C$2$H$2($g$)$ is to be produced from methane $($CH$4($g$))$ in a process$/$reaction tank$.$ The methane flows into the curve at a rate of $1$ mol$/$sec$.$

An unwanted side reaction also occurs when C$2$H$2$ splits into pure carbon and hydrogen gas.

$2$CH$4($g$)->$ C$2$H$2($g$)+3$H$2($g$)(1)$ C$2$H$2($g$)->2$C$($s$)+$ H$2($g$)(2)$

$60\%$ of all methane reacts in the process. The curve is heated with a $100$ kW heat source. The temperature of materials in and out of the curve is $1000\backslash$deg C$.$ Pressure is constant or $1$ atm throughout the process. The curve is continuous and stable.

For simplicity, you should assume that the heat capacity of the materials at constant pressure is as follows:

Cp$,$CH$4($g$)=0\mathrm{.}08$ kJ$/($mol$*\backslash$deg C$)$ Cp$,$C$2$H$4($g$)=0\mathrm{.}05$ kJ$/($mol$*\backslash$deg C$)$ Cp$,$H$2($g$)=0\mathrm{.}03$ kJ$/($mol $*\backslash$deg C$)$ Cp$,$C$($s$)=0\mathrm{.}02$ kJ$/($mol$*\backslash$deg C$)$

a$)(10\%)$ Draw a flow chart, enter mole flow parameters and heat$/$energy transfer to$/$from the process

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b$)(55\%)$ Solve the mass and energy balance for the curve, find all unknown molar flow parameters and $$H

for the career.