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A spherical ball of benzoic acid (diameter=$1.5\:cm$) is submerged in a pool of still water. The solubility and diffusively of benzoic acid in water are $0.03$ $k$mol/$m^{4}$ and $1.25 \times 10^{-9}\:m^{2}/s$ respectively. Sherwood number is given as $Sh=2.0+0.6\:Re^{0.5}\:Sc^{0.33}$. The initial rate of dissolution (in $k$mol/$s$) of benzoic acid approximately is

  1. $3.54 \times 10^{-11}$
  2. $3.54 \times 10^{-12}$
  3. $3.54 \times 10^{-13}$
  4. $3.54 \times 10^{-14}$
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