Exhaust steam at \(100 \mathrm{kPa}\) and \(200^{\circ} \mathrm{C}\) enters the subsonic diffuser of a jet engine steadily with a velocity of \(190 \mathrm{~m} / \mathrm{s}\). The inlet area of the diffuser is \(2000 \mathrm{~cm}^{2}\). The steam leaves the diffuser with a velocity of \(70 \mathrm{~m} / \mathrm{s}\). The pressure increases to \(200 \mathrm{kPa}\). The heat losses from the diffuser to the surroundings is estimated to be \(100 \mathrm{~kW}\). Determine

(a) The mass flow rate of the steam

(b) The temperature of the steam leaving the diffuser

(c) The area of the diffuser outlet given that \(V_{1}=2.172 \mathrm{~m}^{3} / \mathrm{kg}\) and \(H_{1}=2875.3 \mathrm{~kJ} / \mathrm{kg}\).