Methanol $($CH$3$OH$)$ is thermally decomposed in a reactor into formaldehyde $($HCHO$)$ and hydrogen $($H$2)$ and the unreacted CH$3$OH is recycled as shown in the figure below$\mathrm{.}1.$The flow rates of the different components are as shown in the diagram. Using the concept of overall balance in a system, calculate the molar flow rate of the fresh feed $($CH$3$OH$)?2.$The flow rates of the different components are as shown in the diagram. If the single pass conversion of CH$3$OH to HCHO is $60\%,$ calculate the amount of CH$3$OH that pass through the reactor unreacted $($n$3)?$