Methanol is produced from $CO$ and $H_2$ in a continuous vapor$-$phase reactor at $5$atm.

$CO(g)+2H_2(g)C{H}_{3}OH(g)$

The feed contains $CO$ and $H_2$ in stoichiometric proportions by mole and enters the reactor at $30C$ and $5\mathrm{.}00$atm at a rate of $20\frac{m^3}{h}.$ The product stream emerges from the reactor at $130C.$ Heat is removed from the reactor at a rate of $15kW.$ Calculate the fractional conversion achieved in the reactor and the volume rate of the product stream in $\frac{m^3}{h}.$