Combined separating and throttling calorimeter is used to find out dryness fraction of steam, following readings were taken:

Main pressure \(=12\) bar abs.

Mass of water collected in separating calorimeter \(=2 \mathrm{~kg}\).

Mass of steam condensed in throttling calorimeter \(=20 \mathrm{~kg}\)

Temperature of steam after throttling calorimeter \(=110^{\circ} \mathrm{C}\)

Pressure of steam after Throttling \(=1\) bar abs.

Assume Cp of steam \(=2.1 \mathrm{~kJ} / \mathrm{kg} \mathrm{K}\).

Calculate dryness fraction.