A gas is adiabatically compressed till its pressure becomes 64 times to its initial pressure. What is the final temperature if initial temperature is  270C  and γ  is 3/2,

adiabatic relation of pressure and temperature is P1−γTγ=constant; if initial pressure is P1;final pressure P2=64P1;initial temperature T1=27+273=300K;final temperature=T2=?specific heat ratio=32P1−γTγ=constantTγ=constantP1−γT=constantP1−γ1 γ=constantP1−γγ=constantP γ-1 γ γ-1 γ=32-132=3-2232=13----(1)T2T1=P2P1  γ-1 γ T2300=64P1P1  γ-1 γT2=3004313    from(1)T2=300×4=1200K