Temperature Change in Adiabatic Process for Ideal Monatomic and Diatomic Gases

In summary, the problem involves calculating the temperature change in an ideal monatomic gas and an ideal diatomic gas in an adiabatic process where 2.0 kJ of work is done on each mole of gas. The relevant equations are Q = 0, dU = -W, W = (p_1 V_1 - p_2 V_2) / (y - 1), pV^y = const., and TV^(y-1) = const. This is for an introductory physics course and the problem can be solved using the adiabatic process, as there is no heat transfer.
  • #1
akan
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Homework Statement


a) By how much does the temperature of an ideal monatomic gas change in an adiabatic process in which 2.0 kJ of work are done on each mole of gas?
b) By how much does the temperature of an ideal diatomic gas (with molecular rotation but no vibration) change in an adiabatic process in which 2.0 kJ of work are done on each mole of gas?

Homework Equations


Q = 0
dU = -W
W = (p_1 V_1 - p_2 V_2) / (y - 1)
pV^y = const.
TV^(y-1) = const.

The Attempt at a Solution


None, I have no idea how to approach this problem. Please help.
 
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  • #2
Why is pV^y = const and TV^(y-1) = const relevant? Is this a polytropic process?
 
  • #3
Also. What class is this for? Is it a physics course or a thermodynamics course? There are different approaches.
 
  • #4
This is for an introductory physics course, and the book defines four different types of processes: Isothermal, Isometric, Isobaric, and Adiabatic (no heat transfer). I think I am supposed to use one of those, and it would be adiabatic since the problem mentions it.
 
  • #5
I have managed to solve this problem. Thank you.
 

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