A tile drainage system having $200 \mathrm{~mm}$ diameter lateral of $400 \mathrm{~m}$ length is used to drain an area with a drainage coefficient of $40 \mathrm{~mm}$. Manning's roughness coefficient for the drain pipe is 0.01 . Drain pipes are laid at $0.3 \%$ slope. The spacing of the tile drain in $\mathrm{m}$ is______________

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A tile drainage system having $200 \mathrm{~mm}$ diameter lateral of $400 \mathrm{~m}$ length is used to drain an area with a drainage coefficient of $40 \mathrm{~mm}$. Manning's roughness coefficient for the drain pipe is 0.01 . Drain pipes are laid at $0.3 \%$ slope. The spacing of the tile drain in $\mathrm{m}$ is______________