In a separating and throttling calorimeter, the steam main pressure is 8 bar absolute and the temperature after throttling is \(130^{\circ} \mathrm{C}\). The pressure in the throttling calorimeter is 0.01 bar gauge, the barometer reading being \(75 \mathrm{~cm} .0 .15 \mathrm{~kg}\) of water is trapped in the separator and \(1.8 \mathrm{~kg}\) of steam passed through the throttling calorimeter. Determine the dryness fraction of steam in the steam main.