When organic compounds containing sulfur are bumed, sulfur dioxide is
produced. The amount of \(\mathrm{SO}_{2}\) formed can be determined by the
reaction with hydrogen peroxide:
$$\mathrm{H}_{2} \mathrm{O}_{2}(a q)+\mathrm{SO}_{2}(g) \longrightarrow
\mathrm{H}_{2} \mathrm{SO}_{4}(a q)$$
The resulting sulfuric acid is then titrated with a standard NaOH solution. A
1.302 -g sample of coal is burned and the \(\mathrm{SO}_{2}\) is collected in a
solution of hydrogen peroxide. It took 28.44 \(\mathrm{mL}\) of a $0.1000-M
\mathrm{NaOH}$ solution to titrate the resulting sulfuric acid. Calculate the
mass percent of sulfur in the coal sample. Sulfuric acid has two acidic
hydrogens.