Thermodynamics Q

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Find (∂G/∂N_a)_T,p,Na'≠a

of

G(T, p, x1, x2,...) = Ʃx_aπ_a(T) + RTƩx_aln(x_ap/p₀)

p.s. the sum is over all alpha. π(T) is some function of T:

so first i multiplied thru by Ntotal (N).. giving extensive G.. then differentiated this wrt Na.

My problem is how to differentiate the second part, i.e.

d/dNa = π_a(T) + d/dN_a(RTƩN_aln(N_aP/NP₀)

plssssssss help

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