# In aqueous solution, what methathesis reaction occurs between lead nitrate, and lithium sulfate?

I think you will need to repost the question. There are no such beasts as $L i {\left(N {O}_{3}\right)}_{4}$ or $L i S {O}_{4}$.
$P b S {O}_{4}$ is (reasonably) insoluble in aqueous solution. Nitrates are generally soluble.
$P b {\left(N {O}_{3}\right)}_{2} \left(a q\right) + L {i}_{2} S {O}_{4} \left(a q\right) \rightarrow P b S {O}_{4} \left(s\right) \downarrow + 2 L i N {O}_{3} \left(a q\right)$