A 50-L electrical radiator containing heating oil is placed in a 50-m³ room. Both the room and the oil in the radiator are initially at 5°C. The radiator with a rating of 3 kW is now turned on. At the same time, heat is lost from the room at an average rate of 0.3 kJ/s. After some time, the average temperature is measured to be 20°C for the air in the room, and 60°C for the oil in the radiator. Taking the density and the specific heat of the oil to be 950kg/m³ and 2.2kJ/(kg °C), respectively, determine how long the heater is kept on. Assume the room is well-sealed so that there are no air leaks.
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- A reversible power cycle operating as in the figure receives energy QH by heat transfer from a hot reservoir at TH and rejects energy Qc-16 Btu by heat transfer to a cold reservoir at Te -40°F. The work for the cycle Wcycle - 30 Btu. Determine the thermal efficiency and TH, in °F. Hot reservoir Cold reservoir M OH Wis1) A cylinder of volume 50cm made of Pyrex glass is full to the brim with acetone. Suppose the cylinder and acetone are warmed by 30°C. (Coefficient of linear expansion of glass, 3.2 x 10-6K-1 and acetone, 5.0 x 10-5K-1) i. Calculate the change in volume of the glass. ii. Calculate the change in volume of the acetone. ii. Will any acetone spill out of the cylinder? Explain.Calculate the decrease in heat loss in kilowatt-hours per day when a 1.2 m x 2.1 m uncoated single-pane window is replaced with a double-glazed window with a low-e coating and argon fill (a relatively common configuration for current win- dows). The inside temperature is a constant 20°C, and the outside temperature is a constant -5°C.
- An oil of viscosity 5 poise is used for lubrication between a shaft and sleeve. The diameter of the shaft is 0.5 m and it rotates at 200 r.p.m. Calculate the power lost in oil for a sleeve length of 100 mm. The thickness of oil is 1 mm.A 1.5-ft³rigid tank contains saturated refrigerant-134 at 170 psia. Initially, 20 percent of the volume is occupied by liquid and the rest by vapor. A valve at the top of the tank is now opened, and vapor is allowed to escape slowly from the tank. Heat is transferred to the refrigerant such that the pressure inside the tank remains constant. The valve is closed when the last drop of liquid in the tank is vaporized. Determine the total heat transfer for this process. R-134a, Sat. mixture P = 170 psia V = 1.5 ft³A spring-loaded piston-cylinder device contains 1.5 kg of carbon dioxide. This system is heated from 200 kPa and 25 °C to 1200 kPa and 300°C. Determine the total heat transfer to and work produced by this system.
- 2. Consider a "tight" 300 m3 home with o.2 ach infiltration rate. The only source of CO in the home is the gas range and the ambient concentration of CO is zero. Suppose there is no CO in the home at 6 pm, but then the oven and two burners are on for 1 hour. Assuming the air is well mixed in the house, estimate the CO concentration in the home at 7 pm and again at 10 pm.4. An ideal vapor-compression heat pump cycle with Refrigerant 134a as the working fluid provides 15 kw to maintain a building at 200°C when the outside temperature is 50°C. Saturated vapor at 2.4 bar leaves the evaporator, and saturated liquid at 8 bar leaves the condenser. Calculate (a) The power input to the compressor, in kW (b) The coefficient of performance. (c) The coefficient of performance of a reversible heat pump cycle operating between thermal reservoirs at 20 and 50°C. (h, = 244.09kJ/kg, s, = 0.9222 kl/kg – K; h2 = 268.97 kJ/ kg; h, = 93.42 kJ/ kg) %3DA mains fed 12000 litre tank supplies hot rinse water (45oC) for a food processing operation. Calculate the power of electric immersion heater(s) if the tank is fully replenished by 05:00 in the morning and the facility needs the hot water at 08:00.
- A closed tank containing hot air has an initial internal energy of 400 kJ. During the next 5 min, the tank loses heat to the surroundings at a rate of 1.5 kW, while an electrical element supplies 1000 W to the air. Find the final internal energy of the air.Assume an inside room temperature of 70°F and an attic air temperature of 15°F, with an exposed area of 885 ft2. Calculate the heat loss (in Btu/h) through the ceiling if the R-19 insulation batt is replaced by R-35 fiberglass insulation.Consider a regenerative vapor Power cycle with one Feed water Heater the upper and lower limits of cycle 3.45 Mpa and 14 kpa respectively. Steam enters the high Pressure Turbine at 371c and leaves at 690Kpa , At which point Some of the steam is extracted and rejected to an open feed Water heater the remaining steam is expanded in the low Pressure turbine to 14 KPa Determine the Thermal efficiency if the isentropic efficiency of pump and turbine is 100%.