A 110 g copper sphere is heated by a flame so that it reaches the temperature of the flame. After that the sphere is put in an insulating container filled with 250 g water at a temperature of 12 "C. After some time the sphere and the water have a temperature of 35 °C. What temperature had the flame? Give the final formula for the temperature, then plug in the values and give the temperature in "C. Neglect mass and heat capacity of the container. Use heat capacity of Cu: 0.383 kJ/(kg K), heat capacity water: 4.19 kJ/(kg K)

A 110 g copper sphere is heated by a flame so that it reaches the temperature of the flame. After that the sphere is put in an insulating container filled with 250 g water at a temperature of 12 "C. After some time the sphere and the water have a temperature of 35 °C. What temperature had the flame? Give the final formula for the temperature, then plug in the values and give the temperature in "C. Neglect mass and heat capacity of the container. Use heat capacity of Cu: 0.383 kJ/(kg K), heat capacity water: 4.19 kJ/(kg K)

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 24PQ

See similar textbooks

Similar questions

On a hot day, the temperature of an 84500-L swimming pool increases by 1.35∘C. a. What is the net heat transfer, in joules, into the pool during this heating? Ignore any complications, such as loss of water by evaporation.
In 1986, a gargantuan iceberg broke away from the Ross Ice Shelf in Antarctica. It was approximately a rectangle 155 km long, 40.0 km wide, and 250 m thick. (a) What is the mass of this iceberg in kg, given that the density of ice is 917 kg/m3? Answer ____________ kg (NO scientific notation ONLY Real Number) (b) How much heat transfer (in joules) is needed to melt it? Answer ____________ J (NO scientific notation ONLY Real Number) (c) How many years would it take sunlight alone to melt ice this thick, if the ice absorbs an average of 100 W/m2, 11.00 h per day? Answer ____________ yr
The heat flux in an aluminum pan containing boiling water is 5 × 10^5 W/m2. The temperature of the surface of the pan in contact with boiling water is 119 °C. a) Determine the temperature gradient in the pan on this surface. b) Determine an equation for calculating the temperature of the surface that is not in contact with water as a function of the thickness of the pan. c) What will be the temperature on the surface that is not in contact with water if the thickness of the pan is 1.2 mm? What if it's 4.0 mm? d) Evaluating the results obtained in questions "a", "b" and "c", how does the thickness of the pan influence the temperature gradient?
A glass coffee pot has a 9.00 cm diameter circular bottom in contact with a heating element that keeps the coffee warm with a continuous 50.0-W heat input. (a) What is the temperature of the bottom of the pot, if it is 2.90 mm thick and the inside temperature is 67.8°C? The thermal conductivity of the pot is 0.84 J/(s · m · °C). *Answer in °C, please
A certain material has a thickness of 30 cm and a thermal conductivity of 0.04 W/m・ ◦C. At a particular instant in time, the temperature distribution with x, the distance from the left face, is T =150x2 −30x, where x is in meters. Calculate the heat-flow rates at x = 20 cm.
In an energy-efficient home, a solar collector is used to provide heat energy. If the solar system releases 42,000 cal of heat when it cools from 50 oC to 48 degrees C, what is the mass (kg) of water in the solar collector (specific heat = 1.00 cal / g x degree C)?
A 3.0 cm diameter spherical body has a temperature of 700°C that radiates as a perfect emitter. What is the rate in watts that the body radiates energy?
A “typical” human body has a surface area of about 1.9 m2 and a surface temperature of about 33oC (306K), a little cooler than the core temperature. If they are radiating heat at a rate of 804W, what is their emissivity? Do not actually solve the problem numerically or algebraically, just pick the one equation and define the relevant knowns and single unknown
A 0.500 kg aluminum pan on a stove is used to heat 0.250 liters of water from 20.0oC to 80.0oC. (a) How much heat is required? What percentage of the heat is used to raise the temperature of (b) the pan and (c) the water?
A Styrofoam box used to keep drinks cold at a picnic has a wall thickness of 9 cm. It’s filled with ice, water, and cans of cola at 0℃. a. What is the total wall area of the Styrofoam box if the rate of heat flow into the box is 9.5 J/s if the temperature of the outside wall is 38℃? b. How much ice melts in five hours?
A 158 cm long aluminum rod (thermal conductivity = 205 W/m-K) has a cross-section area of 1 cm2. If one end is kept in a steam bath and the other end in an ice-water mixture, what is the quantity of heat (in Joules) conducted by the rod in 4 days? Input only the numerical value of the answer.
The world's most active volcanoes, such as the Kilauea volcano in Hawaii, can disgorge about 5 ✕ 105 m3 of 1025°C lava per day. What is the rate of heat transfer out of the earth by convection if this lava has a density of 2523 kg/m3 and eventually cools to 32°C? Assume that the specific heat of lava is the same as that of granite (840 J/(kg · °C)).