team enters a turbine operating at steady state at 2 MPa, 360°C with  a  velocity  of  100  m/s.  Saturated  vapor  exits  at  0.1  MPa  and  a  velocity  of  50  m/s.  The  elevation  of  the  inlet  is  3  m  higher  than  at  the  exit.  The  mass  flow  rate  of  the  steam  is  15  kg/s,  and  the  power  developed is 7 MW. Let g= 9.81 m/s2. Determine (a) the area at the inlet, in m2, and (b) the rate of heat transfer between the turbine and its surroundings, in kW