Problem 2 [ [8 points], Steam flows in a steady state turbine to produce power as shown in the diagram attached below, Furthermore, please consider the following details: - Steam llowrate: m=5kg/s - Inlet and outlet stream dlameter D1=D2=12cm - Inlet stream conditions: T1=400C,P1=6000kPa(6MPa) - Outlet stream conditions: T2=200C,P2=1000kPa(1MPa) - The mean inner surface temperature of the turbine: Tin=300C - The surface area of the turbine is 3m2, and its wall thickness is 2cm. - Thermal conductivity of the turbine material: kth=15W/m.K - Convective heat transfer coefficient of air: hconv=10W/m2.K - Outside air temperature: Tair=30C - Neglect heat transfer by thermal radiation Find the following (and state all relevant assumptions): a. [3p] The rate of heat transfer (Q) in kW b. [2p] The inlet and outlet stream velocities (V1 and V2)inm/s c. [3p The power (W) in kW; and comment on its sign