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Homework Statement
Perfect gas in an enclosed cylinder, the thermal capcity of the components in the cylinder and piston are small and they are perfect thermal insulators. The piston is pushed in slowly and allowed to return to its original position slowly.
How does the Temperature vary with the displacement of the piston?
Homework Equations
PV=nRT
P=(Nmv^2)/(3*V)
The Attempt at a Solution
Subbing the second equation into the first It would seem that the Temperature varies with the velocity, as would be expected. But I seem to conclude that velocity would remain constant and there would therefore be no change in temperature, which can't be right...
Though the particles are colliding more frequently, where does a change in velocity come into play, as the particles can't gain any energy can they?
Thanks