Calculate the gain in entropy when \(1 \mathrm{~kg}\) of water at \(30^{\circ} \mathrm{C}\) is converted into steam at \(150{ }^{\circ} \mathrm{C}\) and then superheated to \(300^{\circ} \mathrm{C}\), with the process taking place at constant pressure.

Take \(c_{p}(\) water \()=4.2 \mathrm{~kJ} / \mathrm{kg} \mathrm{K}, \quad c_{p}(\) steam \()=2.1 \mathrm{~kJ} / \mathrm{kg} \mathrm{K}, \quad h_{\mathrm{fg}}=2600-1.5 t\), where \(t=\) temperature in \({ }^{\circ} \mathrm{C}\).

\([7.6533 \mathrm{~kJ} / \mathrm{kgK}]\)