An ideal gas at pressure ' p ' is adiabatically compressed so that its density becomes twice that of the initial. If = c_p c_v = 7 5 , then final pressure of the gas is

Step-by-step solution

Since density become twice, its volume will become half. V ₁ ~V ₂ =2 For adiabatic process we have aligned & P ₁ ~V ₁^ = P ₂ ~V ₂^ & P ₂ P ₁ = ( V ₁ ~V ₂ )^ =(2)^ 7 / 5 =(2)^ 1.4 =2.63 aligned