Finding a relationship using 1st Law of Thermodynamics

AI Thread Summary
The discussion focuses on deriving a relationship involving dq/T, dT/T, dp/p, Cp, and R for an ideal gas using the first law of thermodynamics. The user has derived an equation dq = Cp*dT - R*T*dp/p but is uncertain about the next steps. They suggest dividing both sides by T to simplify the equation and achieve the desired relationship. Participants in the thread are encouraged to provide guidance on whether the derivation is correct and how to proceed further. The conversation emphasizes the application of thermodynamic principles to solve the problem effectively.
Charanjit
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1. Homework Statement

Derive a relationship between dq/T , dT/T, dp/p , Cp , and R for an ideal gas.

2. Homework Equations

dQ = dU + dW and/or dq = du + dw (for a unit mass)
p*d(alpha) = dw (alpha = specific volume V/m)
du = Cv*dT
p(alpha) = RT (Ideal gas equation, a different form)
Cv + R = Cp


3. The Attempt at a Solution

I went through the derivation and got the following:

dq = Cp*dT - R*T*dp/p

I have no clue what to do from here. Any help? Or is this correct?
 
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After posting this, I found something, why not divide both sides by T, that will give us the relationship the question wanted right?
 

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