In ideal gas of 27^ C is compressed adiabatically to (8 / 27) of its original volume. If = 5 3 , the rise in temperature of a gas is

Step-by-step solution

aligned T ₂ ~T ₁ & = ( V ₁ ~V ₂ )^ -1 & = ( 27 8 )^ 5 3 -1 ( given, V ₂= 8 27 ~V ₁ ) & = ( 27 8 )^ 2 3 = 9 4 ~T ₂ & = 9 4 T ₁= 9 4 (27+273)=675 ~K ~T ₂ & - T ₁=675-(27+273)=375 ~K aligned