Two moles of an ideal monoatomic gas at 5 bar and 300 K are expanded irreversibly up to an external pressure of 1 bar. The work is done by the gas is x R (in bar.Litre). The value of ' x 'is [ R is gas constant]

Step-by-step solution

Given: p f i n a l = p e x t so p 1 = 5 , p 2 = 1 and p e x t = 1 , T 1 = 300 , T 2 = ? for the calculation of T 2 n C v T 2 - T 1 = - p e x t V 2 - V 1 = - p e x t n R T 2 P 2 - n R T 1 P 1 n C v T 2 - T 1 = - p e x t n R T 2 P 2 - n R T 1 P 1 n C v T 2 - T 1 = - p e x t n R T 2 P 2 - n R T 1 P 1 C v T 2 - T 1 = p e x t R T 2 P 2 - R T 1 P 1 3 R 2 ( T 2 ⁡ - 300 ) = - 1 R × T 2 1 - R × 300 5 T 2   =   204   K W i r r , a d i a = - 1 2 × R × 204 1 - 2 × R × 300 5