Question

Find the work done when $1$ mole of the gas is expanded reversibly and isothermally from $5atm$ to $1atm$ at ${25}^{o}C$.

Answer 1

According to the problem:

Let us consider the

$W=-nRTIn\left(\frac{P_1}{P_2}\right)$

Given that:

$n=1$

$R=8.314$

$T=298K$

$P_1=25$

$P_2=5$

Putting these value in above equation,

$=-1\times 8.314\times 298\times In\left(5\right)$

Implies that

$=3964.1152J$