Given that `dE=Tds- pdV and H=E +pV`. Which one of the following relations is true?

Options

A. a) dH=Tds+Vdp
B. b) dH=Sdt+Vdp
C. c) dH=-Sdt-Vdp
D. d) dH=dE+pdV

Answer

A

Explanation

Given, dE=Tds=pdV….(i)
H=E+pV…….(ii)
Differentiating Eq.(ii),
dH=dE+pdV+vdp
From Eq. (i) and (iii), we get
dH=Tds+vdp