In a separating and throttling calorimeter the total quantity of steam passed was \(40 \mathrm{~kg}\) and \(2.2 \mathrm{~kg}\) of water was collected from the separator. Steam pressure before throttling was 1.47 \(\mathrm{MPa}\) and temperature and pressure after throttling were \(120^{\circ} \mathrm{C}\) and \(107.88 \mathrm{kPa}\). Determine the dryness fraction of steam before entering the calorimeter. Take specific heat of superheated steam as \(2.09 \mathrm{~kJ} / \mathrm{kg} . \mathrm{K}\).