Understanding a proof of Carnot's theorem.

1. Jan 3, 2008

Fallen Seraph

[SOLVED] Understanding a proof of Carnot's theorem.

I'm having trouble understand this proof of Carnot's theorem, and I would appreciate it if someone could point out where my reasoning goes wrong.

My problem with it is that is seems to imply that either the second law is wrong, or the Carnot engine is not the most efficient because:

Why not just get an engine that is less efficient than the Carnot one and construct the same device as was made in the proof except with the Carnot engine in the place that the hypothetical one occupied in the proof, and the less efficient engine in the place of the Carnot?

This, as far as I can see, would also move heat from the cold reservoir to the hot one.

What am I missing?

2. Jan 3, 2008

Cthugha

Any process with efficiency less than Carnot efficiency is not reversible, for example.

3. Jan 3, 2008

Fallen Seraph

Ah! So it is!

Thank you.

4. Oct 9, 2011

nikolafmf

Re: [SOLVED] Understanding a proof of Carnot's theorem.

This Carnot engine works as refrigerator. So, shouldn't it eficiency be Q2/W and not W/Q1?

5. May 15, 2013

Swarnali Hait

that's not efficiency,that's co-efficient of performance..
we are working with efficiency here so if we take coefficient of performance we must have to convert it into efficiency through the relation between them finally..:)