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, T₂=900K, V₂=0.3m³. The gas is an ideal gas. 2 (6) What's the boundary work against spring W b-s P1, V1, T1 P2, V2, T2 in kJ?

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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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.

(6) What's the boundary work against spring  _____in kJ?

 

 

**Educational Content on Piston-Cylinder Device**

A spring-loaded piston-cylinder device contains carbon dioxide with a mass of \( m = 1 \, \text{kg} \). Initially, the spring exerts no force on the piston. The initial conditions are as follows:
- Pressure: \( P_1 = 500 \, \text{kPa} \)
- Temperature: \( T_1 = 150 \, \text{K} \)
- Volume: \( V_1 = 0.1 \, \text{m}^3 \)

Heat is transferred to the gas, causing the piston to rise and compress the spring. At state 2, the conditions are:
- Temperature: \( T_2 = 900 \, \text{K} \)
- Volume: \( V_2 = 0.3 \, \text{m}^3 \)

The gas is ideal.

**Question:**

(6) What's the boundary work against the spring \( W_{b-s} \) in kJ?

**Diagrams:**

1. **Diagram 1:** Shows the initial state of the piston-cylinder (State 1), labeled with \( P_1, V_1, T_1 \). The spring is uncompressed.

2. **Diagram 2:** Represents the state after heat addition (State 2), labeled with \( P_2, V_2, T_2 \). The spring is compressed.

The images illustrate the process of heating the gas, which causes the piston to move, compressing the spring in the cylinder.
Transcribed Image Text:**Educational Content on Piston-Cylinder Device** A spring-loaded piston-cylinder device contains carbon dioxide with a mass of \( m = 1 \, \text{kg} \). Initially, the spring exerts no force on the piston. The initial conditions are as follows: - Pressure: \( P_1 = 500 \, \text{kPa} \) - Temperature: \( T_1 = 150 \, \text{K} \) - Volume: \( V_1 = 0.1 \, \text{m}^3 \) Heat is transferred to the gas, causing the piston to rise and compress the spring. At state 2, the conditions are: - Temperature: \( T_2 = 900 \, \text{K} \) - Volume: \( V_2 = 0.3 \, \text{m}^3 \) The gas is ideal. **Question:** (6) What's the boundary work against the spring \( W_{b-s} \) in kJ? **Diagrams:** 1. **Diagram 1:** Shows the initial state of the piston-cylinder (State 1), labeled with \( P_1, V_1, T_1 \). The spring is uncompressed. 2. **Diagram 2:** Represents the state after heat addition (State 2), labeled with \( P_2, V_2, T_2 \). The spring is compressed. The images illustrate the process of heating the gas, which causes the piston to move, compressing the spring in the cylinder.
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