A spring-loaded piston-cylinder device contains of m=1kg carbon dioxide. Initially, the spring has no force on the piston and P₁=500kPa, T₁= = 150K, V₁ = 0.1m³. Heat is transferred to the gas, causing the piston to rise and to compress the spring. At the state 2, T₁=900K, V₂=0.3m³. The gas is 2 2 an ideal gas. (11) Calculate the heat transferred into the system Q in in kJ?

Elements Of Electromagnetics
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A spring-loaded piston-cylinder device contains  of m=1kg carbon dioxide. Initially, the spring has no force on the piston and , , . Heat is transferred to the gas, causing the piston to rise and to compress the spring. At the state 2,  , . The gas is an ideal gas.

(11) Calculate the heat transferred into the system _________in kJ?

A spring-loaded piston-cylinder device contains \( m = 1 \, \text{kg} \) of carbon dioxide. Initially, the spring has no force on the piston, and:

- \( P_1 = 500 \, \text{kPa} \)
- \( T_1 = 150 \, \text{K} \)
- \( V_1 = 0.1 \, \text{m}^3 \)

Heat is transferred to the gas, causing the piston to rise and compress the spring. At state 2:

- \( T_2 = 900 \, \text{K} \)
- \( V_2 = 0.3 \, \text{m}^3 \)

The gas is considered an ideal gas.

**Question (11):** Calculate the heat transferred into the system \( Q_{\text{in}} \) in kJ?

---

**Diagrams:**

1. **Left Diagram:** Depicts the initial state of the piston-cylinder:
   - Labels: \( P_1, V_1, T_1 \)
   - The spring is uncompressed.
   - Shows the initial conditions of the gas.

2. **Right Diagram:** Depicts the state when the piston has moved:
   - Labels: \( P_2, V_2, T_2 \)
   - The spring is compressed, indicating that work has been done by the gas.

The diagrams illustrate the process of the gas compressing the spring as it expands from state 1 to state 2.
Transcribed Image Text:A spring-loaded piston-cylinder device contains \( m = 1 \, \text{kg} \) of carbon dioxide. Initially, the spring has no force on the piston, and: - \( P_1 = 500 \, \text{kPa} \) - \( T_1 = 150 \, \text{K} \) - \( V_1 = 0.1 \, \text{m}^3 \) Heat is transferred to the gas, causing the piston to rise and compress the spring. At state 2: - \( T_2 = 900 \, \text{K} \) - \( V_2 = 0.3 \, \text{m}^3 \) The gas is considered an ideal gas. **Question (11):** Calculate the heat transferred into the system \( Q_{\text{in}} \) in kJ? --- **Diagrams:** 1. **Left Diagram:** Depicts the initial state of the piston-cylinder: - Labels: \( P_1, V_1, T_1 \) - The spring is uncompressed. - Shows the initial conditions of the gas. 2. **Right Diagram:** Depicts the state when the piston has moved: - Labels: \( P_2, V_2, T_2 \) - The spring is compressed, indicating that work has been done by the gas. The diagrams illustrate the process of the gas compressing the spring as it expands from state 1 to state 2.
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