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The specific heat of an object can be measured by placing it in thermal contact with another object whose specific heat is known. As an example, suppose that a chunk of metal, whose mass is 0.21 kg, is immersed in boiling water (100 °C) until it reaches thermal equilibrium, at which time it has a temperature of 100 °C. The chunk of metal is then quickly transferred into a styrofoam (insulating) cup containing 0.18 kg of water at 20 °C. After a minute or so, the temperature of the contents of the cup stabilizes at 33 °C. Assume that once the metal is added to the cup the only energy transfer is between the hot metal and the colder water. In other words, there are no significant energy transfers to either the cup itself or to the surroundings. The specific heat of water in the relevant range of temperature is roughly 4.2 kJ kg 1 °c-1 Question: What is the specific heat of the metal (in units of kJ kg1 °C-1, but do not include units in your answer)? Hint: Solving this problem requires 4 steps: 1) Calculate the amount of heat gained by the water. 2) Use energy conservation to relate the heat gained by the water to the heat lost by the metal. This should determine the heat lost by the metal. 3) Use the heat lost by the metal and its temperature change to calculate the heat capacity of the metal. 4) Use the heat capacity of the metal and its mass to calculate the specific heat of the metal in SI units (kJ kg1 °C-1). Do not include units in your answer. Write your answer as a number in normal form as described in the instructions at the top of this worksheet.

The specific heat of an object can be measured by placing it in thermal contact with another object whose specific heat is known. As an example, suppose that a chunk of metal, whose mass is 0.21 kg, is immersed in boiling water (100 °C) until it reaches thermal equilibrium, at which time it has a temperature of 100 °C. The chunk of metal is then quickly transferred into a styrofoam (insulating) cup containing 0.18 kg of water at 20 °C. After a minute or so, the temperature of the contents of the cup stabilizes at 33 °C. Assume that once the metal is added to the cup the only energy transfer is between the hot metal and the colder water. In other words, there are no significant energy transfers to either the cup itself or to the surroundings. The specific heat of water in the relevant range of temperature is roughly 4.2 kJ kg 1 °c-1 Question: What is the specific heat of the metal (in units of kJ kg1 °C-1, but do not include units in your answer)? Hint: Solving this problem requires 4 steps: 1) Calculate the amount of heat gained by the water. 2) Use energy conservation to relate the heat gained by the water to the heat lost by the metal. This should determine the heat lost by the metal. 3) Use the heat lost by the metal and its temperature change to calculate the heat capacity of the metal. 4) Use the heat capacity of the metal and its mass to calculate the specific heat of the metal in SI units (kJ kg1 °C-1). Do not include units in your answer. Write your answer as a number in normal form as described in the instructions at the top of this worksheet.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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QUESTION 4 Situation: The specific heat of an object can be measured by placing it in thermal contact with another object whose specific heat is known. As an example, suppose that a chunk of metal, whose mass is 0.21 kg, is immersed in boiling water (100 °C) until it reaches thermal equilibrium, at which time it has a temperature of 100 °C. The chunk of metal is then quickly transferred into a styrofoam (insulating) cup containing 0.18 kg of water at 20 °C. After a minute or so, the temperature of the contents of the cup stabilizes at 33 °C. Assume that once the metal is added to the cup the only energy transfer is between the hot metal and the colder water. In other words, there are no significant energy transfers to either the cup itself or to the surroundings. The specific heat of water in the relevant range of temperature is roughly 4.2 kJ kg 1 °c-1, Question: What is the specific heat of the metal (in units of kJ kg1 °C-1, but do not include units in your answer)? Hint: Solving this problem requires 4 steps: 1) Calculate the amount of heat gained by the water. 2) Use energy conservation to relate the heat gained by the water to the heat lost by the metal. This should determine the heat lost by the metal. 3) Use the heat lost by the metal and its temperature change to calculate the heat capacity of the metal. 4) Use the heat capacity of the metal and its mass to calculate the specific heat of the metal in SI units (kJ kg1 °C1). Do not include units in your answer. Write your answer as a number in normal form as described in the instructions at the top of this worksheet. QUESTION 5 Click Save and Submit to save and submit. Click Save All Answers to save all answers. 22°F P Type here to search
Transcribed Image Text:QUESTION 4 Situation: The specific heat of an object can be measured by placing it in thermal contact with another object whose specific heat is known. As an example, suppose that a chunk of metal, whose mass is 0.21 kg, is immersed in boiling water (100 °C) until it reaches thermal equilibrium, at which time it has a temperature of 100 °C. The chunk of metal is then quickly transferred into a styrofoam (insulating) cup containing 0.18 kg of water at 20 °C. After a minute or so, the temperature of the contents of the cup stabilizes at 33 °C. Assume that once the metal is added to the cup the only energy transfer is between the hot metal and the colder water. In other words, there are no significant energy transfers to either the cup itself or to the surroundings. The specific heat of water in the relevant range of temperature is roughly 4.2 kJ kg 1 °c-1, Question: What is the specific heat of the metal (in units of kJ kg1 °C-1, but do not include units in your answer)? Hint: Solving this problem requires 4 steps: 1) Calculate the amount of heat gained by the water. 2) Use energy conservation to relate the heat gained by the water to the heat lost by the metal. This should determine the heat lost by the metal. 3) Use the heat lost by the metal and its temperature change to calculate the heat capacity of the metal. 4) Use the heat capacity of the metal and its mass to calculate the specific heat of the metal in SI units (kJ kg1 °C1). Do not include units in your answer. Write your answer as a number in normal form as described in the instructions at the top of this worksheet. QUESTION 5 Click Save and Submit to save and submit. Click Save All Answers to save all answers. 22°F P Type here to search
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