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Q.

A monoatomic ideal gas is filled in a nonconducting container. The gas can be compressed by a movable nonconducting piston. The gas is compressed slowly to 12.5% of its initial volume. Find final temperature of the gas if it is T0 initially-

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a

4T0

b

3T0

c

2/3 T0

d

T0

answer is A.

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Detailed Solution

Let initial temperature and volume be T0 and V0 . ​ Since the process is adiabatic, the first temperature and  volume is TVγ−1=T0 V0γ−1(γ=5/3 for monoatomic gas) ​​∴T=T0V0 V0/82/3=4 T0
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