Heat And Thermodynamics

\(1 \mathrm{~kg}\) of water at \(100^{\circ} \mathrm{C}\) is converted into steam at \(100^{\circ} \mathrm{C}\) by boiling at atmospheric pressure. The volume of water changes from \(1.00 \times 10^{-3} \mathrm{~m}^{3}\) as a liquid to \(1.671 \mathrm{~m}^{3}\) as steam. The change in internal energy of the system during the process will be

(Given latent heat of vaporisaiton \(=2257 \mathrm{~kJ} / \mathrm{kg}\), Atmospheric pressure = \(\left.1 \times 10^{5} \mathrm{~Pa}\right)\)