Calculate Final volume and temperature of piston

Click For Summary
SUMMARY

The discussion focuses on calculating the final volume and temperature of air in a diesel engine cylinder after performing 500 J of work on it. The initial conditions include a volume of 640 cm3 (0.64 m3), a temperature of 30°C (305.15 K), and a pressure of 1.0 atm (101325 Pa). The relevant equations include the ideal gas law (P1 • V1 / T1 = P2 • V2 / T2) and the first law of thermodynamics (Eth = W + Q). The user seeks clarification on the differences between isothermal and adiabatic processes to determine the appropriate method for solving the problem.

PREREQUISITES
  • Understanding of the ideal gas law and its application
  • Knowledge of the first law of thermodynamics
  • Familiarity with isothermal and adiabatic processes
  • Ability to convert units to SI standards
NEXT STEPS
  • Study the differences between isothermal and adiabatic processes in thermodynamics
  • Learn how to apply the ideal gas law to find final states of gases
  • Explore the implications of work done on gas systems in thermodynamic calculations
  • Review examples of similar problems involving work and gas compression
USEFUL FOR

Students studying thermodynamics, mechanical engineers, and anyone involved in the design or analysis of diesel engines and their performance characteristics.

Jamie_Pi
Messages
18
Reaction score
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.
 
Physics news on Phys.org
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:

Similar threads

Adiabatic Expansion of Pressurized Air in a Piston-Cylinder Setup
  • · Replies 8 ·
Replies
8
Views
2K
Gas temperature in a constant volume
  • · Replies 8 ·
Replies
8
Views
2K
Proof question related to the Ideal Gas Law
  • · Replies 8 ·
Replies
8
Views
2K
Insulated cylinder and compressing piston....
  • · Replies 12 ·
Replies
12
Views
2K
Volume ratio in an adiabatic gas expansion
  • · Replies 9 ·
Replies
9
Views
2K
Temperature Limits in Heat Conducting Piston Problem with Friction
  • · Replies 1 ·
Replies
1
Views
2K
Trouble solving for end state of two control volumes in a rigid tank
  • · Replies 12 ·
Replies
12
Views
3K
Mixing two gases in an isolated system and calculating final p and T
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad Why work is PdV and not (P+dP)dV in an isothermal process?
  • · Replies 6 ·
Replies
6
Views
1K
Calculate the change of temperature in terms of T
  • · Replies 4 ·
Replies
4
Views
5K