One mole of an ideal gas expands isothermally and reversibles from 5 atmospheres to 1 atmosphere at `50^(@)C`. Calculate the work done.

Explanation

`T = 50^(@)C = 50 + 273 = 323 K, P_(1) = 5` atm, `P_(2) = 1` atm
`R = 8.314 J//K//mol , n = 1` mole
`w = -2.303 nRT log ((P_(1))/(P_(2))) = -2.303 xx 1 xx 8.314 xx 323 xx log((5)/(1))`
`= -2.303 xx 1 xx 8.314 xx 323 xx 0.6990`
`= -4,322.98 "joule" = -4.323 kJ`