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Given that d E = T d S - p d V   a n d   H = E + p V . Which one of the following relations is true?

Options

  1. Ad H = T d S + V d p
  2. Bd H = S d T + V d p
  3. Cd H = - S d T + V d p
  4. Dd H = d E + p d V

Correct answer

A. d H = T d S + V d p

Step-by-step solution

Given, d E = T d S - p d V ...(i) H = E + p V ...(ii) Differentiating Eq. (ii), d H = d E + d ( V p ) d H = d E + p d V + V d p ...(iii) Put the value of dE From Eqs. (i) and (iii), we get d H = ( T d S - p d V ) + p d V + V d p d H = T d S + V d p

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