Ideal gas mole expand isothermally reversibly 2 lt. to 4lt and same gas 3 mole expand from 2 lt. to x lt and doing same work, what is 'x'

Options

A. `(8)^(1/3)`
B. `(4)^(2/3)`
C. 2
D. 4 lt

Answer

B

Explanation

`w=nRTln ""(V_(2))/(V_(1))`
RT ln `(4)/(2)=3RTln ""(x)/(2)`
`ln 2 ln((x)/(2))^(3)`
`x^(3)=`
`x()^(1/3)=4^(2/3)`