Solution:
Solution
$$3BaCl_2+2(NH_4)_3PO_4\, \, \, \, \, \longrightarrow \, \, \, Ba_3(PO_4)_2+6NH_4Cl$$
$$3 \,mol\, \, \, \, \quad 2\, mol\,\,\, \quad \quad \quad \quad \quad \quad \quad 1 \,mol$$
Given: $$0.5\,mol \, \,\, \quad 0.2\,mol \, \, \quad \quad \quad \quad\quad \quad 0.1\,mol$$
Thus, $$(NH_4)_3PO_4$$ is the limiting reactant giving $$0.1$$ mol $$Ba_3(PO_4)_2$$.$$BaCl_2$$ required by $$0.2$$ mol of $$(NH_4)_3PO_4 = 0.3 \: mol$$.
Thus, $$BaCl_2$$ in excess $$= 0.5 -0.3 = 0.2 \: mol$$