Question

$10$ moles of an ideal gas confined to a volume of $10L$ is released into atmosphere at $300K$ where the pressure is $1bar$. The work done by the gas is:$(R=0.083Lbar{K}^{-1}mo{l}^{-1})$

• A. $249L.bar$
• B. $259L.bar$
• C. $239L.bar$
• D. $220L.bar$

Answer 1

The correct option is C $239L.bar$

$n=10$ moles

$V_f=\frac{nRT}{P}$

$=\frac{10\times 0.083\times 300}{1}$

$=249L$

Work done by gas, $W=-P_{ext}\Delta V=-1\times (249-10)=-239L.bar$