The work done in ergs for the reversible expansion of one mole of an ideal gas from a volume of `10` litres to `20` litres at `25^(@)C` is

Options

A. `-2.303 xx 298 xx 0.082 log 2`
B. `-298 xx 10^5 xx 831 xx 2.303 log 2`
C. `2.303 xx 298 xx 0.082 log 0.5`
D. `2.303 xx 298 xx 2 log 2 `

Answer

B

Explanation

`W_("max") =- 2.3nRT " log "(3V _2//V_1)`
`=- 2.303 xx 1xx 8.31 xx 10^7 xx 298 " log" 20/10`
`=- 298 xx 10^5 xx 831 xx 2.303 "log" 2 .`