Given that `dU = T dS - P dV and H = U + PV`. Which one of the following relations is true ?

Options

A. `d H = T d S + V d P`
B. `d H = S d T + V d P`
C. `d H = - S d T + V dP`
D. `d H = d U + P d V`

Answer

A

Explanation

`H = E + PV`
`delta H = delta E + P delta V + V delta P`
`= T delta S - P delta V + P delta V + V delta P`
`delta H = T delta S + V delta P`