Question

$6$ moles of an ideal gas expand isothermally and reversible from a volume of $1{dm}^3$ to a volume of $10{dm}^3$ at ${27}^{o}C$. What is the maximum work done? Express your answer in joule.

• A. $-34464.8J$
• B. $34464.8J$
• C. $-364.8J$
• D. $-3464.8J$

Answer 1

The correct option is A $-34464.8J$

In isothermal condition we have,

$workdone=-2.303\ast n\ast R\ast T\ast log\frac{V_2}{V_1}$

on putting values we have,

$workdone=-2.303\ast 6\ast 8.314\ast 300\ast log\frac{10}{1}$

workdone = $-34464.8J$