A mono atomic ideal gas initially at 17oC is suddenly compressed to one-eighth of its original volume. The temperature after compression is
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a
16oc
b
17oc
c
887oc
d
none
answer is C.
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Detailed Solution
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