Three streams of water are mixed to obtain the feed to a separation process. Properties of the feed streams and product of the mixing unit are as follows: Feed stream $1$: $1$ kg H$2$O$($l$)/$min @ $59$C Feed stream $2$: $5$ kg H$2$O$($l$)/$min @ $20$C Feed stream $3$: H$2$O$($l$)$ @ $83$C Product stream: H$2$O$($l$)$ @ $70$C The mixing unit operates adiabatically. Draw and label the flowchart. Calculate the mass flow rates of the feed stream $3$ and the product stream, neglecting potential and kinetic energy changes, using tabulated enthalpy data in steam tables.