Question $4$According to the first law and second law of thermodynamics, prove that internal energy canbe expressed as function of entropy $($S$)$ and volume $($V$)$ as following:dU $=$ Tds $-$ PavDeduce the following relation:

Deduce the following relation:

$(\frac{\text{d}\text{e}\text{l}\text{T}}{\text{d}\text{e}\text{l}\text{V}}{)}_S=-(\frac{\text{d}\text{e}\text{l}\text{P}}{\text{d}\text{e}\text{l}\text{S}}{)}_V$