1. The gas cylinder and piston are covered with heavy insulation to prevent thermal energy from exchanging between the gas and the outside environment. The piston is pushed into the cylinder, compressing the gas. The system is the gas Insulation Determine the sign of W, Q, AEh and AT for the gas. Enter a “+", "_" or "0" for each value. Ar W Q AEth ΔΤ
1. The gas cylinder and piston are covered with heavy insulation to prevent thermal energy from exchanging between the gas and the outside environment. The piston is pushed into the cylinder, compressing the gas. The system is the gas Insulation Determine the sign of W, Q, AEh and AT for the gas. Enter a “+", "_" or "0" for each value. Ar W Q AEth ΔΤ
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*Note: Add an appropriate image URL in the place of image_url if conveying this on a website.*
**Explanation of the Diagram:**
- **Insulation:** A layer marked around the gas container to indicate that the system is thermally isolated from the environment.
- **Piston:** A movable component within the cylinder.
- **Force (F):** A force applied to move the piston.
- **Δr:** The change in position of the piston indicating it is compressing the gas.
**Determination of Physical Quantities:**
Determine the sign of \( W \) (work), \( Q \) (heat transfer), \( \Delta E_{th} \) (change in thermal energy), and \( \Delta T \) (change in temperature) for the gas. Enter a "+", "-", or "0" for each value:
| W | Q | \( \Delta E_{th} \) | \( \Delta T \) |
|:----:|:----:|:--------:|:-------:|
| __ | __ | __ | __ |
**Guidance for Solving:**
1. **Work (W):**
- When the piston is pushed into the cylinder, work is done on the gas. Therefore, \( W \) is positive.
2. **Heat Transfer (Q):**
- Since the system is insulated, there is no heat exchange with the surroundings. Therefore, \( Q \) is zero.
3. **Change in Thermal Energy (\( \Delta E_{th} \)):**
- Compressing a gas increases its internal energy due to work done on it. Hence, \( \Delta E_{th} \) is positive.
4. **Change in Temperature (\( \Delta T \)):**
- As the internal energy increases, the temperature of the gas also increases. Therefore, \( \Delta T \) is positive.
Hence, the table can be filled as follows:
| W | Q |](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe0a6cd48-f835-40c9-801b-cc7ae68f01ed%2F9c93119a-02e1-4082-b47b-f1270373165d%2F10cz8qw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Thermodynamics: Compression of a Gas in an Insulated Cylinder
**Scenario:**
1. The gas cylinder and piston are covered with heavy insulation to prevent thermal energy from exchanging between the gas and the outside environment. The piston is pushed into the cylinder, compressing the gas. The system is the gas.
*Note: Add an appropriate image URL in the place of image_url if conveying this on a website.*
**Explanation of the Diagram:**
- **Insulation:** A layer marked around the gas container to indicate that the system is thermally isolated from the environment.
- **Piston:** A movable component within the cylinder.
- **Force (F):** A force applied to move the piston.
- **Δr:** The change in position of the piston indicating it is compressing the gas.
**Determination of Physical Quantities:**
Determine the sign of \( W \) (work), \( Q \) (heat transfer), \( \Delta E_{th} \) (change in thermal energy), and \( \Delta T \) (change in temperature) for the gas. Enter a "+", "-", or "0" for each value:
| W | Q | \( \Delta E_{th} \) | \( \Delta T \) |
|:----:|:----:|:--------:|:-------:|
| __ | __ | __ | __ |
**Guidance for Solving:**
1. **Work (W):**
- When the piston is pushed into the cylinder, work is done on the gas. Therefore, \( W \) is positive.
2. **Heat Transfer (Q):**
- Since the system is insulated, there is no heat exchange with the surroundings. Therefore, \( Q \) is zero.
3. **Change in Thermal Energy (\( \Delta E_{th} \)):**
- Compressing a gas increases its internal energy due to work done on it. Hence, \( \Delta E_{th} \) is positive.
4. **Change in Temperature (\( \Delta T \)):**
- As the internal energy increases, the temperature of the gas also increases. Therefore, \( \Delta T \) is positive.
Hence, the table can be filled as follows:
| W | Q |
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