Methane and water vapor are converted into hydrogen and carbon monoxide in a catalytic reactor. The $C\frac{H_4}{H_2}O$ ratio in the feed stream is $0\mathrm{.}5$ and the feed temperature is $105C.$ When the product outlet temperature is $900C,$ complete conversion of methane is ensured. Assuming that the heat loss to the environment is $6\%$ of the total heat energy, find the heat $(kJ)$ required for $1000m^3$ hydrogen production.

$C{H}_4+H_{2}O(g)CO+3H_2$