In a power plant, a nozzle is used to boost the velocity of steam before it enters a turbine. The steam enters at a pressure of 1 MPa at a temperature of 500 K, and it exits at 350C and 2 MPa. How much heat is transmitted during the procedure if the nozzle has a 3 cm intake diameter and a 1 cm output diameter? Is it gained or lost? Assume a 0.7 kg/s mass flowrate.