In 1997 and \(2009,\) at United Nations conferences on climate change, many
nations agreed to expand their research efforts to develop renewable sources
of carbon-based fuels. For more than a quarter century, Brazil has been
engaged in a program to replace gasoline with ethanol derived from the root
crop manioc (cassava).
(a) Write separate balanced equations for the complete combustion of ethanol
\(\left(\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}\right)\) and of gasoline
(represented by the formula \(\mathrm{C}_{8} \mathrm{H}_{18}\) ).
(b) What mass (g) of oxygen is required to burn completely \(1.00 \mathrm{~L}\)
of a mixture that is \(90.0 \%\) gasoline \((d=0.742 \mathrm{~g} / \mathrm{mL})\)
and \(10.0 \%\) ethanol \((d=0.789 \mathrm{~g} / \mathrm{mL})\) by volume?
(c) If \(1.00 \mathrm{~mol}\) of \(\mathrm{O}_{2}\) occupies \(22.4 \mathrm{~L}\),
what volume of \(\mathrm{O}_{2}\) is needed to burn \(1.00 \mathrm{~L}\) of the
mixture?
(d) Air is \(20.9 \% \mathrm{O}_{2}\) by volume. What volume of air is needed to
burn \(1.00 \mathrm{~L}\) of the mixture?