The definition of a partial molar property is It is tempting, but incorrect, to assume that this

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The definition of a partial molar property is 

M = = - ( (NM) N T,P, Nji

It is tempting, but incorrect, to assume that this equation can be written as 

Mi - (), T,P

Prove that the correct result is 

M; = M + - (84), T,P,*k#i  (8) Xj 0x; / T,P,*k#j

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