Hydrogen fluoride is used in the manufacture of Freons (which destroy ozone in the stratosphere) and in the production of aluminum metal. It is prepared by the reaction$$\mathrm{CaF}_{2}+\mathrm{H}_{2} \mathrm{SO}_{4} \longrightarrow \mathrm{CaSO}_{4}+2 \mathrm{HF}$$
In one process, $6.00 \mathrm{~kg}$ of $\mathrm{CaF}_{2}$ are treated with an excess of $\mathrm{H}_{2} \mathrm{SO}_{4}$ and yield $2.86 \mathrm{~kg}$ of $\mathrm{HF}$. Calculate the percent yield of HF.