1. Air undergoes a polytropic expansion in a piston cylinder assembly. The initial temperature of the air is 800 K and the pressure is 2 MPa. The initial volume is 0.1 L in the cylinder. The final volume of the cylinder is 0.8 L. The final pressure is 100 kPa. a. What is the polytropic coefficient, n? b. What is the final temperature in K? c. What is the work done by the air on the piston cylinder assembly during this process in J? d. What is the heat transfer that takes place during this process in J? 1 V

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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**Polytropic Process in a Piston Cylinder Assembly**

1. **Problem Description:**
   Air undergoes a polytropic expansion in a piston-cylinder assembly. The initial conditions are:
   - Temperature: 800 K
   - Pressure: 2 MPa
   - Volume: 0.1 L

   The final conditions are:
   - Volume: 0.8 L
   - Pressure: 100 kPa

   **Tasks:**
   a. Determine the polytropic coefficient, \( n \).
   
   b. Calculate the final temperature in Kelvin (K).
   
   c. Compute the work done by the air on the piston-cylinder assembly during this process, expressed in Joules (J).
   
   d. Calculate the heat transfer that occurs during this process, also in Joules (J).

2. **Graph Description:**
   - A graph is provided with Pressure (P) on the vertical axis and Volume (V) on the horizontal axis.
   - The graph displays a curve starting at point 1, which moves downwards to the right to point 2. 
   - This indicates a polytropic process with an expansion as both the pressure decreases and the volume increases.

This scenario involves the application of the polytropic process equation and energy balance equations to solve for the unknowns.
Transcribed Image Text:**Polytropic Process in a Piston Cylinder Assembly** 1. **Problem Description:** Air undergoes a polytropic expansion in a piston-cylinder assembly. The initial conditions are: - Temperature: 800 K - Pressure: 2 MPa - Volume: 0.1 L The final conditions are: - Volume: 0.8 L - Pressure: 100 kPa **Tasks:** a. Determine the polytropic coefficient, \( n \). b. Calculate the final temperature in Kelvin (K). c. Compute the work done by the air on the piston-cylinder assembly during this process, expressed in Joules (J). d. Calculate the heat transfer that occurs during this process, also in Joules (J). 2. **Graph Description:** - A graph is provided with Pressure (P) on the vertical axis and Volume (V) on the horizontal axis. - The graph displays a curve starting at point 1, which moves downwards to the right to point 2. - This indicates a polytropic process with an expansion as both the pressure decreases and the volume increases. This scenario involves the application of the polytropic process equation and energy balance equations to solve for the unknowns.
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