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 L = 3.34x105J/kg.Part AHow much heat QH❘ is rejected to the room?Express your answer in joules to four significant figures.▸ View Available Hint(s)|QH =ΜΕ ΑΣΦSubmitPart B Complete previous part(s)?J

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Answered: An ice-making machine inside a…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter21: Heat And The First Law Of Thermodynamics

Section: Chapter Questions

Problem 31PQ: Consider the latent heat of fusion and the latent heat of vaporization for H2O, 3.33 105 J/kg and...

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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
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 .
The insulated cylinder shown below is closed at both ends and contains an insulating piston that is flee to move on frictionless bearings. The piston divides the chamber into two compartments containing gases A and B. Originally, each compartment has a volume of 5.0102 m3 and contains a monatomic ideal gas at a temperature of and a pressure of 1.0 atm. (a) How many moles of gas are in each compartment? (b) Heat Q is slowly added to A so that it expands and B is compressed until the pressure of both gases is 3.0 atm. Use the fact that the compression of B is adiabatic to determine the final volume of both gases. (c) What are their final temperatures? (d) What is the value of Q?
A car tile contains 0.0380 m3 of air at a pressure of 2.20105 Pa (about 32 psi). How much more internal energy does this gas have than the same volume has at zero gauge pressure (which is equivalent to normal atmospheric pressure)?
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?
When 400 J of heat are slowly added to 10 mol of an ideal monatomic gas, its temperature rises by 10 . What is the work done on the gas?
A 0.250-kg aluminum bowl holding 0.800 kg of soup at 25.0 is placed in a freezer. What is the final temperature if 388 kJ of energy is transferred from the bowl and soup, assuming the soup's thermal properties are the same as that of water?
In performing 100.0 J of work, an engine discharges 50.0 J of heat. What is the efficiency of the engine?
A heat pump has a coefficient of performance of 3.80 and operates with a power consumption of 7.03 103 W. (a) How much energy does it deliver into a home during 8.00 h of continuous operation? (b) How much energy does it extract from the outside air?
If a gas is compressed isothermally, which of the following statements is true? (a) Energy is transferred into the gas by heat. (b) No work is done on the gas. (c) The temperature of the gas increases, (d) The internal energy of the gas remains constant, (e) None of those statements is true.
In car racing, one advantage of mixing liquid nitrous oxide (N2O) with air is that the boiling of the "nitrous" absorbs latent heat of vaporization and thus cools the air and ultimately the fuel-air mixture, allowing more fuel-air mixture to go into each cylinder. As a very rough look at this process, suppose 1.0 mol of nitrous oxide gas at its boiling point, 88 , is mixed with 4.0 mol of air (assumed diatomic) at 30 . What is the final temperature of the mixture? Use the measured heat capacity of N2O at 25 , which is 30.4J/mol . (The primary advantage of nitrous oxide is that it consists of 1/3 oxygen, which is more than air contains, so it supplies more oxygen >to bum the fuel. Another advantage is that its decomposition into nitrogen and oxygen releases energy in the cylinder.)
A thermodynamic system undergoes a process in which its internal energy decreases by 500 J. Over the same time interval, 220 J of work is done on the system. Find the energy transferred from it by heat.

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