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Hydrogenation of benzene is to be carried out using $Ni$ (density = $8910$ $kg/m^{3}$) as catalyst, cast in the from of non-porous hollow cylinders, as shown below. The reaction occurs on  all the surfaces of the hollow cylinder. During an experiment, one such cylinder is suspended in the reactant stream. If the observed rate of reaction is $0.39$ mol ($m^{2}$ of catalyst surface)$^{-1}$ min$^{-1}$, then the rate of reaction in mol($kg$ of catalyst)$^{-1}$ min$^{-1}$ is ________________________ (rounded off to three decimal places).

                                                                  

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