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:<br /><br />$K_{2}SO_{3}+KMnO_{4}+H_{3}SO_{4}\rightarrow K_{2}SO_{4}+H_{2}SO_{4}+H_{2}O$<br /><br />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.<br /><br />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.<br /><br />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 $K_{2}SO_{3}$ on the left side:<br /><br />$3K_{2}SO_{3}+KMnO_{4}+H_{3}SO_{4}\rightarrow K_{2}SO_{4}+H_{2}SO_{4}+H_{2}O$<br /><br />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.<br /><br />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.<br /><br />Therefore, the balanced chemical equation is:<br /><br />$3K_{2}SO_{3}+KMnO_{4}+H_{3}SO_{4}\rightarrow 3K_{2}SO_{4}+H_{2}SO_{4}+H_{2}O$