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?

Chemistry
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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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**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
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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