Calculate the specific heat of a metal from the following data. A container made of the metal has a mass of 3.4 kg and contains 17 kg of water. A 2.0 kg piece of the metal initially at a temperature of 195°C is dropped into the water. The container and water initially have a temperature of 16.0°C, and the final temperature of the entire system is 18.0°C. Number i 0.098 Units °C

Calculate the specific heat of a metal from the following data. A container made of the metal has a mass of 3.4 kg and contains 17 kg of water. A 2.0 kg piece of the metal initially at a temperature of 195°C is dropped into the water. The container and water initially have a temperature of 16.0°C, and the final temperature of the entire system is 18.0°C. Number i 0.098 Units °C

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 65PQ

See similar textbooks

Similar questions

From Table 21.1, the specific heat of milk is 3.93 103 J/ (kg K). and the specific heat of water is 4.19 103 J/(kg K). Suppose you wish to make a large mug (0.500 L) of hot chocolate. Each liquid is initially at 5.00C. and you need to raise their temperature to 80.0C. The density of milk is about 1.03 103 kg/m3, and the density of water is 1.00 103 kg/m3. a. How much heat must be transferred in each case? b. If you use a small electric hot plate that puts out 455 W, how long would it take to heat each liquid?
(a) How much heat must be added to raise the temperature of 1.5 mol of air 25.0 to 33.0 at constant volume? Assume air is completely diatomic. (b) Repeat the problem for the same number of moles of xenon, Xe.
(a) Calculate the rate of heat conduction through a double-paned window that has a 150-m2 area and is made of two panes of 0.800 cm-thick glass separated by a 1.00 cm air gap. The inside surface temperature is 15.0 C, while that on the outside is 10.0 OC. (Hint: There are identical temperature drops across the two glass panes. First find these and then the temperature drop across the air gap. This problem ignores the increased heat transfer in the air gap due to convection.) (b) Calculate the rate of heat conduction through a 1.60-cm-thick window of the same area and with the same temperatures. Compare your answer with that for part (a).
(a) Calculate the rate of heat transfer by radiation from a car radiator at 110C into a 50.0C environment, if the radiator has an emissivity of 0.750 and a 1.20m2 surface area. (b) Is this a significant fraction of the heat transfer by an automobile engine? To answer this, assume a horsepower of 200 hp (1.5 kW) and the efficiency of automobile engines as 25%.
(a) An ideal gas expands adiabatically from a volume of 2.0103 m3 to 2.5103 m3. If the initial pressure and temperature 5.0105 Pa and 300 K, respectively, what are the final pressure and temperature of the gas? Use =5/3 for the gas. (b) In an isothermal process, an ideal gas expands from a of 2.0103 m3 to 2.5103 m3. If the initial pressure and temperature were 5.0105 Pa and 300 K, respectively, what are the final pressure and temperature of the gas?
Unreasonable 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?
A lake is covered with ice that is 2.0 cm thick. The temperature of the ambient air is 20C. Find the rate of thickening of ice. Assume the thermal conductivity of ice is 200.0 W/(m K), the density of ice is 9.0 102 kg/m3, and the latent heat of fusion is 3.33 105 J/kg.
In 1986, a gargantuan iceberg broke away from the Ross Ice Shelf in Antarctica. It was approximately a rectangle 160 km long, 40.0 km wide, and 250 m thick. (a) What is the mass of this iceberg, given that the density of ice is 917kg/m3 ? (b) How much heat transfer (in joules) is needed to melt it? (c) How many years would it take sunlight alone to melt ice this thick, if the ice absorbs an average of 100W/m2, 12.00 h per day?
(a) It is difficult to extinguish a fire on a crude oil tanker, because each liter of crude oil releases 2.80107 J of energy when burned. To illustrate this difficulty, calculate the number of liters of water that must be expended to absorb the energy released by burning 1.00 L of crude oil, if the water's temperature rises from 20.0 C to 100 C, it boils, and the resulting steam's temperature rises to 300 C at constant pressure. (b) Discuss additional complications caused by the fact that crude oil is less dense than water.
Case Study When a constant-volume thermometer is in thermal contact with a substance whose temperature is lower than the triple point of water, how does the right tube in Figure 19.22 need to be moved? Explain. FIGURE 19.22 1 Gas in the constant-volume gas thermometer is at Ti, and the mercury in the manometer is at height hi above the gasmercury boundary. 2 The thermometer is placed in thermal contact with an object, and its temperature increases. The increased temperature increases the gas volume. 3 By raising the right-hand tube of the mercury manometer, the gas volume is restored to its original size. The mercury is now at hi + h above the gasmercury boundary. This increase in height is a result of the increase in gas temperature and pressure.
A hollow aluminum cylinder 20.0 cm deep has an internal capacity of 2.000 L at 20.0C. It is completely filled with turpentine at 20.0C. The turpentine and the aluminum cylinder are then slowly warmed together to 80.0C. (a) How much turpentine overflows? (b) What is the volume of the turpentine remaining in the cylinder at 80.0C? (c) If the combination with this amount of turpentine is then cooled back to 20.0C, how far below the cylinders rim does the turpentines surface recede?