$.$ A reactor and a cooler are connected to each other. The input flow that comes to the reactor contains $30$ wt$.\%$ benzene and the rest is toluene and the flow rate of this flow is $200$ kg$/$h$.$ There are two output flows that are coming from the reactor. The first output flow is going to the cooler and the second output flow is going to the room. The second output flow going to the room has a flow rate of $80$ kg$/$hr$,$ and it has $60$ wt$.\%$ benzene and the rest is toluene. The cooler has two output flows that are going to the room. The first output flow from the cooler has a flow rate of $90$ kg$/$hr$,$ and it has $30$ wt$.\%$ benzene and the rest is toluene. The second output flow rate values are not known. Another flow is united with the flow that is going from the reactor to the cooler and this flow has a flow rate of $120$ kg$/$hr$,$ and it has $70$ wt$.\%$ benzene and the rest is toluene. Please draw the flowchart and do the proper degree of freedom analysis and do the numerical calculations. Find the unknown variables on the problem