An insulated beaker with negligible mass contains liquid water with a mass of 0.330 kg and a temperature of 63.8 °C .How much ice at a temperature of -17.2 °C must be dropped into the water so that the final temperature of the system will be 24.0 °C ? Take the specific heat of liquid water to be 4190 J/kg.K, the specific heat of ice to be 2100 J/kg-K, and the

An insulated beaker with negligible mass contains liquid water with a mass of 0.330 kg and a temperature of 63.8 °C .How much ice at a temperature of -17.2 °C must be dropped into the water so that the final temperature of the system will be 24.0 °C ? Take the specific heat of liquid water to be 4190 J/kg.K, the specific heat of ice to be 2100 J/kg-K, and the

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter1: Temperature And Heat

Section: Chapter Questions

Problem 83P: To help prevent frost damage, 4.00 kg of water at 0 is sprayed onto a fruit tree. (a) How much heat...

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To help prevent frost damage, 4.00 kg of water at 0 is sprayed onto a fruit tree. (a) How much heat transfer occurs as the water freezes? (b) How much would the temperature of the 200-kg tree decrease if this amount of heat transferred from the tree? Take the specific heat to be 3.35k J/kg. , and assume that no phase change occurs in the tree.
How much heat transfer (in kilocalories) is required to thaw a 0.450-kg package of frozen vegetables originally at 0 if their heat of fusion is the same as that of water?
Repeat the preceding problem, assuming the water is in a glass beaker with a mass of 0.200 kg, which in tum is in a calorimeter. The beaker is initially at the same temperature as the water. Before doing the problem, should the answer be higher or lower than the preceding answer? Comparing the mass and specific heat of the beaker to those of the water, do you think the beaker will make much difference?
On a cold winter morning, why does the metal of a bike feel colder than the wood of a porch?
One easy way to reduce heating (and cooling) costs is to add extra insulation in the attic of a house. Suppose a single-story cubical house already had 15 cm of fiberglass insulation in the attic and in all the exterior surfaces. If you added an extra 8.0 cm of fiberglass to the attic, by what percentage would the heating cost of the house drop? Take the house to have dimensions 10 m by 15 m by 3.0 m. Ignore air infiltration and heat loss through windows and doors, and assume that the interior is uniformly at one temperature and the exterior is uniformly at another.
An infrared heater for a sauna has a surface area of 0.050 m2 and an emissivity of 0.84. What temperature must it run at if the required power is 360 W? Neglect the temperature of the environment.
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
An ideal air conditioner keeps the temperature inside a roomat 21°C when the outside temperature is 32°C. If 4.8 kWof power enters a room through the windows in the form ofdirect radiation from the Sun, how much electrical powerwould be saved if the windows were shaded so only 500 Wenters?
The convection heat transfer coefficient for a clothedperson standing in moving air is expressed as h = 14.8V 0.69for 0.15 < V < 1.5 m/s, where V is the air velocity. For aperson with a body surface area of 1.7 m2 and an averagesurface temperature of 29°C, determine the rate of heat lossfrom the person in windy air at 10°C by convection for airvelocities of (a) 0.5 m/s, (b) 1.0 m/s, and (c) 1.5 m/s.
On a hot dry day, evaporation from a lake has just enough heat transfer to balance the 1.00 kW/m2 of incoming heat from the Sun. How many kg of water evaporate in 1.25h from each squre meter of the lake, You assume the latent heat of vaporization for water here is Lv= 2414kJ/kg m?
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.
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]