Determine the cost of heating 5 gallons of water at room temperature of 18 °C to the boiling point at the energy rate of P14 per KW-HR. Assuming a heat loss of 24%.
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- A nuclear power plant operates at 75 % of its maximum theoretical (Carnot) efficiency between temperatures of 645 °C and 380 °C. 1. If the plant produces electric energy at the rate of 1.6 GW, how much exhaust heat is discharged per hour?You wish to chill 12 cans of soda at 25.0 °C down to 5.0 °C beforeserving them to guests. Each can has a mass of 0.354 kg, and thespecific heat of soda is the same as that of water. (a) How muchthermal energy must be removed in order to chill all 12 cans?(b) If the chilling process requires 4.0 h, what is the average rate(in W) at which thermal energy is removed from the soda?A solid cylindrical bar conducts heat at a rate of 25 W from a hot to a cold reservoir under steady state conditions. If both the length and the diameter of this bar are doubled, the rate at which it will conduct heat between these reservoirs will be O 12.5 W. O 200 W. O 100 W. O 25 W. O 50 W.
- A 155 g copper bowl contains 230 g of water, both at 20.0°C. A very hot 300 g copper cylinder is dropped into the water, causing the water to boil, with 4.05 g being converted to steam. The final temperature of the system is 100°C. Neglect energy transfers with the environment. (a) How much energy (in calories) is transferred to the water as heat? 8.6 X kcal (b) How much energy (in calories) is transferred to the bowl? 55 X kcal (c) What is the original temperature of the cylinder? 553.6 X °C Did you use the idea of conservation of energy? That is, did you equate the sum of the energy transfers to zero? For the bowl and cylinder, did you substitute the expression relating an energy transfer, the specific heat, the mass, and the temperature change? For the water, did you use the same expression to get the water to the boiling point? Did you also include an expression for the heat of vaporization? Did you use the given final temperature for each of the three materials?You have a spherical heater, outside diameter = 3.40 cm, immersed in a container of water. In order to keep the water in the container heated to a constant temperature of 35.0°C you adjust the temperature of the spherical heater. You reach a steady-state condition when the surface temperature of the spherical heater is at 79.0°C. Assuming the electrical efficiency of the heater is 100.0%, calculate the power required by the heater (i.e., calculate q). Ignore radiation.The first law of thermodynamics relates the heat transfer into or out of a system to the change of internal and the work done on the system. How much heat, in joules, is transferred into a system when its internal energy decreases by 165 J while it was performing 27.5 J of work?