Question

Work done during isothermal expansion of one mole of an ideal gas from $10atm$ to $1atm$ at $300K$ is

• A. $4938.8J$
• B. $4138.8J$
• C. $5744.1J$
• D. $6257.2J$

Answer 1

The correct option is C $5744.1J$

Work done during isothermal expansion-

Given,

$n=1$

$T=300k$

$p_1=10atm$

$p_2=1atm$

$W=2.303nRT\log \frac{p_1}{p_2}$

$\Rightarrow 2.303\times 1\times 8.314\times 300\times \log 10=5744.1J$