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Calculate Final volume and temperature of piston

  • #1
18
0

Homework Statement


One cylinder in the diesel engine of a truck has an initial volume of 640 cm3. Air is admitted to the cylinder at 30°C and a pressure of 1.0 atm. The piston rod then does 500 J of work to rapidly compress the air. What are its final temperature and volume?

Homework Equations


I know that:
P1 • V1 / T1 = P2 • V2 / T2
Eth = W + Q
And I know that work is the integral of pressure in terms of volume, but I'm not sure how to find the final values based on what I'm given.

The Attempt at a Solution



I set up my equation as by converting everything to SI units, so:
P1 = 101325 Pa
V1 = 0.64 M3
T1 = 305.15 K

And I know that I should be able to find the final volume based on the work done, but I don't know how.
 

Answers and Replies

  • #2
Nidum
Science Advisor
Gold Member
2,990
848
What is the difference between an isothermal and an adiabatic compression process ?
Which compression process is used in your engine ?
How can you use this information to solve the problem ?
 
Last edited:

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