A minerals processing separator is fed $15000$ kg$/$h of slurry containing $10\%$ hematite $,15\%$ lime and the rest is water $.$ In operation $,$ water containing lime is filtered and hematite is retained at the first stage. The filtrate is therefore dried evaporating water leaving behind lime $.$ The thick liquor leaving the evaporator contains $45\%$ Lime, $2\%$ Hematite and the rest of the water.Calculate the : $($a$)$ hematite retained $($kg$/$h$)($b$)$ Water evaporated $($kg$/$h$)($c$)$ Thick Liqour $($kg$/$h$)$