The ventilating fan of the bathroom of a building has a volume flow rate of 30 L/s and runs continuously. The building is located in San Francisco, California, where the average winter temperature is 12.2 °C, and is maintained at 22°C at all times. The building is heated by electricity whose unit cost is $0.09/kWh. Determine the amount and cost of the heat "vented out" per month in winter. (The gas constant and specific heat of air are R = 0.287 kJ/kg-K and Cp=1.0 kJ/kg-K. Consider air at P = 1 atm. and T=22 °C) 12.2°C
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- Problem 7: Suppose a table tennis ball has a diameter of 3.95 cm. Calculate the depth, in kilometers, to which Avogadro’s number of table tennis balls would cover the Earth. Assume the space between balls adds an extra 25.0% to their volume and assume they are not crushed by their own weight. The radius of Earth is 6.376 × 106 m.Two evacuated bulbs are connected by a tube of negligible volume. The volume of one of the bulbs is twice that of the other. The larger volume bulb is placed in a 200K Isother constant-temperature bath and the other in a 300K bath, and then 1.00mol of an ideal me gas is injected into the system. Find the final number of moles of gas in each bulb.A closed system consisting of 2 lb of a gas undergoes a process during which the relation between pressure and volume is pV" = constant. The process begins with p₁ = 25 lbf/in², V₁ = 13 ft³ and ends with p2 = 100 lbf/in². The value of n = 1.3. Determine the final volume, V₂, in ft3, and determine the specific volume at states 1 and 2, in ft³/lb.
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- Answers (~1.9kJ, ~1.1kJ, ~4kJ) The figure to the right shows a gas contained in a vertical piston-cylinder assembly. A vertical shaft with a cross- sectional area of 1.0 cm² is attached to the top of the piston. The total mass of the piston and shaft is 35 kg. While the gas is slowly heated, the internal energy of the gas increases by 0.25 kJ, the potential energy of the piston-shaft combination increases by 0.5 kJ, and a force of 1300 N is exerted on the shaft as shown in the figure. The piston and cylinder are both good insulators and friction between them is negligible. The local atmospheric pressure is 1 bar and g = 9.81 m/s². Determine: 21 F-1300N (c) the heat transfer to the gas (kJ) (d) Provide a detailed accounting of where all of the heat energy has gone. C 19 4 A-14cm (a) the work done by the shaft (kJ) (b) the work done in displacing the atmosphere (kJ) (atmosphere does not act on shaft aka a donut area) D²10.0A turbojet is flying with a velocity of 900 ft/s at an altitude of 20,000 ft, where the ambient conditions are 7 psia and 10°F. The pressure ratio across the compressor is 13, and the temperature at the turbine inlet is 2400 R. Assuming ideal operation for all components and constant specific heats for air at room temperature, determine the pressure at the turbine exit.