A compound containing only carbon, hydrogen, and oxygen is analyzed using combustion analysis. When $0\mathrm{.}501g$ of the compound is burned, $1\mathrm{.}001g$ of carbon dioxide and $0\mathrm{.}410g$ of water are collected.

Given that there are $0\mathrm{.}0227$ moles of carbon dioxide produced, determine the moles of carbon present in the carbon dioxide. This will be the same number of moles of carbon in the original compound.