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Question

Temperature of a system decreases during

A
Isothermal compression
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B
Adiabatic compression
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C
Adiabatic expansion
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D
Isothermal expansion
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Solution

The correct option is C Adiabatic expansion
In adiabatic systems, there is no heat exchanged with the system and the surrounding since q=0. Hence, ΔU=w
So the temperature would decrease if the internal energy decreases, since ΔU is directly proportional to ΔT.
this means that the gas would expand! This is a direct consequence of the fact that w=PΔV if w has to have a -ve value, then the final volume MUST be greater than the initial volume.

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