Chemistry - Thermodynamics - I Question with Solution | TestHub

2 moles of an ideal gas $A$ is taken in an adiabatic container fitted with a movable frictionless adiabatic piston always operating at 1 atm . The gas $A$ gets converted to gas $B$ as per the reaction:

$3A(g)⟶2B(g),\Delta H=-30\mathrm{kJ}/$ mole

If $75\%$ of $A$ associates under the given conditions and initial temperature of the vessel was 300 K , then calculate the final temperature of the vessel. Report the answer by dividing it by 75 .

[Given: $C_{\mathrm{P},\mathrm{A}(g)}=20\mathrm{J}/\mathrm{K}$ mole, $C_{\mathrm{P},\mathrm{B}(g)}=30\mathrm{J}/\mathrm{K}$ mole]