Concept explainers
(a)
The heat energy added to raise the temperature of water from
(a)
Answer to Problem 4SP
The heat energy added to raise the temperature of water from
Explanation of Solution
Given info: The mass of the water is
Write the expression to find the heat energy added to raise the temperature of water from
Here,
Substitute
Conclusion:
Therefore, the heat energy added to raise the temperature of water from
(b)
The amount of water increasing in the process.
(b)
Answer to Problem 4SP
The amount of water increasing in the process is
Explanation of Solution
Write the expression to find mass of the water increasing in the process.
Here,
Substitute
Conclusion:
Therefore, the amount of water increasing in the process is
(c)
The comparison of the increase in mass with the original mass.
(c)
Answer to Problem 4SP
The increase in mass is negligible when compared with the original mass.
Explanation of Solution
When we consider the expression of the ratio of the original mass to the increase in mass, the ratio becomes
This can be reduced to
Conclusion:
Therefore, the increase in mass is negligible when compared with the original mass.
(d)
The conversion of original mass into kinetic energy.
(d)
Answer to Problem 4SP
The conversion of original mass into kinetic energy gives
Explanation of Solution
Write the expression for conversion of original mass into kinetic energy.
Here,
Substitute
Conclusion:
Therefore, the conversion of original mass into kinetic energy gives
Want to see more full solutions like this?
Chapter 20 Solutions
Physics of Everyday Phenomena
- (a) What is the rate of heat conduction through the 3.00-cm-thick fur of a large animal having a 1.40m2 surface area? Assume that the animal’s skin temperature is 32.0C, that tile air temperature is 5.00C, and that fur has the same thermal conductivity as air. (b) What food intake will the animal need in one day to replace this heat transfer?arrow_forward(a) How much heat transfer is required to raise the temperature of a 0.750kg aluminum pot containing 2.50 kg of water from 30.0C to the boiling point and then boil away 0.750 kg of water? (b) How long does this take if the rate of heat transfer is 500 W 1watt=ljoule/second(lW=lJ/s) ?arrow_forward8. You are given a sample of metal (mass 2.9 kg) and asked to determine its specific heat. You carefully add 12.5 kilojoules of heat energy to the sample and find that its temperature rises 18.0 °C. What is the sample's specific heat? * O A. 0.24 J/kg K О в. 14.8 J/kgк О С. 24.5 J/kgK O D. 239.6 J/kg K O E. 4190 J/kg Karrow_forward
- A rectangular window in a home has a length of 1.5 m and a height of 0.80 m. If the window allows heat to escape from the home at a rate of 2,000 watts, how thick must the window be if the inside temperature of the home is 220 C and the outside temperature is 3.00C? (Assume that the coefficient of thermal conduction of glass is 0.80 W/mK.) a. 7.1 mm b. 124 mm c. 9.1 mm d. 8.1 mm e. 11 mmarrow_forward1. The temperature on a warm summer day is95°F. What is this temperature:a. in degrees Celsius?b. on the absolute (Kelvin) scale? 2. How much heat must be removed from a 200-gblock of copper to lower its temperature from150°C to 30°C? The specific heat capacity ofcopper is 0.093 cal/g·C°. 3. The volume of an ideal gas is increased from0.8 m3to 2.4 m3 while maintaining a constantpressure of 1000 Pa (1 Pa = 1 N/m2). How muchwork is done by the gas in this expansion?arrow_forward4. 100.0 g of 4.0°C water is heated until its temperature is 37°C. If the specific heat of water is 4180J/kg°C, calculate the amount of heat energy needed to cause this rise in temperature. 5. A 0.3 kg piece of copper is heated and fashioned into a bracelet. The amount of energy transferredby heat to the copper is 66,300 J. If the specific heat of copper is 390 J/kg celcius, what is the change of thecopper's temperature?arrow_forward
- 56. A chunk of steel with a mass of 1.57 kg absorbs net thermal energy of 2.5 x 105 J and rises its temperature by 355°C. What is the specific heat of the steel? a. 4845.81 J/Kg.°C b. 4485.51 J/Kg.°C c. 4548.51 J/Kg.°C d. 4584.51 J/Kg.°C a Carrow_forwardAn apple loses 4.5 kJ of heat as it cools per degC drop in its temperature. The amount of heat loss from the apple per degF drop in its temperature is? what is the answer a. 23.368 BTU b. 684799.38 KJ c. 649098.941 BTU d. 24652.778 kJarrow_forwardThe change in temperature of a substance when heated, depends on its specific heat capacity. a. If the specific heat capacity of lead is 120 j/kgk, what is the heat energy required to raise the tempreture of 0.50 kg of a lead ball from 25°C to 45°C? b. The 0.50 kg lead ball at 45°C is now dropped into a calorimeter with water at 20°C. if the final temperature of the ball-water system is 25°C, what is the mass of the water?arrow_forward
- If you add 700 kJ of heat to 600 g of water at 60.0°C, how much water will be left in the container? The latent heat of vaporization of water is 2.26 × 106 J/kg and its specific heat is 4190 J/(kg∙K). a. 529 g b. 240 g c. 335 g d. 265 garrow_forward4. A copper bar lies between two heat sources given by T₁ = 100°C and Tc = 20°C. The area of the copper bar is 4.5 cm 2 and its thickness is 15 cm. Calculate the ratio of heat transfer by conduction between both sources. a. 96 J/s b. 9624 J/s c. 962 kJ/s d. 962 J/s 5. Calculate the ratio of heat flow through a window of 4.0 m² and a thickness of 3.5 mm when the indoor and outdoor temperatures are 25°C and 24°C. a. 2143 J/s b. 1143 J/s c. 11.4 J/s d. 1200 J/s 6. Six (6) molecules in a container have the following velocities: 400, 550, 345, 678, 899, 200 m/s. Find the average velocity of the gas molecules. 7. The mass of a molecule of an ideal gas is 3.56 x 10-26 kg. Calculate the speed Vrms at a temperature of 100°C. 8. The temperature of 3.00 mol of an ideal monatomic gas is increased from 30°C to 95°C. The gas is kept at constant volume. Determine the energy transferred as heat. 9. The temperature of 2.00 mol of an ideal monatomic gas is increased by 25 K at constant pressure.…arrow_forward1. Suppose 3,500[J] of work is done on a system, and 4,000[J] of heat flows into the system during this process. What is the change in thermal energy of the system? Express your answer in Joules. 2. The temperature of the air is 25oC. What is this temperature expressed on the Fahrenheit scale? 3. The temperature of a cup of hot coffee is 175oF. What is this temperature on the Kelvin scale? 4. A heat engine operates between energy reservoirs of 75°C and 450°C. What is the maximum efficiency of this heat engine? Express your answer as a decimal, between 0 and 1. 5. A heat engine is operated between two energy reservoirs at different temperatures, where 10,200[J] of thermal energy flows out of the hot reservoir. If the engine has an efficiency of 0.15, what is the work performed by the engine? Express your answer in Joules.arrow_forward
- College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax College