A gaseous system is initially characterised by 500 mL volume and 1 atm pressure at 298 K . This syst

Question

A gaseous system is initially characterised by 500 mL volume and 1 atm pressure at 298 K . This system is allowed to do work as follows :\ i) in isobaric conditions, it expands to 800 mL resulting a decrease in pressure and temperature to 0.6 atm and 273 K respectively.\ ii) in adiabatic conditions, it is allowed to expand upto 800 mL and results a decrease in pressure and temperature to 0.6 atm and 273 K respectively.\ If Gibbs energy change in (i) is $\Delta G_{a}$ and in (ii) is $\Delta G_{b}$, then what will be the ratio of $\frac{\Delta G_{a}}{\Delta G_{b}}$ ?\

Professor PC Thomas Classes · Answer

(b) : $\frac{\Delta G_a}{\Delta G_b}=1$ as Gibbs energy is a state function and initial and final states are same in (i) and (ii).