Propane $(C_3{H}_8)$ burns in dinitrogen monoxide to produce nitrogen, steam and carbon dioxide. If $5\mathrm{.}0g$ of propane and $100\mathrm{.}0g$ of dinitrogen monoxide reacted together as completely as possible in this way, write a balanced equation for the reaction and calculate:

a the mass of carbon dioxide produced

b the mass of the excess reactant remaining after the reaction was finished.