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Question

The temperature of the system decreases in an:

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

The correct option is D Adiabatic expansion
Work done in an adiabatic process is given as:
w=U
w=PV=nCvT
In adiabatic explansion work is done by the system so w=ve as per sign convention. So,
nCvT=ive
means T=ive
so,
final tempearture (T2) is less than initial temperature (T1).
hence, temperature decreases.
In adiabatic compression T increases and in isothermal processes, T remains same.

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