Ideal Gas Expansion: Reversible Process Calc.

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Discussion Overview

The discussion revolves around the calculation of various thermodynamic properties during the reversible expansion of one mole of an ideal gas. Participants are engaged in determining the final temperature, pressure, and changes in internal energy, enthalpy, heat, and work associated with the process.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant presents the initial conditions of the gas and the equation governing the pressure during expansion.
  • Another participant encourages the original poster to show their work to facilitate guidance.
  • There is a reference to the ideal gas law (PV=nRT) as a basis for calculating the initial temperature T1.
  • Participants discuss the need to calculate the final pressure P2 using the provided pressure equation.
  • One participant confirms the calculation of T1 and expresses readiness to find T2 after determining P2.

Areas of Agreement / Disagreement

The discussion appears to be collaborative, with participants agreeing on the need to calculate P2 before proceeding to find T2. However, specific calculations and methods have not been fully resolved, indicating ongoing exploration.

Contextual Notes

Limitations include the need for clarity on the assumptions made in the calculations, particularly regarding the ideal gas behavior and the specific path of expansion.

Who May Find This Useful

Students and enthusiasts of thermodynamics, particularly those interested in ideal gas behavior and reversible processes.

nancy awwad
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One mole of an ideal gas having CV = 25.0 J.K−1 is in a volume V1 = 28.0 L at P1 =
1.00 bar. It is expanded reversibly along a path given by P = P1 − 0.005000(V − V1) to
a final volume V2 = 100.0 L. Calculate the final temperature T2 and the values of q,
w, ΔE, ΔH for this change in state.
 
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Welcome to PF, nancy_awwad! :smile:

It would help if you would show some of what you tried.
Then we could better point you in the right way.

Let's start with P2.
Can you calculate it from the formula you already have?
 
we already know that PV=nRT then i ve calculated T1
 
nancy awwad said:
we already know that PV=nRT then i ve calculated T1

Good!
So what is T1?

To find T2 you first need to find P2.

Can you calculate P2 using P = P1 − 0.005000(V − V1)?
 

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