A 0.270-kg piece of aluminum that has a temperature of -162 °C is added to 1.6 kg of water that has a temperature of 1.3 °C. At equilibrium the temperature is 0 °C. Ignoring the container and assuming that the heat exchanged with the surroundings is negligible, determine the mass of water that has been frozen into ice.AluminumIceEquilibrium(0.0°C)Initial stateNumberUnitsthe tolerance is +/-2%

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Answered: A 0.270-kg piece of aluminum that has a…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter17: Energy In Thermal Processes: The First Law Of Thermodynamics

Section: Chapter Questions

Problem 11P

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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 firewalker runs across a bed of hot coals without sustaining burns. Calculate the heat transferred by conduction into the sole of one foot of a firewalker given that the bottom of the foot is a 3.00-mm-thick callus with a conductivity at the low end of the range for wood and its density is 300 kg/m3. The area of contact is 25.0 cm2 the temperature of the coals is 700 , and the time in contact is 1.00 s. Ignore the evaporative cooling of sweat.
A 200.0 g metal container, insulated on the outside, holds 100.0 g of water in thermalequilibrium at 22.0 oC. A 21.0 g ice cube, at the melting point, is dropped into the water. Whenthermal equilibrium is reached, the temperature is 15.0 °C. Assuming there is no heat exchangewith the surroundings, calculate the specific heat for the metal.[Given cwater = 4186.0 J/kg*K and Lf = 3.34 *10^5 J/kg]
Initially you have mwater=4.2kg of water at Twater=66 degrees celcius in a insulated container. You add ice at T ice= -18 degrees celcius to the container and the mix reaches a final, equillibrium temperature of Tf=27 degrees celcius. The specific heat of ice and water are c ice= 2.10×10^3 J/kg×°C) and c water= 4.19×10^3, respectivly, and the latent heat of fusion of water is Lf= 3.34×10^5 J/kg. A.) What is the expression for the mass of ice you added, in terms of the defined quantities? B.) What is the mass of ice, in Kg?
A thirsty nurse cools a 2.00-L. bottle of a soft drink (mostly water) by pouring into a large aluminum mug of mass 0.257 kg and adding 0.120 kg of ice initially at -15.0°C If the soft drink and mug are initially at 20.0°C, what is the final tem perature of the system, assuming that no heat is lost?
At a foundry, 22 kg of molten aluminum witha temperature of 660.4◦C is poured into amold.If this is carried out in a room containing150 kg of air at 25◦C, what is the temperatureof the air after the aluminum is completelysolidified? Assume that the specific heat capacity of air is 1.0×10^3J/kg ·◦C. The specificheat of aluminum is 899 J/kg ·◦ C and its latent heat of fusion is 3.97 × 10^5J/kg.Answer in units of ◦C
A thirsty nurse cools a 2.40 L bottle of a soft drink (mostly water) by pouring it into a large aluminum mug of mass 0.249 kg and adding 0.122 kg of ice initially at -14.3 ∘C. If the soft drink and mug are initially at 21.0 ∘C, what is the final temperature of the system, assuming no heat losses? Express your answer in degrees Celsius.
An 8-m-internal-diameter spherical tank made of1.5-cm-thick stainless steel (k = 15 W/m·K) is used to storeiced water at 0°C. The tank is located in a room whose temperatureis 25°C. The walls of the room are also at 25°C.The outer surface of the tank is black (emissivity « = 1),and heat transfer between the outer surface of the tank andthe surroundings is by natural convection and radiation. Theconvection heat transfer coefficients at the inner and theouter surfaces of the tank are 80 W/m2·K and 10 W/m2·K,respectively. Determine (a) the rate of heat transfer to theiced water in the tank and (b) the amount of ice at 0°C thatmelts during a 24-h period. The heat of fusion of water atatmospheric pressure is hif = 333.7 kJ/kg.
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Solar radiation is incident on a 5 m2 solar absorberplate surface at a rate of 800 W/m2. Ninety-three percent ofthe solar radiation is absorbed by the absorber plate, whilethe remaining 7 percent is reflected away. The solar absorberplate has a surface temperature of 40°C with an emissivityof 0.9 that experiences radiation exchange with the surroundingtemperature of -5°C. In addition, convective heat transferoccurs between the absorber plate surface and the ambientair of 20°C with a convection heat transfer coefficient of7 W/m2∙K. Determine the efficiency of the solar absorber,which is defined as the ratio of the usable heat collected bythe absorber to the incident solar radiation on the absorber.
The roof of an electrically heated home is 12m long, 16m wide, and 0.50mthick, and is made of a flat layer concrete whose thermal conductivity isk=0.8W/m 2 ·°C. The temperature of the inner and outer surfaces of the roofone night are measured to be 12°C and 1°C, respectively, for a period of 12hours. Determine a) the rate of heat loss through the roof that night b) thecost of that heat loss to the home owner if the cost of electricity is$0.14/kWh.
A 500 g aluminum bucket contains 1.20 kg of water at an equilibrium temperature of40.0 °C. The bucket and water are cooled uniformly at a constant rate by addition of400 g of ice at -5.00 °C. Assume no heat exchange to environment.Given thatLatent heat of fusion of ice, LfSpecific heat of water, cwaterSpecific heat of ice, CiceSpecific heat of aluminum, caluminum = 900 J kg- °C-! = 3.33 x 105 J kg = 4186 J kg- C' = 2000 J kg- °C 1)Determine the final temperature of the system in the scale of degree Celsius

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