Industrially, hydrogen gas can be prepared by reacting propane gas $\left(\mathrm{C}_{3} \mathrm{H}_{8}\right)$ with steam at about $400^{\circ} \mathrm{C}$. The products are carbon monoxide (CO) and hydrogen gas $\left(\mathrm{H}_{2}\right) .$
(a) Write a balanced equation for the reaction.
(b) How many kilograms of $\mathrm{H}_{2}$ can be obtained from $2.84 \times 10^{3} \mathrm{~kg}$ of propane?