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A vertically held packed bed has a height of $1 \: m$, and void fraction of $0.1$, when there is no flow through the bed. The incipient (minimum) fluidization is set in by injection of a fluid of density $1 \: kg \: m^{-3}$. The particle density $(\rho_p)$ of the solids is $3000 \: kg \: m^{-3}$. Acceleration due to gravity is $9.81 \: m \: s^{-2}$. The pressure drop (in $Pa$) across the height of the bed is ________ (round off to nearest integer).
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