Introductory Chemistry: An Active Learning Approach
Introductory Chemistry: An Active Learning Approach
6th Edition
ISBN: 9781305079250
Author: Mark S. Cracolice, Ed Peters
Publisher: Cengage Learning
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Chapter 15, Problem 97E
Interpretation Introduction

Interpretation:

The amount of heat required to raise the temperature of an alloy from 26°C to 339°C is to be calculated.

Concept introduction:

The amount of energy required to change the state of a substance is known as enthalpy. It is the different in the energy of final and initial state of a substance. The negative and positive sign of enthalpy indicates the energy released and energy absorbed, respectively, during the phase change.

Expert Solution & Answer
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Answer to Problem 97E

The amount of heat required to raise the temperature of an alloy from 26°C to 339°C is 1.02×105kJ.

Explanation of Solution

The amount of heat required to raise the temperature of an alloy from 26°C to 264°C is calculated by the formula shown below.

q1=mc(T2T1)…(1)

Where,

m is the mass of the sample.

c is the specific heat of an alloy.

T2 is the final temperature (264°C).

T1 is the initial temperature (26°C).

The specific heat of an alloy (solid) is 0.27J/g°C.

Substitute the mass, final, initial temperature and specific heat of an alloy in equation (1).

q1=941×103g×0.27J/g°C(264°C(26°C))=6.0×107J

The amount of energy required for phase transformation is calculated by the formula shown below.

q2=mΔHfus…(2)

Where,

ΔHfus is the heat of fusion.

The heat of fusion of an alloy is 29J/g.

Substitute the mass and heat of fusion in equation (2).

q2=941×103g×29J/g=2.7×107J

The amount of heat required to raise the temperature of an alloy from 264°C to 339°C is calculated by the formula shown below.

q3=mc(T2T1)…(3)

Where,

m is the mass of the sample.

c is the specific heat of n-pentane.

T2 is the final temperature (339°C).

T1 is the initial temperature (264°C).

The specific heat of an alloy (liquid) is 0.21J/g°C.

Substitute the mass, final, initial temperature and specific heat of an alloy in equation (3).

q3=941×103g×0.21J/g°C(339°C(264°C))=1.5×107J

The total amount of energy sample gained when temperature is changed from 26°C to 339°C is shown below.

q=q1+q2+q3=6.0×107J+2.7×107J+1.5×107J=1.02×108J

Convert 1.02×108J to kJ.

1.02×108J=1.02×1081000kJ=1.02×105kJ

Conclusion

The amount of heat required to raise the temperature of an alloy from 26°C to 339°C is 1.02×105kJ.

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Chapter 15 Solutions

Introductory Chemistry: An Active Learning Approach

Ch. 15 - Prob. 11ECh. 15 - Prob. 12ECh. 15 - Prob. 13ECh. 15 - Prob. 14ECh. 15 - Prob. 15ECh. 15 - Prob. 16ECh. 15 - Prob. 17ECh. 15 - Prob. 18ECh. 15 - Prob. 19ECh. 15 - Prob. 20ECh. 15 - Prob. 21ECh. 15 - Prob. 22ECh. 15 - Prob. 23ECh. 15 - Prob. 24ECh. 15 - Prob. 25ECh. 15 - Prob. 26ECh. 15 - Prob. 27ECh. 15 - Prob. 28ECh. 15 - Prob. 29ECh. 15 - Prob. 30ECh. 15 - Prob. 31ECh. 15 - Prob. 32ECh. 15 - Prob. 33ECh. 15 - Prob. 34ECh. 15 - Prob. 35ECh. 15 - Prob. 36ECh. 15 - Prob. 37ECh. 15 - Prob. 38ECh. 15 - Prob. 39ECh. 15 - Prob. 40ECh. 15 - Predict which compound, CO2 or CS2, has the higher...Ch. 15 - Prob. 42ECh. 15 - Predict which compound, CH4 or CH3F, has the...Ch. 15 - Prob. 44ECh. 15 - Prob. 45ECh. 15 - Prob. 46ECh. 15 - Prob. 47ECh. 15 - Use the following vapor pressure data to answer...Ch. 15 - Prob. 49ECh. 15 - Prob. 50ECh. 15 - Prob. 51ECh. 15 - Prob. 52ECh. 15 - Prob. 53ECh. 15 - Prob. 54ECh. 15 - Prob. 55ECh. 15 - The molar heat of vaporization of substance X is...Ch. 15 - Prob. 57ECh. 15 - Prob. 58ECh. 15 - Prob. 59ECh. 15 - Prob. 60ECh. 15 - Prob. 61ECh. 15 - Prob. 62ECh. 15 - Prob. 63ECh. 15 - Prob. 64ECh. 15 - Prob. 65ECh. 15 - Prob. 66ECh. 15 - Prob. 67ECh. 15 - Prob. 68ECh. 15 - Prob. 69ECh. 15 - Prob. 70ECh. 15 - Prob. 71ECh. 15 - Prob. 72ECh. 15 - Prob. 73ECh. 15 - Prob. 74ECh. 15 - Prob. 75ECh. 15 - Prob. 76ECh. 15 - Find the quantity of energy released in joules as...Ch. 15 - Prob. 78ECh. 15 - Prob. 79ECh. 15 - What is the energy change when the temperature of...Ch. 15 - Prob. 81ECh. 15 - Prob. 82ECh. 15 - Prob. 83ECh. 15 - Prob. 84ECh. 15 - Prob. 85ECh. 15 - Prob. 86ECh. 15 - Prob. 87ECh. 15 - Prob. 88ECh. 15 - Prob. 89ECh. 15 - Prob. 90ECh. 15 - Prob. 91ECh. 15 - Prob. 92ECh. 15 - Prob. 93ECh. 15 - The following information is given for n-pentane...Ch. 15 - Prob. 95ECh. 15 - Prob. 96ECh. 15 - Prob. 97ECh. 15 - The following information is given for bismuth at...Ch. 15 - Prob. 99ECh. 15 - Classify each of the following statements as true...Ch. 15 - Prob. 101ECh. 15 - Prob. 102ECh. 15 - Prob. 103ECh. 15 - Prob. 104ECh. 15 - Prob. 105ECh. 15 - Prob. 106ECh. 15 - Prob. 107ECh. 15 - Prob. 108ECh. 15 - A calorimeter contains 72.0g of water at 19.2C. A...Ch. 15 - Prob. 110ECh. 15 - Prob. 111ECh. 15 - Prob. 112ECh. 15 - Prob. 113ECh. 15 - It is a hot summer day, and Chris wants a glass of...Ch. 15 - Prob. 15.1TCCh. 15 - Prob. 15.2TCCh. 15 - Prob. 15.3TCCh. 15 - Prob. 15.4TCCh. 15 - Prob. 15.5TCCh. 15 - Prob. 15.6TCCh. 15 - Prob. 15.7TCCh. 15 - Prob. 15.8TCCh. 15 - Prob. 1CLECh. 15 - Prob. 2CLECh. 15 - Prob. 3CLECh. 15 - Prob. 4CLECh. 15 - Prob. 5CLECh. 15 - Prob. 6CLECh. 15 - Prob. 7CLECh. 15 - Prob. 1PECh. 15 - Prob. 2PECh. 15 - Prob. 3PECh. 15 - Prob. 4PECh. 15 - Prob. 5PECh. 15 - Prob. 6PECh. 15 - Prob. 7PECh. 15 - Prob. 8PE
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