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Q.

Calculate the final temperature of a monoatomic gas that is compressed reversible and adiabatically from 8 litre to 1 litre at 300k

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a

1200k

b

500k

c

1000k

d

800k

answer is D.

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Detailed Solution

Adiabatic reversible: for mono atomic gas
γ=53 T⋅Vγ−1 = constant

T1⋅V1γ−1=T2⋅V2γ−1 T2T1=V1V2γ−1

 T2=300×8153-1=300×(8)2/3=1200k

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Calculate the final temperature of a monoatomic gas that is compressed reversible and adiabatically from 8 litre to 1 litre at 300k