What is the Relationship Between Entropy and Temperature?

[HmJeremy]

Homework Statement

Thermodynamics - entropy - second law

Relevant Equations

dS = λ*dQ ----> dS = dQ/T , where λ = 1/T

Help!
Hi, I need
in the secodn law of thermodynamic, we have the ENTROPY "S".

Well, I need help for this:
We have dS ≈ dQ

Then we have dS = λ *dQ
where we have λ = λ (T, ... )

I have to demostrate that :
λ = 1/T , where T = temperature.

Thanks for the advices and help!

 

[stevendaryl]

To be able to prove that $dS = \frac{dQ}{T}$, you need to start with the definitions of $S, Q$ and $T$. What definitions are you supposed to start with?

 

[rude man]

We have dS ≈ dQ

We do? S and Q have different dimensions!Then we have dS = λ *dQ
where we have λ = λ (T, ... )

I have to demostrate that :
λ = 1/T , where T = temperature.

Thanks for the advices and help!
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