An ideal gas at 27^ C is compressed adiabatically to (8/27) of its original volume. If ratio of specific heats, =5 / 3 then the rise in temperature of the gas is

Step-by-step solution

For an adiabatic process TV ^ -1 = constant aligned & T ₂ ~T ₁ = ( V ₁ ~V ₂ )^ -1 = ( 27 8 )^ 5 3 -1 = ( 27 8 )^ 2 3 = 9 4 & T ₂= 9 4 T ₁= 9 4 300=675 ~K & T ₂- T ₁=675-300=375 ~K aligned