A steam turbine operates at 1.6 MPa and 350 degrees C steam at its inlet, and saturated vapor at 30 degrees C at its exit. The volume flow rate of the steam at the inlet is 2.8 m^3/s, and the turbine produces 9000 kW of power. Determine:
a. the mass flow rate of the steam, and
b. the rate of heat lost through the casing of this turbine.