Physical Chemistry: Estimating ΔG of an Ideal Gas

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Discussion Overview

The discussion revolves around estimating the Gibbs free energy change (ΔG) for the process of one mole of an ideal gas undergoing a pressure increase from 1.00 atm to 11.0 atm at a temperature of 25.0°C. The context includes aspects of physical chemistry, specifically relating to thermodynamic equations and properties of gases.

Discussion Character

  • Homework-related
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant expresses uncertainty about the adequacy of the provided information, specifically the need for the heat capacity (C(p,m)) to complete the problem.
  • Another participant questions whether the ideal gas in the problem is monatomic or diatomic, highlighting a potential ambiguity in the problem statement.
  • A participant suggests using the equation ΔG = nRTln(Pf/Pi) for the calculation, noting that it was found in their notes but not in the textbook.
  • One participant asserts that ΔH can still be calculated without knowing the heat capacity of the gas.
  • A later reply confirms that the equation for ΔG applies for an isothermal process involving an ideal gas.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the applicability of certain equations or the necessary information to solve the problem, indicating that multiple competing views remain regarding the approach to estimating ΔG.

Contextual Notes

There is a lack of clarity regarding the type of ideal gas (monatomic vs. diatomic) and the specific heat capacity, which may affect the calculations. The discussion also reflects uncertainty about the completeness of the problem statement.

Who May Find This Useful

This discussion may be useful for students studying physical chemistry, particularly those interested in thermodynamic properties of gases and Gibbs free energy calculations.

Nick_273
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Homework Statement


Estimate ΔG for the process where one mol of ideal gas is subjected to an increase in
pressure from 1.00 atm to 11.0 atm at 25.0°C.


Homework Equations


ΔG=ΔH-TΔS
ΔH=C(p,m)(Tf-Ti


The Attempt at a Solution


Seems straight forward, but it seems i am not given enough information to complete the problem. I need C(p,m)? It does say estimate. Does that mean that i only need to imply that the Gibbs free energy will be possitive, negative, or 0?

If you can help me clarify the problem that would be greatly appreciated!

Thanks.
 
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Does the problem say whether the ideal gas is monatomic or diatomic?
 
No, it does not. Does this equation apply?

ΔG = nRTln(Pf/Pi)

I found it in my notes but can't find it anywhere in the text.
 
Oh, for this case, you can actually still calculate ΔH even though you do not know the heat capacity of the gas.
 
Hi Nick_273! :smile:

Nick_273 said:
No, it does not. Does this equation apply?

ΔG = nRTln(Pf/Pi)

I found it in my notes but can't find it anywhere in the text.

Yep, it applies (for an isothermal process on an ideal gas).
 

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