20.0 dm 3 of an ideal gas 'X' at 600 K and 0.5 MPa undergoes isothermal reversible expansion until pressure of the gas is 0.2 MPa. Which of the following option is correct ? (Given: log 2 = 0.3010 and

Question

20.0 dm 3 of an ideal gas 'X' at 600 K and 0.5 MPa undergoes isothermal reversible expansion until pressure of the gas is 0.2 MPa. Which of the following option is correct ? (Given: log 2 = 0.3010 and log 5 = 0.6989)

(A) w = – 9.1 kJ, U = 0, H = 0, q = 9.1 kJ
(B) w = 9.1 J, U = 9.1 J, H = 0; q = 0
(C) w = + 4.1 kJ, U = 0, H = 0; q = – 4.1 kJ
(D) w = – 3.9 kJ, U = 0, H = 0; q = 3.9 kJ

Prashant Kotian · Accepted Answer

Correct answer: A. For isothermal reversible process U = H = 0 iso 1 P w p v ln P  3 iso 0.5 w 0.5 10 20 10 ln 0.2              3 iso w 0.5 10 20 10 2.303 (.6989 .3010) w –9.1 kJ q = –w = 9.1 kJ

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