Two streams of steam, one at \(2 \mathrm{MPa}, 300^{\circ} \mathrm{C}\) and the other at \(2 \mathrm{MPa}, 400^{\circ} \mathrm{C}\), mix in a steady flow adiabatic process. The rates of flow of the two streams are \(3 \mathrm{~kg} / \mathrm{min}\) and \(2 \mathrm{~kg} / \mathrm{min}\) respectively. Find the final temperature of the emerging stream, if there is no pressure drop due to the mixing process.