HW$-4($iii$)$

A partition separates an ideal gas $(PV=mRT)$ into two chambers A and $B$ inside a rigid and insulated tank.

Total mass of the gas in the two chambers $1\mathrm{.}5kg.$ At the initial state, specific volume of the gas in the two

chambers is: $v_{A1}=0\mathrm{.}5\frac{m^3}{k}g$ and $v_{B1}=1\mathrm{.}0\frac{m^3}{k}g.$ The partition moves during a process such that at the final

state: $P_{A2}=P_{B2},V_{A2}=V_{B2},$ and $T_{A2}=T_{B2}.$

Determine volume of the gas in each chamber at the initial state, in $m^3.$