The apparatus shown in Figure P11.10 was used by Joule to measure the mechanical equivalent of heat. Work is done on the water by a rotating paddle wheel, which is driven by two blocks falling at a constant speed. The temperature of the stirred water increases due to the friction between the water and the paddles. If the energy lost in the bearings and through the walls is neglected, then the loss in potential energy associated with the blocks equals the work done by the paddle wheel on the water. If each block has a mass of 1.50 kg and the insulated tank is filled with 200 g of water, what is the increase in temperature of the water after the blocks fall through a distance of 3.00 m?

The apparatus shown in Figure P11.10 was used by Joule to measure the mechanical equivalent of heat. Work is done on the water by a rotating paddle wheel, which is driven by two blocks falling at a constant speed. The temperature of the stirred water increases due to the friction between the water and the paddles. If the energy lost in the bearings and through the walls is neglected, then the loss in potential energy associated with the blocks equals the work done by the paddle wheel on the water. If each block has a mass of 1.50 kg and the insulated tank is filled with 200 g of water, what is the increase in temperature of the water after the blocks fall through a distance of 3.00 m?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter21: Heat And The First Law Of Thermodynamics

Section: Chapter Questions

Problem 71PQ

See similar textbooks

Similar questions

The apparatus shown in Figure P11.12 was used by Joule to measure the mechanical equivalent of heat. Work is done on the water by a rotating paddle wheel, which is driven by two blocks falling at a constant speed. The temperature of the stirred water increases due to the friction between the water and the paddles. If the energy lost in the bearings and through the walls is neglected, then the loss in potential energy associated with the blocks equals the work done by the paddle wheel on the water. If each block has a mass of 1.50 kg and the insulated tank is filled with 0.200 kg of water, what is the increase in temperature of the water after the blocks fall through a distance of 3.00 m?
A piece of iron block moves across a rough horizontal surface before coming to rest. The mass of the block is 2.8 kg, and its initial speed is 2.2 m/s. How much does the block's temperature increase, if it absorbs 78% of its initial kinetic energy as internal energy? The specific heat of iron is 452 J/(kg · °C). Answer ___________________°C
What happens to the internal energy of an insulated system when mechanical work is done on it? What happens to its temperature assuming no change of phase occurs? A: The internal energy increases, but the temperature decreases. B:Both decrease. C:The internal energy decreases, but the temperature increases. D:Both increase.
A glass window in a home is 0.62cm thick and has dimensions of 1 m x 2 m. On a certain day, the temperature of the interior surface of the glass is 25ºC and the exterior surface temperature is 0ºC. The rate at which energy is transferred by heat through the glass is __ W (hint: k for glass is 0.8 J/msºC, answer in watts ) The energy transferred through the window in one day, assuming the temperatures on the surfaces remain constant, is __ J.
A class of 13 students taking an exam has a power output per student of about 200 W. Assume the initial temperature of the room is 20°C and that its dimensions are 7.0 m by 17.4 m by 3.0 m. What is the temperature of the room at the end of 1.0 h if all the energy remains in the air in the room and none is added by an outside source? The specific heat of air is 1.01 ✕ 103 J/kg · °C, and its density is about 1.2 10-3 g/cm3. C
A class of 10 students taking an exam has a power output per student of about 200 W. Assume the initial temperature of the room is 20°C and that its dimensions are 6.0 m by 15.0 m by 3.0 m. What is the temperature of the room at the end of 1.0 h if all the energy remains in the air in the room and none is added by an outside source? The specific heat of air is 837 J/kg · °C, and its density is about 1.3 × 10–3 g/cm3.
An unknown material, m1 = 0.25 kg, at a temperature of T1 = 94 degrees C is added to a Dewer (an insulated container) which contains m2 = 1.1 kg of water at T2 = 24 degrees C. Water has a specific heat of cw = 4186 J/(kg⋅K). After the system comes to equilibrium the final temperature is T = 34.6 degrees C. a)Input an expression for the specific heat of the unknown material. b)What is the specific heat in J/(kg⋅K)?
To illustrate the effect of ice on the aluminum cooling plate, consider the drawing shown here and the data that it contains. Ignore any limitaions due to significant figures. How much heat per second per square meter is conducted through the ice-aluminum combination and through the aluminum by itself? combination: 6580 J/(s m2), aluminum only: 6580 J/(s m2) combination: 2400000 J/(s m2), aluminum only: 2400000 J/(s m2) combination: 2400000 J/(s m2), aluminum only: 6580 J/(s m2) combination: 6580 J/(s m2), aluminum only: 2400000 J/(s m2)
What is the final temperature of a system? Given: The mass of the water is 80 g. The initial temperature in the water is 20oC. The mass of the iron is 15 g. The initial temperature of the iron is 150oC. Step 2 Calculation: from the conservation of energy of the system. the heat gained by water = heat loss by water m1Cw(Tf−T1)=m2Ci(T2−Tf)m1CwTf-T1=m2CiT2-Tf Here, m1 is the mass of the water,Cw is the specific heat of water, T1 is the initial temperature of the water,m2 is the mass of the iron, T2 is the initial temperature of iron, Ci is the specific heat of the iron, and Tf is the final temperature of the system. Substitute, all known values in the above expression. (80 g)(4.184 J/g.°C)(Tf−20°C)Tf===(15 g)(0.45 J/g.°C)(150°C-Tf)7706.9341.4722.57°C
You take an aluminum cylinder with a mass m = (315± 2) g out of a furnace at temperature T = (250 ± 5)C °and place it in a large bath of cool water. The final 1 temperature of the cylinder and water is T2 = (29 ±1) C° . How much heat flows from the cylinder to the water, and what are the absolute and relative errors in the heat transfer out of the cylinder? The heat transfer is given by Q = mc T ∆where ∆T is the change in temperature and c = (0.215± 0.005)cal/g C is ⋅t°he specific heat of aluminum.
Water’s specific heat is 4.186 J/g·°C. A silicone fluid’s specific heat is 3.754 J/g·°C. Two 50 g quantities of the substances are heated with 75 J of heat energy. Which statement is true?A) The temperature of the two fluids increases by the same amountB) The temperature of the water increases more than the temperature of the silicone fluidC) The temperature of the silicone fluid increases more than the temperature of the waterD) There is not enough information to know the difference between the fluids’ rise in temperature
A. 1 kg of ice at 0°C is mixed with 3 kg of steam at 100°C in a thermally isolated container and allowed to reach thermal equilibrium. What is the final temperature of the resulting mixture? The latent heat of fusion is 80 cal/g and the latent heat of vaporization is 540 cal/g. The specific heat of water is 1.00 cal/g · K. The specific heat of both ice and steam is 0.5 cal/g · K° B. A skater spins with constant angular acceleration from rest to a final angular speed of 10.0 rev/s in 6.00 seconds. How many revolutions did she make in the first 6.00 seconds? C. A particle exhibiting simple harmonic motion has a velocity v(t) = 200 sin(50t) where v is in m/s. Its maximum velocity in m/s is _______. D. A container has 0.50 kg of ice at 0.00°C. A tube connected from a boiler et 0.100 kg of steam at 100.0°C inside the container. What is the temperature of the system when it has reached equilibrium? Assume that no heat is absorbed by the container.