Steam at 10 bar flows into a barrel containing \(150 \mathrm{~kg}\) of water at \(10^{\circ} \mathrm{C}\). The final temperature of water is \(25^{\circ} \mathrm{C}\) and the increase in mass is \(4 \mathrm{~kg}\). Calculate the dryness fraction of steam. Take \(c_{p w}=4.187 \mathrm{~kJ} / \mathrm{kg} . K\)