A group of 50 persons attend a secret meeting in a room which is 12 m wide by 10 m long and a ceiling height of 3 m. The room is completely sealed off and insulated. Each person gives off 150 kCal per hour of heat and occupies a volume of 0.20 m³. The room has an initial pressure of 101.3 kPa and temperature of 16°C. Calculate the room temperature after 10 minutes. Use R=0.287 kJ/kg-K and Cᵥ=0.171 kCal/kg-K. (4 decimal places)

A heating system that uses heated water has a total heating load of 587 thousand btuh. How much heated water flow in gallons per minute (GPM) is required to satisfy the total load if the system is designed for 34 °F temperature change?

Water enclosed in a rigid tank is heated from 120°C to 250°C. The pressure is high enough that the water remains subcooled (compressed) liquid during the process. Determine the thermal energy needed for the process (in kJ) if the mass of water is 8 kg. You can use water property tables or the incompressible substance assumption.

In a turbine 1,308 kW is produced by expanding an exhaust gas entering at 2.2 MPa and 662 K to a final pressure of 154 kPa. The inlet area of the turbine is The inlet area of the device is 0.2 m2 and the gas velocity at inlet is 25 m/s and at outlet is 51 m/s. Determine the specific volume at outlet in m3/kg to 2 decimal places.  Assume the gas constant to be 0.26 (kPa m3)/(kg K) and constant specific heats cp=1.01 kJ/(kg K) and cv=0.75 kJ/(kg K).