1. Two streams of the same ideal gas having different mass flow rates and temperatures are mixed in a steady-flow, adiabatic mixing device. Assuming constant specific heats, find the simplest expression for the mixture temperature written in the form: T3 = f[(m1/m3), (m2/m3) ,T1, T2 )
2. The ventilating fan of the bathroom of a building has a volumetric flow rate of 30 Us and runs continuously. The building is located in San Francisco, CA, where the average winter temperature is 12.2°C at all times. The building is heated by electricity whose unit cost is $0.12/kWh. Determine the amount and cost of the heat "vented out" per month in winter.
3. Saturated Steam is to be condensed on the shell side of a heat exchanger at 75°F. Cooling water enters the tubes at 50°F at a rate of 45 !bids and leaves at 65°F. Assuming the heat exchanger to be well-insulated, determine the rate of heat transfer in the heat exchanger and the rate of condensation of the steam.
4. Your company is considering the installation of a steam turbine to generate power for a part of the plant where you work. Being the lead process engineer for this section of the plant you are involved in the decision making process. The peak desired power rating for this turbine would be 1.0 MW. House steam is available to drive the turbine with a pressure of 4 MPa, a temperature of 500°C, and a maximum supply rate of 1.2 kg/s. The plant requires that the return steam be no less than 200 kPa with a minimum quality of 0.95 at the outlet of the turbine. The inlet and outlet areas of the turbine currently being considered arc both 0.010 m2. Based on these requirements, i.e., without considering cost, would you recommend this turbine for the proposed upgrade?