Steam at a pressure of 6 bar passes into a tank containing water where it gets condensed. The mass and temperature in the tank before the admission of steam are \(60 \mathrm{~kg}\) and \(20^{\circ} \mathrm{C}\) respectively. Calculate the dryness fraction of steam as it enters the tank if \(4 \mathrm{~kg}\) of steam gets condensed and resulting temperature of the mixture becomes \(45^{\circ} \mathrm{C}\). Take water equivalent of tank as \(2 \mathrm{~kg}\).