The propane fuel $($C$3$H$8)$ used in gas barbeques burns according to the thermochemical equation:

C$3$H$8($g$)+5$O$2($g$)->3$CO$2($g$)+4$H$2$O$($g$)\backslash$Delta rH$=2217$kJmol$1.$ If a pork roast must absorb $1\mathrm{.}6$ x $10^3$ kJ to fully cook, and if only $14\%$ of the heat produced by the barbeque is actually absorbed by the roast, what mass of CO$2$ is emitted into the atmosphere during the grilling of the pork roast?

Express your answer using two significant figures.