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The correct expression for the Colburn $j$-factor for mass transfer that relates Sherwood number ($Sh$), Reynolds number ($Re$) and Schmidt number ($Sc$) is

  1. $\frac{Sh}{\left ( Re \right )\left ( Sc \right )^{1/3}}$
  2. $\frac{Sh}{\left ( Re \right )^{1/2}\left ( Sc \right )}$
  3. $\frac{Sh}{\left ( Re \right )^{1/2}\left ( Sc \right )^{1/3}}$
  4. $\frac{Sh}{\left ( Re \right )\left ( Sc \right )}$
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