Energy, Entropy and Engines by Chandra Sanjeev;

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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