The amount of \(\mathrm{CO}_{2}\) in the atmosphere is \(0.04 \%(0.04 \%\)
\(=0.0004 \mathrm{~L} \mathrm{CO}_{2} / \mathrm{L}\) atmosphere). The world uses
the equivalent of approximately \(4.0 \times 10^{12} \mathrm{~kg}\) of petroleum
per year to meet its energy needs. Determine how long it would take to double
the amount of \(\mathrm{CO}_{2}\) in the atmosphere due to the combustion of
petroleum. Follow each of the steps outlined to accomplish this:
a. We need to know how much \(\mathrm{CO}_{2}\) is produced by the combustion of
\(4.0 \times 10^{12} \mathrm{~kg}\) of petroleum. Assume that this petroleum is
in the form of octane and is combusted according to the following balanced
reaction:
$$
2 \mathrm{C}_{8} \mathrm{H}_{18}(\mathrm{~L})+25 \mathrm{O}_{2}(\mathrm{~g})
\longrightarrow 16 \mathrm{CO}_{2}(\mathrm{~g})+18 \mathrm{H}_{2}
\mathrm{O}(\mathrm{g})
$$
By assuming that \(\mathrm{O}_{2}\) is in excess, determine how many moles of
\(\mathrm{CO}_{2}\) are produced by the combustion of \(4.0 \times 10^{12}
\mathrm{~kg}\) of \(\mathrm{C}_{8} \mathrm{H}_{18}\). This will be the amount of
\(\mathrm{CO}_{2}\) produced each year.
b. By knowing that \(1 \mathrm{~mol}\) of gas occupies \(22.4 \mathrm{~L}\),
determine the volume occupied by the number of moles of \(\mathrm{CO}_{2}\) gas
that you just calculated. This will be the volume of \(\mathrm{CO}_{2}\)
produced per year.
c. The volume of \(\mathrm{CO}_{2}\) presently in our atmosphere is
approximately \(1.5 \times 10^{18} \mathrm{~L}\). By assuming that all
\(\mathrm{CO}_{2}\) produced by the combustion of petroleum stays in our
atmosphere, how many years will it take to double the amount of
\(\mathrm{CO}_{2}\) currently present in the atmosphere from just petroleum
combustion?