv.m denote molar heat capacity at constant pressure and volume,respectively. Tand V are temperature and volume at initiate (i) state ad final (f) state.i) Derive a mathematical expression to show the relationship of temperature, volumeand heat capacity ratio (y) for the transformation of this process from initial to finalstates.

Answered: Image /qna-images/answer/ca5b2614-93c5-4bf5-b2ba-ba2b3d8be346.jpg

b) A nearly flat bicycle tire becomes noticeably warmer after it has been pumped Approximate this process as a reversible adiabatic compression. Take the initial pres and initial temperature of the air before it is put in the tire to be P = 1.00 bar and T = K. The final volume of the air in the tire is V = 1.00 L and the final pressure is P = bar.

b) A nearly flat bicycle tire becomes noticeably warmer after it has been pumped Approximate this process as a reversible adiabatic compression. Take the initial pres and initial temperature of the air before it is put in the tire to be P = 1.00 bar and T = K. The final volume of the air in the tire is V = 1.00 L and the final pressure is P = bar.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

b) A nearly flat bicycle tire becomes noticeably warmer after it has been pumped up.
Approximate this process as a reversible adiabatic compression. Take the initial pressure
and initial temperature of the air before it is put in the tire to be P = 1.00 bar and T; = 298
K. The final volume of the air in the tire is V = 1.00 L and the final pressure is Pf = 5.00
bar.
Hints:
• Cy.m = 5/2 R.
Heat Capacity ratio, y =
Cp.m
Cy,m
= 1.4
%3D
Cy,m
For a reversible adiabatic change, 4 = (4 )°, where c =
R
For perfect gas: CP.m - Cv,m = R
CP.m and Cv.m denote molar heat capacity at constant pressure and volume,
respectively. Tand V are temperature and volume at initiate (i) state ad final (f) state.
i) Derive a mathematical expression to show the relationship of temperature, volume
and heat capacity ratio (y) for the transformation of this process from initial to final
states.

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