' V ' cc volume of a gas having Y = 5 2 is suddenly compressed to ( V 4 ) c.c. The initial pressure of the gas is P. The final pressure of the gas will be

Step-by-step solution

Here, V ₁= V cc, V ₂= v 4 cc , Y = 5 2 , P ₁= P for adiabatic change, aligned & P ₂ ~V ₂= P ₁ ~V ₁^ Y & P ₁= P V ( V 4 ) ^Y & P ₂= P (4)^ 5 / 2 = P (2^5 )=32 P aligned