# 5.8. Using the extensivity property of the entropy, find the fundamental equation for the intensive quantity s = S/N in both differential and integrated forms.This problem is from a book "Thermodynamics and Statistical Mechanics An Integrated Approach by M. Scott Shell"

Question
16 views

5.8. Using the extensivity property of the entropy, find the fundamental equation for the intensive quantity s = S/N in both differential and integrated forms.

This problem is from a book "Thermodynamics and Statistical Mechanics An Integrated Approach by M. Scott Shell"

check_circle

Step 1

For entropy ‘S’, the extensive property in its differential form of fundamental equation is:

Step 2

Now, take partial derivative of (1) keeping two variables constant at one time as shown below.

Step 3

All the independent variables are extensive properties. These are S, E, V, and N. All the derivatives of equations (2), (3) and (4) are intensive properties.

So, according to the Euler’s theo...

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

### Chemical Engineering 