An ice-making machine inside a refrigerator operates ina Carnot cycle. It takes heat from liquid water at 0.0 °Cand rejects heat to a room at a temperature of 24.5 °C.Suppose that liquid water with a mass of 77.8 kg at 0.0°C is converted to ice at the same temperature.Take the heat of fusion for water to be Lf = 3.34×105J/kg. Part AHow much heat |H| is rejected to the room?Express your answer in joules to four significant figures.▸ View Available Hint(s)QH 2.832×107 J=SubmitPrevious AnswersPart BCorrectHow much energy E must be supplied to the device?Express your answer in joules.▸ View Available Hint(s)E=SubmitΤΟ ΑΣΦ?J

Answered: An ice-making machine inside a…

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter3: The First Law Of Thermodynamics

Section: Chapter Questions

Problem 66P: One of a dilute diatomic gas occupying a volume of 10.00 L expands against a constant pressure of...

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Consider the latent heat of fusion and the latent heat of vaporization for H2O, 3.33 105 J/kg and 2.256 106 J/kg, respectively. How much heat is needed to a. melt 2.00 kg of ice and b. vaporize 2.00 kg of water? Assume the temperatures of the ice and steam are at the melting point and vaporization point, respectively. (a). UsingEq21.9, Q = mLF = (2.00 kg) (3.33l05 J/kg) = 6.66105 J (b).UsingEq21.10. Q = mLV = (2.00kg) (2.256106 J/kg) = 14.51106 J
For a temperature increase of 10 at constant volume, what is the heat absorbed by (a) 3.0 mol of a dilute monatomic gas; (b) 0.50 mol of a dilute diatomic gas; and (c) 15 mol of a dilute polyatomic gas?
An ideal gas initially at 300 K undergoes an isobaric expansion at 2.50 kPa. If the volume increases from 1.00 m3 to 3.00 m3 and 12.5 kJ is transferred to the gas by heat, what are (a) the change in its internal energy and (b) its final temperature?
Suppose 26.0 g of neon gas are stored in a tank at a temperature of 152C. (a) What is the temperature of the gas on the Kelvin scale? (See Section 10.2.) (b) How many moles of gas are in the tank? (See Section 10.4.) (c) What is the internal energy of the gas? (See Section 10.5.)
A Carnot refrigerator exhausts heat to the air, which is at a temperature of 25 . How much is used by the refrigerator if it freezes 1.5 g of water per second? Assume the water is at 0 .
Equal masses of substance A at 10.0C and substance B at 90.0C are placed in a well-insulated container of negligible mass and allowed to come to equilibrium. If the equilibrium temperature is 75.0Q which substance has the larger specific heat? (a) substance A (b) substance B (c) The specific heats are identical. (d) The answer depends on the exact initial temperatures. (e) More information is required.
(a) What is the rate of heat conduction through the 3.00-cm-thick fur of a large animal having a I .40-m surface area? Assume that the animal's skin temperature is 32.0 , that the air temperature is 5.00 , and that has the same thermal conductivity as air. (b) What food intake will the animal need in one day to replace this heat transfer?
Suppose you have 2.5kg of steam at 100 degrees celcius occupying 6.5 meters cubed at a pressure of 1.013 x 10^5 Pa. When the steam condenses to water at 100 degrees celcius it occupies a volume of 0.55 meters cubed. If the latent heat of vaporization of water is 2.26 x 10^6 J/kg, what was the change in the water's internal energy?
Compressed air can be pumped underground into huge caverns as a form of energy storage. The volume of a cavern is 6.3 x 105 m³, 5 and the pressure of the air in it is 7.4 × 106 Pa. Assume that air is a diatomic ideal gas whose internal energy U is given by U = nRT. If one home uses 30.0 kWh of energy per day, how many homes could this internal energy serve for one day?
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Six kilograms of liquid water at 0° C is put into the freezer compartment of a Carnot refrigerator. The temperature of the compartment is -15.3° C, and the temperature of the kitchen is 24.9° C. If the cost of electrical energy is ten cents per kilowatt · hour, how much does it cost to make two kilograms of ice at 0° C?
200 kg of water at 0o C is in an insulated container. A .500 kg sample of iron (448 J/kg-C) at 100oC is added to the water. What will be the temperature of the system when it reaches thermal equilibrium? You can ignore the reaction of the container.

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