Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Question
![**Problem Statement:**
If a system is given 60 J of heat and lifts the lid of the container 3 m with a force of 5 N, what is the change in energy?
**Options:**
- 75 J
- 15 J
- 4 J
- 45 J
**Explanation:**
To find out the change in energy, we need to consider both the heat given to the system and the work done by the system in lifting the lid.
1. **Heat Added to the System (Q):** 60 J
2. **Work Done (W):**
Work is calculated using the formula:
\[
W = F \times d
\]
where \( F \) is the force and \( d \) is the distance.
\[
W = 5 \, \text{N} \times 3 \, \text{m} = 15 \, \text{J}
\]
3. **Change in Energy (ΔE):**
The change in energy is given by the first law of thermodynamics, which states:
\[
\Delta E = Q - W
\]
Substituting the given values:
\[
\Delta E = 60 \, \text{J} - 15 \, \text{J} = 45 \, \text{J}
\]
Therefore, the change in energy is 45 J.
Based on the given options, the correct answer is:
- 45 J](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9cb94819-1a07-4759-acce-f74a7dc351e2%2F4aec437c-48af-41c7-80f3-aafd906c98fb%2Fpoxfk4d_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
If a system is given 60 J of heat and lifts the lid of the container 3 m with a force of 5 N, what is the change in energy?
**Options:**
- 75 J
- 15 J
- 4 J
- 45 J
**Explanation:**
To find out the change in energy, we need to consider both the heat given to the system and the work done by the system in lifting the lid.
1. **Heat Added to the System (Q):** 60 J
2. **Work Done (W):**
Work is calculated using the formula:
\[
W = F \times d
\]
where \( F \) is the force and \( d \) is the distance.
\[
W = 5 \, \text{N} \times 3 \, \text{m} = 15 \, \text{J}
\]
3. **Change in Energy (ΔE):**
The change in energy is given by the first law of thermodynamics, which states:
\[
\Delta E = Q - W
\]
Substituting the given values:
\[
\Delta E = 60 \, \text{J} - 15 \, \text{J} = 45 \, \text{J}
\]
Therefore, the change in energy is 45 J.
Based on the given options, the correct answer is:
- 45 J
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