Show for a binary mixture the validity of the relation [boldsymbol{j}_{mathrm{A}}=frac{M_{mathrm{A}} M_{mathrm{B}}}{M} boldsymbol{J}_{mathrm{A}}]

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Show for a binary mixture the validity of the relation

\[\boldsymbol{j}_{\mathrm{A}}=\frac{M_{\mathrm{A}} M_{\mathrm{B}}}{M} \boldsymbol{J}_{\mathrm{A}}\]

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