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**1. Homework Statement**

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

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

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?

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?