A spherical vessel of \(1 \mathrm{~m}^{3}\) capacity contains steam at 10 bar and 0.95 dry. Steam is blown off until the pressure drops to 5 bar. The valve is then closed and the steam is allowed to cool until the pressure falls to 2.5 bar. Assuming that the enthalpy of steam in the vessel remains constant during blowing off period, Calculate

(a) the mass of steam blown off,

(b) the dryness fraction of steam in the vessel after cooling, and

(c) the heat lost by steam per \(\mathrm{kg}\) during cooling.