Ref. to  Eq. (2.41), we can write in a similar manner,

G = G(p,T,n1,n2,...........,nk)

(2.49)

or,

(2.50)

(2.51)

Since,

G = U +pV - TS

(2.52)

(2.53a)

or,

(2.53b)

Comparing Eq. (2.47)  and  Eq.(2.51), we get,

(2.54)

(2.55)

Eq. (2.51) can be written as

(2.56)