Determine the mass of CO$2$ produced by burning enough carbon $($in the form of charcoal$)$ to produce $5\mathrm{.}30\backslash$times $102$ kJ of heat.

C$($s$)+$O$2($g$)->$CO$2($g$)\backslash$Delta rH$=393\mathrm{.}5$kJmol$1$