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Question

An ideal monatomic gas at 300K expands adiabatically to 8 times its volume. What is the final temperature?

A
75 K
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B
300 K
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C
560K
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D
340K K
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Solution

The correct option is D 75 K
Solution:- (A) 75K
For an adiabatic process,
TVγ1=constant
T2T1=(V1V2)γ1
Given:-
T1=300K
T2=T(say)=?
V1=V
V2=8V
γ=53(the gas is monoatomic)
T300=(V8V)531
T300=(18)23
T=3004=75K
Hence the final temperature will be 75K.

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