An ideal gas is expanded from ( 1 L , 10 atm ) to ( 4 L , 5 atm ) against a constant external pressure of 1 atm . If initial temperature of the gas was 300 K and heat capacity of the process is 50 J /

Question

An ideal gas is expanded from ( 1 L , 10 atm ) to ( 4 L , 5 atm ) against a constant external pressure of 1 atm . If initial temperature of the gas was 300 K and heat capacity of the process is 50 J / K . what is the enthalpy change in the process? (1 litre-atm = 100 J )

TestHub · Accepted Answer

w = − 1 a t m ( 4 − 1 ) = − 3 L − a t m = − 300 J o u l e q T 2 ​ q Δ H ​ = C Δ T = P 1 ​ V 1 ​ P 2 ​ V 2 ​ ​ ⋅ T 1 ​ = 2 T 1 ​ = 600 K = 50 × 300 = + 15000 J = ( q + w ) + ( P 2 ​ V 2 ​ − P 1 ​ V 1 ​ ) = + 15000 − 300 + ( 20 − 10 ) × 100 = 16000 − 300 = 15700 J o u l e ​

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