A sample containing 1.0 mole of an ideal gas is expanded isothermally and reversibly to ten times of its original volume, in two separate experiments. The expansion is carried out at 300 K and at 600 K respectively. Choose the correct option.

Options

A. Work done at 600 K is 20 times the work done at 300 K
B. Work done at 300 K is twice the work done at 600 K
C. Work done at 600 K is twice the work done at 300K
D. `Delta E =0` in both cases

Explanation

`(W _( 600 K))/( W _(300K )) = ( 1 xx R xx 600 K ln "" (10)/( 1))/( 1 xx R xx 300 K ln "" (10)/(1)) = ( 600)/( 300) = 2,` For isothermal expansion of ideal gases, `Delta E =0`
Since temperature is constant this means there is no change in internal energy. Therefore, `Delta E =0`