$\mathrm{P}_{4} \mathrm{O}_{10}$ is one of the most effective drying agents, having the ability to extract water from other molecules. The $\mathrm{P}_{4} \mathrm{O}_{10}$ forms phosphoric acid. Write balanced reactions for the reaction of $\mathrm{P}_{4} \mathrm{O}_{10}$ with:
a. $\mathrm{HNO}_{3},$ forming $\mathrm{N}_{2} \mathrm{O}_{5}$
b. $\mathrm{H}_{2} \mathrm{SO}_{4},$ forming $\mathrm{SO}_{3}$