A pulverized rock sample believed to be pure calcium carbonate, $\mathrm{CaCO}_{3},$ is subjected to chemical analysis and found to contain $51.3 \% \mathrm{Ca}, 7.7 \% \mathrm{C},$ and 41.0$\% \mathrm{O}$ by mass. Why can't this rock sample be pure $\mathrm{CaCO}_{3} ?$