5. Air initially at 20°C is compressed by a factor of 15. (a) What is the final temperature assuming that the compression is adiabatic and y≈ 1.4,17 the value of 7 for air in the relevant range of temperatures? By what factor does the pressure increase?

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Subject: Statistical Physics

Topic: Thermodynamics

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[Number 5 only]

 

Two identical systems each contain v= 0.1 mole of an ideal gas at T = 300 K and P = 2.0x10 Pa.
4. The pressure in the two systems is reduced by a factor of 2, allowing the systems to expand, one
adiabatically and one isothermally. What are the final temperatures and volumes of each system?
Assume that y = 5/3.
5.
Air initially at 20°C is compressed by a factor of 15.
(a) What is the final temperature assuming that the compression is adiabatic and y≈ 1.4,17 the
value of 7 for air in the relevant range of temperatures? By what factor does the pressure
increase?
(b) By what factor does the pressure increase if the compression is isothermal?
(c) For which process does the pressure change more?
☐
Transcribed Image Text:Two identical systems each contain v= 0.1 mole of an ideal gas at T = 300 K and P = 2.0x10 Pa. 4. The pressure in the two systems is reduced by a factor of 2, allowing the systems to expand, one adiabatically and one isothermally. What are the final temperatures and volumes of each system? Assume that y = 5/3. 5. Air initially at 20°C is compressed by a factor of 15. (a) What is the final temperature assuming that the compression is adiabatic and y≈ 1.4,17 the value of 7 for air in the relevant range of temperatures? By what factor does the pressure increase? (b) By what factor does the pressure increase if the compression is isothermal? (c) For which process does the pressure change more? ☐
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