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Finding a relationship using 1st Law of Thermodynamics

  • Thread starter Charanjit
  • Start date
  • #1
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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?
 

Answers and Replies

  • #2
48
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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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