Can You Prove the Steady Flow Equation for Ideal Gases?

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Discussion Overview

The discussion revolves around the proof of the steady flow equation for ideal gases, specifically the relationship between temperature and pressure in different states of an ideal gas. The scope includes theoretical aspects and mathematical reasoning related to thermodynamics.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant seeks a proof for the equation t1/t2 = (p1/p2)^(n-1/n).
  • Another participant requests clarification on the variables involved in the equation to provide better assistance.
  • A participant identifies the variables, stating that t represents temperature, p represents pressure, and n can be expressed as gamma (γ), which is 1.4.
  • It is noted that an alternative equation, t1/t2 = 1 + ((γ-1)/2)(m^2), where m is the Mach number, has been found by a participant.
  • Questions are raised about whether (p1, t1) and (p2, t2) are thermodynamic variables for two states, if the state is an ideal gas, and if the process is adiabatic.
  • A participant suggests that providing the exact question would facilitate better assistance.

Areas of Agreement / Disagreement

Participants have not reached a consensus on the proof or the specifics of the equation, and multiple viewpoints regarding the variables and conditions involved remain present.

Contextual Notes

There are limitations regarding the assumptions about the states being ideal gases and the nature of the process (adiabatic or otherwise) that have not been resolved.

drftr87
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Does anybody know how to prove this equation

t1/t2 = (p1/p2)^(n-1/n)

thanks
 
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Tell us about the equation. What are the variables, what does it represent. The more information you can provide the more we will be able to help.
 
t= temperature
p= pressure
n can be written as gamma(γ) which is 1.4
ive found out that t1/t2 = 1+((γ-1)/2)(m^2)
where m is the mach number
 
so, are (p1,t1) and (p2,t2) thermodynamic variable for two states? Is the state an ideal gas? Is the process which takes you to the new state adiabatic?

It'll be easier to help if you post the exact question.
 

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