The fundamental equation - Differential and integrated versions of the fundamental equations

4 important questions on The fundamental equation - Differential and integrated versions of the fundamental equations

What is an intensive quantity?

Examples of intensive quantities are T, P and mu, which are not dependent on the size of the system.

In the equation what are the extensive and what are the intensive quantities?

E, S, V and N are extensive, they scale with the system.
T, P and µ are intensive, they are independent of the size of the system.

Why are T, P and µ not formally independent in ?

T, P and µ are functions of S, V and N
  • Higher grades + faster learning
  • Never study anything twice
  • 100% sure, 100% understanding
Discover Study Smart

What is the proof that Euler's theorem of homogeneous functions applies to ?

Since E scales linearly with the system,

Taking the λ derivative of both sides gives

Since λ can be any arbitrary number, this must hold for λ=1,

The question on the page originate from the summary of the following study material:

  • A unique study and practice tool
  • Never study anything twice again
  • Get the grades you hope for
  • 100% sure, 100% understanding
Remember faster, study better. Scientifically proven.
Trustpilot Logo