The given chemical reaction involves barium chloride (\(\mathrm{BaCl}_{2}\)) and potassium chromate (\(\mathrm{K}_{2} \mathrm{CrO}_{4}\)).
Step 2: Write the Balanced Chemical Equation
To determine the products, we need to consider the possible double displacement reaction. The barium ion (\(\mathrm{Ba}^{2+}\)) will pair with the chromate ion (\(\mathrm{CrO}_{4}^{2-}\)), and the potassium ion (\(\mathrm{K}^{+}\)) will pair with the chloride ion (\(\mathrm{Cl}^{-}\)).
The balanced chemical equation is:
\[
\mathrm{BaCl}_{2} + \mathrm{K}_{2} \mathrm{CrO}_{4} \rightarrow \mathrm{BaCrO}_{4} + 2\mathrm{KCl}
\]
Step 3: Verify the Balanced Equation
Ensure that the number of atoms of each element is the same on both sides of the equation: