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A cylindrical packed bed of height $1\:m$ is filled with equal sized spherical particles. The particles are nonporous and have a density of $1500$ kg/$m^{3}$. The void fraction of the bed is $0.45$. The bed is fluidized using air (density $1$ kg/$m^{3}$). If the acceleration due to gravity is $9.8\:m/s^{2}$, the pressure drop (in $Pa$) across the bed at incipient fluidization (up to one decimal place) is __________________.
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