Consider the reversible isothermal expansion of an ideal gas in a closed system at two different temperatures T1 and T2 (T1

Question

Consider the reversible isothermal expansion of an ideal gas in a closed system at two different temperatures T1 and T2 (T1 < T2). The correct graphical depiction of the dependence of work done (w) on the final volume (V) is: (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

w =-nRT In (V2/V1) w = -nRT ln (Vb/Vi) |w| =nRT ln (Vb/Vi) |w| = nRT (lnVb - lnVi ) |w| =nRT ln Vb -nRT ln Vi Y = m x - C So, slope of curve 2 is more than curve 1 and intercept of curve 2 is more negative then curve 1.

Q. Consider the reversible isothermal expansion of an ideal gas in a closed system at two different temperatures T1​ and T2​(T1​<T2​). The correct graphical depiction of the dependence of work done (w) on the final volume (V) is:

w=−nRTInV1​V2​​ w=−nRTlnVi​Vb​​ ∣w∣=nRTlnVi​Vb​​ ∣w∣=nRT(lnVb​−lnVi​)∣w∣=nRTlnVb​−nRTlnVi​ Y=mx−C So, slope of curve 2 is more than curve 1 and intercept of curve 2 is more negative then curve 1.

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