The work done in ergs for a reversible expansion of n mole of an ideal gas from a volume of 20 litres to 40 litres at `25 ^@` C is a

Options

A. `-2.303 xx 8.314 xx 298 xx log_(10) 2 xx n`
B. `-2.303 xx 0.0821 xx 298 log_(10) 2 xx n `
C. `-2.303 xx 0.0821 xx 298 log_(10) 0.5 xx n`
D. `-2.303 xx 8.314xx 10^7 xx 298 log_(10) 2 xx n `

Answer

D

Explanation

`W_("max") =- 2.300 `nRT `log_10 = (V_2)/(V_1)`
`=- 2.303 n xx 8.314(298)` log `(40)/(20) jmol^(-1)`
Since , 1 joule ` =10^7` ergs
W max `=- 2.303 xx 8.314 xx 10^(-7) xx 298 xx log_10 xx 2 xx n `