You recently bought an aluminum (C = 0.9 J/g-K) kettle with a mass of 2 kg. You used the kettle to heat water (C = 4.184 J/g-K). The kettle contains water (1.5 kg). The kettle was heated using an induction stove from 20°C to 85°C. The water is then used for coffee. If no heat is lost to the surroundings, what is the total heat added to raise the temperature?

You recently bought an aluminum (C = 0.9 J/g-K) kettle with a mass of 2 kg. You used the kettle to heat water (C = 4.184 J/g-K). The kettle contains water (1.5 kg). The kettle was heated using an induction stove from 20°C to 85°C. The water is then used for coffee. If no heat is lost to the surroundings, what is the total heat added to raise the temperature?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter17: Energy In Thermal Processes: The First Law Of Thermodynamics

Section: Chapter Questions

Problem 8OQ

See similar textbooks

Similar questions

Beryllium 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 2C
The surface area of an unclothed person is 1.50 m2, and his skin temperature is 33.0C. The person is located in a dark room with a temperature of 20.0C, and the emissivity of the skin is e = 0.95. (a) At what rate is energy radiated by the body? (b) What is the significance of the sign of your answer?
A 0.250-kg aluminum bowl holding 0.800 kg of soup at 25.0°C is placed in a freezer. What is the final temperature if 430 kJ of energy is transferred from the bowl and soup? Assume the soup has the same thermal properties as that of water, the specific heat of the liquid soup is 1.00 kcal/(kg · °C), frozen soup is 0.500 kcal/(kg · °C), and the latent heat of fusion is 79.8 kcal/kg. The specific heat of aluminum is 0.215 kcal/(kg · °C).
A 0.250-kg aluminum bowl holding 0.800 kg of soup at 28.0°C is placed in a freezer. What is the final temperature if 430 kJ of energy is transferred from the bowl and soup? Assume the soup has the same thermal properties as that of water, the specific heat of the liquid soup is 1.00 kcal/(kg · °C), frozen soup is 0.500 kcal/(kg · °C), and the latent heat of fusion is 79.8 kcal/kg. The specific heat of aluminum is 0.215 kcal/(kg · °C). °C
A silver kettle weighs 1.07 kg. (The specific heat of silver is 0.235 J/g·°C) (a) What is the heat capacity (in J/°C) of the kettle? _____ J/°C (b) How much heat (in J) is required to increase the temperature of this kettle from 20.5°C to 98.7°C? _____ J (c) How much heat (in J) is required to heat this kettle from 20.5°C to 98.7°C if it contains 1.03 L of water (density of 0.997 g/mL and a specific heat of 4.18 J/g·°C across the temperature range)? _____ J
A 1020 cm X 1120 cm house is built on a 15.2 cm thick concrete slab of thermal conductivity 0.64 W/m.K.. If the ground temperature of the slab is 7.3°C while the interior of the house is 21°C. (a*1)+ (b*1.5)+(c*2.5) = Calculate the following: a) The temperature difference in kelvin b) The temperature gradient (AT/Ax) in kelvin/metre c) The heat loss rate through the concrete slab in kilowatt
A cubical piece of heat-shield-tile from the space shuttle measures 0.13 m on a side and has a thermal conductivity of 0.065 J/(s·m·C°). The outer surface of the tile is heated to a temperature of 1070°C, while the inner surface is maintained at a temperature of 24°C. (a) How much heat flows from the outer to the inner surface of the tile in 4.0 minutes? (b) If this amount of heat were transferred to 2.6 liters (2.6 kg) of liquid water, by how many Celsius degrees would the temperature of the water rise?
What is the rate of heat transfer by radiation, with an unclothed person standing in a dark room whose ambient temperature is 22.0C. The person has a normal skin temperature of 33.0C and a surface area of 1.50 m2. The emissivity of skin is 0.97 in the infrared, where the radiation takes place.
A 640 cm X 1160 cm house is built on a 15.2 cm thick concrete slab of thermal conductivity 0.7 W/m.K.. If the ground temperature of the slab is 5.5ºC while the interior of the house is 22.5ºC. Calculate the following:a) The temperature difference in kelvin .b) The temperature gradient (ΔT/Δx) in kelvin/metre .c) The heat loss rate through the concrete slab in kilowatt
A common practice for a person with a high fever is to take a bath in cool water. Assuming an 80 kg person is really ill and needs to cool down from 40°C to 37°C. What is the minimum amount of water needed for bathing assuming the water begins at room temperature, 25°C? The specific heat of the body on average is 3470 J/kg°C and water is 4186 J/kg°C. 16.6 kg 212.2 kg 200 kg 19.8 kg
A 0.867 kg sample of ethanol is in its liquid state at its boiling temperature of 78 C. If 1.93e5 J of energy are transferred into the sample, what percentage of the sample is vaporized? ethanol has: a specific heat of 1000 J/kgK in solid form, a specific heat of 2010 J/kgK in liquid form, a freezing temperature of –114 C a boiling temperature of 78 C, a latent heat of fusion of 1.05e5 J/kg, and a latent heat of vaporization of 8.54e5 J/kg
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?