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A mono atomic ideal gas initially at $17^{o} C$ is suddenly compressed to one-eighth of its original volume. The temperature after compression is

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detailed solution

Correct option is C

sudden process is adiabatic process In adiabatic process relation between temperature T, Volume V is TVγ-1=constant here specific heat ratio is γ=5/3 for monoatomic gas,T1=17°C=17+273=290K∵C=K-273 ⇒T1V1γ-1=T2V2γ-1 ⇒T1T2=V2V1γ-1 ⇒290T2=1853-1 ⇒290T2=1823 ⇒290T2=122 ⇒T2=1160 K⇒T2=1160-273=887°C ⇒T2=887oc

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