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?

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?

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 9OQ

See similar textbooks

Similar questions

(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?
A pronghorn antelope can run at a remarkable 18 m/sm/s for up to 10 minutes, almost triple the speed that an elite human runner can maintain. For a 32 kgkg pronghorn, this requires an astonishing 3.4 kWkW of metabolic power, which leads to a significant increase in body temperature. If the pronghorn had no way to exhaust heat to the environment, by how much would its body temperature increase during this run? (In fact, it will lose some heat, so the rise won't be this dramatic, but it will be quite noticeable, requiring adaptations that keep the pronghorn's brain cooler than its body in such circumstances.) Assume the efficiency of the pronghorn to be equal to that of human.
The concrete slab of a basement is 11 m long and 8 m wide, and 0.20 m thick. During the winter, temperatures are nominally 17°C and 10°C at the top and bottom surfaces, respectively. If the concrete has a thermal conductivity of 1.4 W/mK, what is the rate of heat loss through the slab? If the basement is heated by a gas furnace operation at an efficiency of 90%, and natural gas is priced at $0.02. MJ, what is the daily cost of the heat loss. Answer: QLOSS = 4.312 kW, COST = $8.28/day
The concrete slab of a basement is 11m long, 8 m wide and 0.2 m thick. During the winter, temperatures are nominally 17°C and 10°C at the top and bottom respectively. If the concrete has thermal conductivity of 1.4 W/m K, what is the rate of heat loss through the slab? If the basement is heated by a gas furnace operating at an efficiency of 90% using natural gas priced at Cg = Php 1.00/MJ, what is the daily cost of heat loss?
Hydrothermal vents deep on the ocean floor spout water at temperatures as high as 570°C. This temperature is below the boiling point of water because of the immense pressure at that depth. Because the surrounding ocean temperature is at 4.0°C, an organism could use the temperature gradient as a source of energy. (a) Assuming the specific heat of water under these conditions is 1.0 cal/g ? °C, how much energy is released when 1.0 liter of water is cooled from 570°C to 4.0°C? (b) What is the maximum usable energy an organism can extract from this energy source? (Assume the organism has some internal type of heat engine acting between the two temperature extremes.) (c) Water from these vents contains hydrogen sulfide (H2 S) at a concentration of 0.90 mmole/liter. Oxidation of 1.0 mole of H2 S produces 310 kJ of energy. How much energy is available through H2 S oxidation of 1.0 L of water?
A 4-ton air conditioner removes 5.06×107 J (48,000 British thermal units) from a cold environment in 1.00 h. (a) What energy input in joules is necessary to do this if the air conditioner has an energy efficiency rating ( EER ) of 12.0? (b) What is the cost of doing this if the work costs 10.0 cents per 3.60×106J (one kilowatt-hour)? (c) Discuss whether this cost seems realistic. Note that the energy efficiency rating ( EER ) of an air conditioner or refrigerator is defined to be the number of British thermal units of heat transfer from a cold environment per hour divided by the watts of power input.
(a) Two 33 g ice cubes are dropped into 180 g of water in a thermally insulated container. If the water is initially at 27°C, and the ice comes directly from a freezer at -21°C, what is the final temperature at thermal equilibrium? (b) What is the final temperature if only one ice cube is used? The specific heat of water is 4186 J/kg-K. The specific heat of ice is 2220 J/kg•K. The latent heat of fusion is 333 kJ/kg. (a) Number Units (b) Number Units
According to the USDA, an average, \moderately active" college student needs to eat 2500 calories per day. These \calories" are actually kilocalories, or kcal; and, we prefer to use Joules (J) in geophysics. The conversion is 1 kcal = 4187 J. The average geothermal heat ux is 60 mW/m2. How large an area on Earth's surface releases the same amount of energy in one day as used by the average college student in a day?
In very cold weather, a significant mechanism for heat loss by the human body is the energy expended in warming the air taken into the lungs with each breath. (a) On a cold winter day when the temperature is - 20 ℃, what amount of heat is needed to warm body temperature (37 ℃) the 0.60 L of air exchanged with each breath? Assume that the specific heat of air is 1020 J/kg.K and that 1.0 L of air has a mass of 1.3 x 10-3 kg. (b) How much heat is lost per hour if the respiration rate is 20 breaths per minute?
Hydrothermal vents deep on the ocean floor spout water at temperatures as high as 570°C. This temperature is below the boiling point of water because of the immense pressure at that depth. Because the surrounding ocean temperature is at 4.0°C, an organism could use the temperature gradient as a source of energy. (a) Assuming the specific heat of water under these conditions is 1.0 cal/g . °C, how much energy is released when 1.0 L of water is cooled from 570°C to 4.0°C? (b) What is the maximum usable energy an organism can extract from this energy source? (Assume the organism has some internal type of heat engine acting between the two temperature extremes.) (c) Water from these vents contains hydrogen sulfide (H2S) at a concentration of 0.90 mmole/L. Oxidation of 1.0 mole of H2S produces 310 kJ of energy. How much energy is available through H2S oxidation of 1.0 L of water?
Suppose that in our lab on calorimetry, 80 g of aluminum at -20° Celcius was added to 120 g of water at 27° Celcius, and then isolated in an insulated container. When the system comes to equilibrium, what would be the final temperature? The heat capacity of aluminum is 900 J/kg K water is 4190 J/kg K, ice is 2030 J/kg K, and the latent heat of fusion of water is 334 kJ/kg.
A 25,000 kg subway train initially traveling at 15.5 m/s slows to a stop in a station and the stays there long enoughfor its brakes to cool. The station's dimensions are 65.0 m long by 20.0 m wide by 12.0 m high. Assuming all the work done by the brakes in stopping the train is transferred as heat uniformly to all the air in the station, by how much does the air temperature in the sation rise? Take the density of the air to be 1.20 kg/m3 and its specific heat to be 1020 J/kg*K.