Two moles of an ideal gas initially at 27°C and one atm pressure are compressed isothermally and reversible till the final pressure of the gas is 10 atm. Calculate q, w, and AU for the process.
Here n = 2; p1 = 1 atm; P2 = 10 atm; T = 300 K w = 2.303 nRT log P2P1 = 2.303 × 2 × 8.314 JK mol-1 × 300 K × log 101 = 11488 J . For isothermal compression of ideal gas ΔU = 0 Further, ΔU = q + w ∴ q = -w = 11488 J.
