A rigid vessel is initially divided into two parts \(A\) and \(B\) by a thin partition. Part \(A\) contains \(1 \mathrm{~kg}\) of steam at 4 bar, dry and saturated, and part \(B 2 \mathrm{~kg}\) of steam at 8 bar with dryness fraction of 0.90. The partition is removed and the pressure in the vessel after sometimes is found to be 6 bar. Find

(a) the volume of the vessel and the state of steam, and

(b) the amount of heat transfer from steam to the vessel and the surroundings.