Question

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 ${425}^0$C is:

Answer 1

Temperature $={425}^{\circ }=698.15K$

Final volume $V_2=20L$

initial volume $V_1=10L$

$w=-nRT\ln \left(\frac{v_2}{v_1}\right)$

$=-1\times 8.314\times 698.15\times 2.303\times {10}^7\times \log 2$

$=-4010\times {10}^{7}ergs$