A slurry $($mix of water and insoluble material$)$ of crushed mine coal is fed to a cyclone separator at a rate of $12\frac{t}{h}.$ The mine coal averages $78\%$ pure coal and $22\%$ pyrite. Pure coal is recovered at the top of the separator. The waste from the bottom of the separator contains $3\mathrm{.}0\%$ pure coal and $35\%$ pyrite; the rest is water. How much pure coal can be obtained from the top of the separator in a $12-h$ time period? $($Round the final answer to four decimal places.$)$

The amount of pure coal that can be obtained in a $12-$hour time period is: $$ t$.$