Determine dryness fraction of steam supplied to a separating and throttling calorimeter.

Water separated in separating calorimeter \(=0.2 \mathrm{~kg}\)
Steam discharged from throttling calorimeter \(=\) \(1.8 \mathrm{~kg}\)
Steam pressure in main pipe \(=9\) bar Steam pressure after throttling = \(1 \mathrm{bar}\)
Temperature of steam after throttling \(=115^{\circ} \mathrm{C}\); \(C_{p}=2.1 \mathrm{~kJ} / \mathrm{kgK}\)