Calculate Work Done by Ideal Gas

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SUMMARY

The discussion focuses on calculating the work done by an ideal gas during a two-step process involving cooling and expansion. Initially, 1 mole of gas at 9 atm and 1 L is cooled to 1 atm at constant volume, followed by expansion to 7 L at constant pressure. The work done during the expansion is calculated using the formula W = PΔV, with necessary unit conversions from atm to Pa and liters to cubic meters for accurate results.

PREREQUISITES
  • Understanding of the Ideal Gas Law
  • Knowledge of thermodynamic processes (constant volume and constant pressure)
  • Familiarity with unit conversions (atm to Pa, liters to cubic meters)
  • Ability to apply the work formula W = PΔV
NEXT STEPS
  • Study the Ideal Gas Law and its applications in thermodynamics
  • Learn about thermodynamic processes and their implications on gas behavior
  • Explore unit conversion techniques for pressure and volume in physics
  • Practice calculating work done in various thermodynamic scenarios
USEFUL FOR

This discussion is beneficial for students studying thermodynamics, physics enthusiasts, and anyone involved in engineering or scientific calculations related to gas behavior and work done in thermodynamic processes.

notsam
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Homework Statement

1 mole of an ideal gas is at 9 atm pressure,
occupies 1 L and has an internal energy of
474 J. The gas is first cooled at constant
volume until its pressure is 1 atm. It is then
allowed to expand at constant pressure until
its volume is 7 L with an internal energy of
766 J.
Calculate the work done by the gas.
Answer in units of J.



Homework Equations

W=pv+p2v2



The Attempt at a Solution

So I'm thinking that the work will equal the preassure times the volume change plus the next preassure times the volume change to give me the total work in J. Yes?
 
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notsam said:

Homework Statement

1 mole of an ideal gas is at 9 atm pressure,
occupies 1 L and has an internal energy of
474 J. The gas is first cooled at constant
volume until its pressure is 1 atm. It is then
allowed to expand at constant pressure until
its volume is 7 L with an internal energy of
766 J.
Calculate the work done by the gas.
Answer in units of J.
Since the expansion is at constant pressure, [itex]W = P\Delta V[/itex]. Be careful in converting units (atm. must be converted to Pa or N/m; litres to m^3). You are given the change in volume and the pressure so it should not be difficult.

AM
 

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