Question

# Suppose atmospheric $\mathrm{CO}_{2}$ is growing at 2 ppm/yr, fossil fuel and cement emissions are 9 GtC/yr, and the airborne fraction is 38 percent. If the only other carbon emissions are associated with land use changes, estimate their net carbon emission rate.

Solution

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In this exercise, we have the next value:

$\mathrm{Cement\ concentration}=9 \mathrm{Gtc}/ \mathrm{year}$

$\mathrm{Land\ usage}=2.2 \mathrm{ppm}$

$\mathrm{Airborn\ fraction}=38 \%$

Now, find $\mathrm{C\ emissions}$:

\begin{align*} \mathrm{X}&=\frac{2 \mathrm{ppm/year } \cdot 2.12 \mathrm{GtC} / \mathrm{ppm}}{0.38}\\ &=11.15\ \mathrm{GtC}/ \mathrm{year}\\ \end{align*}

So, we can calculate emissions:

\begin{align*} \mathrm{X}&=11.5\ \mathrm{GtC}/ \mathrm{year}-9\ \mathrm{GtC}/ \mathrm{year}\\ &=2.15\ \mathrm{GtC}/ \mathrm{year}\\ \end{align*}

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