Consider the reversible isothermal expansion of an ideal gas in a closed system at two different tem

Question

Consider the reversible isothermal expansion of an ideal gas in a closed system at two different temperatures $T_{1}$ and $T_{2}\left(T_{1}<T_{2}ight)$. The correct graphical depiction of the dependence of work done ( $w$ ) on the final volume ( $V$ ) is\

Professor PC Thomas Classes · Answer

(a): $w_{	ext {rev }}=-n R T \ln \frac{V_f}{V_i} ;\left|w_{	ext {rev }}ight|=n R T \ln \frac{V_f}{V_i}$
$\left|w_{\mathrm{rev}}ight|=n R T \ln V_f-n R T \ln V_i$
Comparing it with straight line equation, $y=m x+c$
Therefore, slope of curve (a) is more than curve (d) and intercept of curve (b) is more negative than curve (d).