College Physics
2nd Edition
ISBN: 9780134601823
Author: ETKINA, Eugenia, Planinšič, G. (gorazd), Van Heuvelen, Alan
Publisher: Pearson,
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Chapter 15, Problem 54P
To determine
The mass of water, in terms of
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Frosty the Snowman’s magic hat keeps him at a comfortable temperature of -11°C. However, a nearby test of a nuclear explosive device knocks off his hat and irradiates him. He absorbs 47 MJ of energy! Frosty’s initial mass is 99 kg of pure ice. Ignore the hat and any other ornaments. We need to determine if Frosty absorbs sufficient energy to melt completely. What is the minimum amount of energy, in megajoules, that is required to melt Frosty?
Frosty the Snowman’s magic hat keeps him at a comfortable temperature of -8°C. However, a nearby test of a nuclear explosive device knocks off his hat and irradiates him. He absorbs 47 MJ of energy!
Frosty’s initial mass is 103 kg of pure ice. Ignore the hat and any other ornaments. We need to determine if Frosty absorbs sufficient energy to melt completely. What is the minimum amount of energy, in megajoules, that is required to melt Frosty?
After Frosty is completed melted at 0°C, how much energy, in megajoules, is left to do further damage?
An insulated beaker with negligible mass contains a mass of 0.300 kg
of water at a temperature of 66.1°C. Take the specific heat for water to
be 4190 J/kg - K the specific heat for ice to be 2100 J/kg · K and
the heat of fusion for water to be 334 kJ/kg.
Part A
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How many kilograms of ice at a temperature of -20.5°C must be dropped in the water to make the final temperature of the system 23.2°C?
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Chapter 15 Solutions
College Physics
Ch. 15 - Review Question 15.1 Imagine that a balloon...Ch. 15 - Prob. 2RQCh. 15 - Prob. 3RQCh. 15 - Review Question 15.4 Describe two situations in...Ch. 15 - Prob. 5RQCh. 15 - Review Question 15.6 Why are the units for...Ch. 15 - Prob. 7RQCh. 15 - An ideal gas in a container is separated with a...Ch. 15 - 2. A container of gas has a movable piston, which...Ch. 15 - Prob. 3MCQ
Ch. 15 - Prob. 4MCQCh. 15 - 5. How much heat is stored in 10 kg of water at...Ch. 15 - We define the specific heat of a material as the...Ch. 15 - Prob. 7MCQCh. 15 - Figure Q15.8 shows a P-versus-V graph for two...Ch. 15 - 9. An electric heater is keeping the inside of a...Ch. 15 - Match each heating mechanism (left column) with a...Ch. 15 - 11. Your friend says, "Heat rises." Do you agree...Ch. 15 - Suggest practical ways for determining the...Ch. 15 - Suggest practical ways to measure heats of melting...Ch. 15 - Prob. 14CQCh. 15 - 15. Why does an egg take the same time interval to...Ch. 15 - Why does food cook faster in a pressure cooker...Ch. 15 - A potato into which several nails have been pushed...Ch. 15 - Explain why double-paned windows help reduce...Ch. 15 - 19. The water in a paper cup can be boiled by...Ch. 15 - Provide two reasons why blowing across hot soup or...Ch. 15 - 21. Placing a moistened finger in the wind can...Ch. 15 - Why does covering a keg of beer with wet towels on...Ch. 15 - 23. Explain why dogs can cool themselves by...Ch. 15 - 24. Some houses are heated by hot oil or water...Ch. 15 - If on a hot summer day you place one bare foot on...Ch. 15 - 26. A woman has a cup of hot coffee and a small...Ch. 15 - * EST Estimate the thermal energy of the air in...Ch. 15 - A balloon of volume 0.010 m3 is filled with 1.0...Ch. 15 - * Imagine that the helium balloon from the...Ch. 15 - 4. *You accidentally release a helium-filled...Ch. 15 - * Helium in a cylinder with a piston and initially...Ch. 15 - Prob. 7PCh. 15 - 8. * Jeopardy problem A gas process is described...Ch. 15 - 9. * Jeopardy problem A gas process is described...Ch. 15 - 10. Use the first law of thermodynamics to devise...Ch. 15 - Prob. 11PCh. 15 - Prob. 12PCh. 15 - Prob. 13PCh. 15 - 14 *You are making a table for specific heats of...Ch. 15 - Prob. 15PCh. 15 - 16. * BIO EST Body temperature change A drop in...Ch. 15 - 17. * BIO Temperature change of a person A 50-kg...Ch. 15 - Determine the amount of thermal energy provided by...Ch. 15 - 19. EST Estimate the time interval required for a...Ch. 15 - Prob. 20PCh. 15 - * BIO Exercising warms body A 50-kg woman...Ch. 15 - Prob. 22PCh. 15 - * You add 20C water to 0.20 kg of 40C soup After a...Ch. 15 - BIO Cooling a hot child A 30-kg child has a...Ch. 15 - Prob. 25PCh. 15 - 26. * You pour 250 g of tea into a Styrofoam cup,...Ch. 15 - Prob. 27PCh. 15 - Prob. 28PCh. 15 - 29. Determine the energy needed to change a...Ch. 15 - 30. * When of energy is removed from 0.60 kg of...Ch. 15 - Prob. 31PCh. 15 - C that must be added to a cup with 250 g of tea at...Ch. 15 - An ice-making machine removes thermal energy from...Ch. 15 - Prob. 34PCh. 15 - Prob. 35PCh. 15 - 36. How much energy is required to convert (a)...Ch. 15 - 37. Cooling with alcohol rub During a back rub, 80...Ch. 15 - 38. Energy in a lightning flash A lightning flash...Ch. 15 - 39 A kettle containing 0.75 kg of boiling water...Ch. 15 - Prob. 40PCh. 15 - * EST Energy changes when it rains Estimate the...Ch. 15 - 42. * Insulating a house You insulate your house...Ch. 15 - C and the outside temperature is -10C?Ch. 15 - Prob. 44PCh. 15 - 45. While blowing across the bowl of soup in the...Ch. 15 - Prob. 46PCh. 15 - BIO Marathon You are training for a marathon While...Ch. 15 - Prob. 48PCh. 15 - 49. * A canteen is covered with wet canvas. If 15...Ch. 15 - * EST Evaporative cooling Each year a layer of...Ch. 15 - Prob. 51PCh. 15 - BIO Tree leaf A tree leaf of mass of 0.80 g and...Ch. 15 - Warming a spaceship Your friend says that natural...Ch. 15 - Prob. 54PCh. 15 - Which is less dense: dry or wet air? Explain your...Ch. 15 - * BIO Losing liquid while running While running,...Ch. 15 - Prob. 57PCh. 15 - 58. ** EST Global climate change Assume that...Ch. 15 - Prob. 59PCh. 15 - * Standard house 2 On the same day in the same...Ch. 15 - * Standard house 3 Suppose that the following...Ch. 15 - Prob. 62PCh. 15 - ** BIO EST Metabolism warms bedroom Because of its...Ch. 15 - Prob. 65GPCh. 15 - * EST House ventilation For purposes of...Ch. 15 - Prob. 67GPCh. 15 - ** EST Heating an event center with metabolic...Ch. 15 - Prob. 70RPPCh. 15 - Prob. 71RPPCh. 15 - Prob. 72RPPCh. 15 - Prob. 73RPPCh. 15 - Prob. 74RPPCh. 15 - Prob. 75RPPCh. 15 - Prob. 76RPPCh. 15 - Prob. 77RPPCh. 15 - Prob. 78RPPCh. 15 - Prob. 79RPPCh. 15 - Prob. 80RPP
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- (a) A shirtless rider under a circus tent feels the heat radiating from the sunlit portion of the tent. Calculate the temperature of the tent canvas based on the following information: The shirtless rider’s skin temperature is 34.0C and has an emissivity of 0.970. The exposed area of skin is 0.400m2. He receives radiation at the rate of 20.0 W—half what you would calculate if the entire region behind him was hot. The rest of the surroundings are at 34.0C. (b) Discuss how this situation would change if the sun lit side of the tent was nearly pure white and if the rider was covered by a white tunic.arrow_forwardIn an air conditioner, 12.65 MJ of heat transfer occurs from a cold environment in 1.00 h. (a) What mass of ice melting would involve the same heat transfer? (b) How many hours of operation would be equivalent to mailing 900 kg of ice? (c) If ice costs 20 cents per kg, do you think the air conditioner could be operated more cheaply than by simply using ice? Describe in detail how you evaluate the relative costs.arrow_forward€69. Integrated Concepts (a) A large electrical power facility produces 1600 MW of “waste heat.” which is dissipated to the environment in cooling towers by warming air flowing through the towers by 500C. What is the necessary flow rate of air in m3/s ? (b) Is your result consistent with the large cooling towers used by many large electrical power plants?arrow_forward
