Two rigid adiabatic vessels A and B which initially, contain two gases at different temperatures are connected by pipe line with valve of negligible volume. The vessel A contain 2 moles Ne gas $\left(C_{\mathrm{p}.\mathrm{m}.}=\frac{5}{2}R\right)$ at $300\mathrm{K},$, vessel B contain 3 moles of ${\mathrm{SO}}_2$ gas $\left({\mathrm{C}}_{\text{p.m. }}=4R\right)$ at $400\mathrm{K}\text{. }$The volume of A and B vessel is 4 and 6 litre respectively.
The final total pressure (in atm) when valve is opened and $12\mathrm{kcal}$ heat supplied through it to vessels.
[Use : $=2\mathrm{cal}/\mathrm{molK}$ and $=0.08 \mathrm{L}.$. atm $\mathrm{mol} \mathrm{K}$ as per desire].