Energy, Entropy and Engines by Chandra Sanjeev;
Author:Chandra, Sanjeev; [Chandra, Sanjeev]
Language: eng
Format: epub
Publisher: John Wiley & Sons, Incorporated
Published: 2016-04-22T00:00:00+00:00
From our mechanical definition of pressure, we know that it has dimensions of force / length2, therefore
Let us define
(6.19)
Then, with this definition,
(6.20)
Once thermal equilibrium is reached TA = TB. In that case,
(6.21)
If PA > PB, the system is not in mechanical equilibrium and the entropy will increase. For dSC > 0, we require that dVA > 0. The side with greater pressure will expand in volume until equilibrium is re-established.
6.4 Gibbs Equation
We can define temperature and pressure in terms of specific entropy (s = S / m) and specific internal energy (u = U / m), which are both intensive properties:
(6.22)
(6.23)
From the state postulate, the specific entropy is a function of the specific volume and specific internal energy:
(6.24)
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