Two moles of an ideal monoatomic gas occupies a volume V at 270C. The gas expands adiabatically to a volume 2V. Calculate final temperature

adiabatic relation between temperature T, volume V is TVγ-1=constantT1V1γ-1=T2V2γ-1⇒T2=T1V1V2γ-1  for monoatomic gas, γ=53       ⇒T2=(27+273kelvin)V2V53-1⇒T2=189K