Superheated steam enters a horizontal nozzle that has an inlet diameter that measures 2.5cm and an outlet diameter that measures 1cm. Its outlet velocity has been measured at 30m/s. The steam that enters the nozzle is at 650C and 1350kPa and the steam that exits the nozzle is at 400C and 100kPa. a. Determine the velocity of the steam upon entering the nozzle. Hint: the mass flow rate into and out of the nozzle will be the same - it is at steady state. This part of the problem is to have you calculate velocity from mass flow rate (like a problem from the last homework assignment). b. Your reduced 1st Law expression (from question 1) is the typical expression in these type of problems. However, despite how much you might insulate the nozzle, you will still have some heat losses. To that end, please calculate the rate of heat loss through the nozzle. Note: you have enough information to calculate the kinetic energy changes (from the problem statement and your work in part a), so please include those as well