Please answer $1,2,$ and $3.$ For the elementary solid$-$catalyzed liquid phase reaction A B$,$ please solve the below questions:

$(1)$ Make a plot of equilibrium conversions as a function of temperature. $($use Excel$)$

$(2)$ Determine the adiabatic equilibrium temperature and conversion when pure A is fed to the reactor at a temperature of $300$ K$.($use Excel$)$

$(3)$ How to achieve $0\mathrm{.}9$ equilibrium conversion?

Thermodynamic data:

$$ HA $(298$K$)=$vvv $-40000$ cal$/$mol$,$

$$ HB $(298$K$)=-60000$ cal$/$mol

$$ CpA$=50$ cal$/$mol$-$K

$$ CpB$=50$ cal$/$mol$-$K

$$ Equilibrium constant Keq $=100000$ at $298$ K