A gas is suddenly expanded such that its final volume becomes 3 times its initial volume. If the specific heat at constant volume of the gas is 2 R , then the ratio of initial to final pressures is nearly equal to

Step-by-step solution

As gas is suddenly expanded so it is an adiabatic process, ie, p V^ = constant Given V₂=3 V₁, C_V=2 R array ll & C_p=2 R+R=3 R & = C_p C_V = 3 R 2 R =1.5 array p₁ p₂ = ( V₂ V₁ )^ =(3)^ 1.5 =5.1 5