Question

The correct graphical depiction of the dependence of work done $\left(w\right)$ on the final volume $\left(V\right)$ in a closed system, with reversible isothermal expansion of an ideal gas at two different temperatures $T_1$ and $T_2(T_1<T_2)$

• A.
• B.
• C.
• D.

Answer 1

Answer: (D)

$w=-nRTln\left(\frac{v_2}{v_1}\right)$
$w=-nRTln\left(\frac{v_f}{v_i}\right)$
$\left|w\right|=nRTln\frac{v_b}{v_i}$
$\left|w\right|=nRT\left(ln{v}_f-ln{v}_i\right)$
$\left|w\right|=nRTln{v}_f-nRTln{v}_i$
$y=mx-c$
So for $\left(T_2>T_1\right)$ Intercept of $T_2$ would be more negative than $T_1$ and slope of curve $T_2$ would be more than slope of curve $\left(T_1\right)$ .