5. JUISI K_(2)SO_(3)+KMnO_(4)+H_(3)SO_(4)arrow K_(2)SO_(4)+H_(2)SO_(4)+H_(2)O

The given chemical equation is: To balance this chemical equation, we need to ensure that the number of atoms of each element is the same on both sides of the equation.Let's start by balancing the potassium (K) atoms. We have 2 potassium atoms on the left side and 2 potassium atoms on the right side, so the potassium atoms are already balanced.Next, let's balance the sulfur (S) atoms. We have 1 sulfur atom on the left side and 3 sulfur atoms on the right side, so we need to balance the sulfur atoms by adding a coefficient of 3 in front of on the left side: Now, let's balance the manganese (Mn) atoms. We have 1 manganese atom on the left side and 1 manganese atom on the right side, so the manganese atoms are already balanced.Finally, let's balance the oxygen (O) atoms. We have 9 oxygen atoms on the left side and 9 oxygen atoms on the right side, so the oxygen atoms are already balanced.Therefore, the balanced chemical equation is: