A reactor, distillation column and a condenser are connected to each other. The input flow that comes to the reactor contains $25$ wt$.\%$ methanol and $75$ wt$.\%$ buthanol and the flow rate of this flow is $300$ kg$/$h$.$ There are two output flows that are coming from the reactor. The first output flow is going to the condenser and the second output flow is going to the distillation column. The second output flow going to distillation column has a flow rate of $100$ kg$/$hr$,$ and it has $55$ wt$.\%$ methanol and $45$ wt$.\%$ buthanol. The first output flow is going to the condenser column has a flow rate of $200$ kg$/$hr$,$ and it has $35$ wt$.\%$ methanol and $65$ wt$.\%$ buthanol. The condenser has two output flows. One of them is going to the room and the other one is the recycle flow which is connected to the reactor. The first output flow from the condenser that is going to room has a flow rate of $50$ kg$/$hr$,$ and it has $45$ wt$.\%$ methanol and $55$ wt$.\%$ buthanol. The recycle flow rate values are not known. Also, the values of flow between the point where recycle flow is united and the reactor are not known. Please draw the flowchart and do the proper degree of freedom analysis and do the numerical calculations. Find the unknown variables on the problem