Question

Carbon monoxide is allowed to expand isothermally and reversibly from $10m^3$ to $20$ $m^3$ at $300$K and work obtained is $4.754$ KJ. Calculate the number of moles of carbon monoxide.

Answer 1

Let us consider the problem:

$w=-2.303nRT/n\left(\frac{v_2}{v_1}\right)$

Given that:

$w=-4754$

$R=8.314$

$T=300k$

$v_2=20$

$v_1=10$

$n=?$

putting all values in equation 1st we have

$-4754=-2303\times n\times 8.314\times 300\times \left(\frac{20}{10}\right)$

Therefore, on solving

$n=2.75mol$

hence the number of moles of car bum Monterrey is $2.75mole$