In a separating and throttling calorimeter for determining the dryness fraction, steam is throttled from \(1.5 \mathrm{MPa}\) to \(0.15 \mathrm{MPa}\). The temperature of steam after throttling is \(150^{\circ} \mathrm{C}\). The discharge from the separator, which is placed ahead of the throttling device, is \(0.2 \mathrm{~kg} /\) minute of water, while the discharge from the calorimeter is \(12 \mathrm{~kg} /\) minute. Determine the dryness fraction of the steam entering the separator.