A gas with specific heat ratio gamma = 5/3 is compressed suddenly to 1/8 of its initial volume. If the pressure is P, then the final pressure is :

A gas with specific heat ratio gamma = 5/3 is compressed suddenly to 1

1.	A gas with specific heat ratio gamma = 5/3 is compressed suddenly to 1/8 of its initial volume. If the pressure is P, then the final pressure is :
Answer» 16 P `8 P` `32 P` `24P` SOLUTION :The GAS relation for adiabatic process, `P_1V_1^(gamma)" (or) "P_1/P_2=((V_2)/V_1)^gamma` `P_1/P_2=(1/8)^(5//3)=1/(2^(3xx5//3))=1/32` or FINAL pressure , `P_2 = 32P_1 = 32P`