In a process producing KNO$3,$ a feed solution containing $20\%$KNO$3$ by weight is fed at a flow rate of $1000$ kg$/$h$.$

is fed to the evaporator. The solution was heated here at $422\backslash$deg C to obtain a solution containing $50\%$ KNO$3$ by weight.

Some of the water is removed by evaporation at K$.$ Then the concentrated solution was heated at $311$ K$.$

It is fed to a crystallizer, where crystals containing $96\%$ KNO$3$ by weight are removed.

The saturated solution containing $37\mathrm{.}5\%$ KNO$3$ taken from the crystallizer is returned to the evaporator. Back

Calculate the current coming out of the rotation and the crystal product flow in kg$/$h$.$