- (a) 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 300kg/m3. The area of contact is 25.0cm2, the temperature of the coals is 700C, and the time in contact is 1.00 s. (b) What temperature increase is produced in the 25.0cm3 of tissue affected? (c) What effect do you think this will have on the tissue, keeping in mind that a callus is made of dead cells?arrow_forwardIt is the morning of a day that will become hot. You just purchased drinks for a picnic and are loading them, with ice, into a chest in the back of your car. (a) You wrap a wool blanket around the chest. Does doing so help to keep the beverages cool, or should you expect the wool blanket to warm them up? Explain your answer. (b) Your younger sister suggests you wrap her up in another wool blanket to keep her cool on the hot day like the ice chest. Explain your response to her.arrow_forwardA bag containing 0C ice is much more effective in absorbing energy than one containing the same amount at 0C water. a. How much heat transfer is necessary to raise the temperature of 0.800 kg of water from 0C to 30.0C ? b. How much heat transfer is required to first melt 0.800 kg of 0C ice and then raise its temperature? c. Explain how your answer supports the contention that the ice is more effective.arrow_forward
- (a) The number of kilocalories in food is determined by calorimetry techniques in which the food is burned and the amount at heat transfer is measured. How many kilocalories per gram are there in a 5.00g peanut if the energy from burning it is transferred to 0.500 kg of water held in a 0.100kg aluminum cup, causing a 54.9C temperature increase? (b) Compare your answer to labeling information found on a package of peanuts and comment on whether the values are consistent.arrow_forwardA power plant has been proposed that would make use of the temperature gradient in the ocean. The system is to operate between 20.0C (surface water temperature) and 5.00C (water temperature at a depth of about 1 km). (a) What is the maximum efficiency of such a system? (b) If the useful power output of the plant is 75.0 MW, how much energy is absorbed per hour? (c) In view of your answer to part (a), do you think such a system is worthwhile (considering that there is no charge for fuel)?arrow_forwardThe Sun radiates energy at the rate of 3.801026W from its 5500C surface into dark empty space (a negligible fraction radiates onto Earth and the other planets). The effective temperature of deep space is 270C. (a) What is the increase in entropy in one day due to this heat transfer? (b) How much work is made unavailable?arrow_forward
- The Sun radiates like a perfect black body with an emissivity of exactly 1. (a) Calculate the surface temperature of the Sun, given that it is a sphere with a 7.00108m radius that radiates 3.801026W into 3-K space. (b) How much power does the Sun radiate per square meter of its surface? (c) How much power in watts per square meter is that value at the distance of Earth, 1.501011m away? (This number is called the solar constant.)arrow_forwardBeryllium has roughly one-half the specific heat of water (H2O). Rank the quantities of energy input required to produce the following changes from the largest to the smallest. In your ranking, note any cases of equality, (a) raising the temperature of 1 kg of H2O from 20C to 26C (b) raising the temperature of 2 kg of H2O from 20C to 23C (c) raising the temperature of 2 kg of H2O from 1C to 4C (d) raising the temperature of 2 kg of beryllium from 1C to 2C (e) raising the temperature of 2 kg of H2O from -1C to 2Carrow_forwardUnreasonable Results (a) What is the temperature increase of an 80.0 kg person who consumes 2500 kcal of food in one day with 95.0% of the energy transferred as heat to the body? (b) What is unreasonable about this result? (c) Which premise or assumption is responsible?arrow_forward
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