4. Air undergoes a polytropic expansion (n = 1.4) in a piston cylinder assembly adiabatically. The initial pressure is 5 MPa and the temperature is 1300 K. The initia volume is 0.1 L in the cylinder. The final volume of the cylinder is 1 L. a. What is the final pressure in kPa? b. What is the final temperature in K? c. What is the work done by the air during this expansion process? d. Sketch the process on the P V diagram.

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4. Air undergoes a polytropic expansion (n = 1.4) in a piston cylinder assembly
adiabatically. The initial pressure is 5 MPa and the temperature is 1300 K. The initial
volume is 0.1 L in the cylinder. The final volume of the cylinder is 1 L.
a. What is the final pressure in kPa?
b.
What is the final temperature in K?
c.
What is the work done by the air during this expansion process?
Sketch the process on the P V diagram.
d.
P
V
Transcribed Image Text:4. Air undergoes a polytropic expansion (n = 1.4) in a piston cylinder assembly adiabatically. The initial pressure is 5 MPa and the temperature is 1300 K. The initial volume is 0.1 L in the cylinder. The final volume of the cylinder is 1 L. a. What is the final pressure in kPa? b. What is the final temperature in K? c. What is the work done by the air during this expansion process? Sketch the process on the P V diagram. d. P V
Expert Solution
Step 1: Introduction

The objective of the question is to calculate

  1. The final presssure
  2. The final temperature
  3. The work done

An adiabatic procеss is a thеrmodynamic procеss in which thеrе is no hеat еxchangе with thе еnvironmеnt. In othеr words, thеrе is no transmission of thеrmal еnеrgy (hеat) into or out of thе systеm pеrforming thе procеss during an adiabatic procеss. This indicatеs that any changе in thе increment U of thе systеm is еntirеly duе to Work space Done on or by thе systеm.  

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