?For a multicomponent mixture containing any number of species, prove

Chapter 10, Problem 10.4

(choose chapter or problem)

For a multicomponent mixture containing any number of species, prove that

\(\bar{M}_{i}=M+\left(\frac{\partial M}{\partial x_{i}}\right)_{T, P}-\sum_{k} x_{k}\left(\frac{\partial M}{\partial x_{k}}\right)_{T, P}\)

where the summation is over all species. Show that for a binary mixture this result reduces to Eqs. (10.15) and (10.16).

Text Transcription:

bar M_i = M + (partial M/partial x_i)_T,P - sum_kx_k(partial M/partial x_k)_T, P

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