Fill in the table below for a system that does 98 kJ of work on the surroundings and overall absorbs 225 kJ of internal energy. NOTE: You will use the table as follows: If you decided that a value should be -10 kJ. You would select "- (Negative)" in the Sign column and "10" in the Value (in kJ) column. Value (in kJ) Sign 225 + (Positive) Heat kJ 98 Work - (Negative) kJ 127 + (Positive) Internal Energy kJ

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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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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**Educational Content: Understanding Thermodynamic Work and Energy**

In this exercise, we are exploring the concepts of work, heat, and internal energy within a thermodynamic system. 

The task is to fill in a table with values that describe the energy changes in a system that does 98 kJ of work on its surroundings while absorbing 225 kJ of internal energy.

### Table Explanation:

- **Heat**: 
  - **Sign**: `+ (Positive)` 
  - **Value (in kJ)**: `225`
- **Work**:
  - **Sign**: `- (Negative)`
  - **Value (in kJ)**: `98`
- **Internal Energy**:
  - **Sign**: `+ (Positive)`
  - **Value (in kJ)**: `127`

### Concepts:

- **Heat (q)**: The energy transferred to the system. A positive sign indicates that the system gains heat.
- **Work (w)**: The energy transferred from the system to its surroundings. A negative sign implies that the system is doing work on the surroundings.
- **Internal Energy Change (ΔU)**: This is calculated using the first law of thermodynamics: 
  \[
  \Delta U = q - w
  \]
  Given the heat absorbed (225 kJ) and the work done (-98 kJ), the change in internal energy is calculated as:
  \[
  \Delta U = 225 \, \text{kJ} - 98 \, \text{kJ} = 127 \, \text{kJ}
  \]

This example illustrates how energy is conserved within a system, demonstrating the basic principles of thermodynamics.
Transcribed Image Text:**Educational Content: Understanding Thermodynamic Work and Energy** In this exercise, we are exploring the concepts of work, heat, and internal energy within a thermodynamic system. The task is to fill in a table with values that describe the energy changes in a system that does 98 kJ of work on its surroundings while absorbing 225 kJ of internal energy. ### Table Explanation: - **Heat**: - **Sign**: `+ (Positive)` - **Value (in kJ)**: `225` - **Work**: - **Sign**: `- (Negative)` - **Value (in kJ)**: `98` - **Internal Energy**: - **Sign**: `+ (Positive)` - **Value (in kJ)**: `127` ### Concepts: - **Heat (q)**: The energy transferred to the system. A positive sign indicates that the system gains heat. - **Work (w)**: The energy transferred from the system to its surroundings. A negative sign implies that the system is doing work on the surroundings. - **Internal Energy Change (ΔU)**: This is calculated using the first law of thermodynamics: \[ \Delta U = q - w \] Given the heat absorbed (225 kJ) and the work done (-98 kJ), the change in internal energy is calculated as: \[ \Delta U = 225 \, \text{kJ} - 98 \, \text{kJ} = 127 \, \text{kJ} \] This example illustrates how energy is conserved within a system, demonstrating the basic principles of thermodynamics.
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