Which of the coefficients could be used to balance this equation? underline ( )Ag_(2)Oarrow underline ( )Ag+underline ( )O_(2) (2,1,2) (2,2,2) (1,1,1) (2,4,1)

To balance the 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 />Given equation: $\underline {\quad }Ag_{2}O\rightarrow \underline {\quad }Ag+\underline {\quad }O_{2}$<br /><br />Let's analyze the options:<br /><br />1. $(2,1,2)$: This means 2 moles of $Ag_{2}O$ decompose to produce 1 mole of $Ag$ and 2 moles of $O_{2}$. This is not balanced because there are 4 moles of $Ag$ on the left side and only 1 mole of $Ag$ on the right side.<br /><br />2. $(2,2,2)$: This means 2 moles of $Ag_{2}O$ decompose to produce 2 moles of $Ag$ and 2 moles of $O_{2}$. This is balanced because there are 4 moles of $Ag$ on both sides and 2 moles of $O$ on both sides.<br /><br />3. $(1,1,1)$: This means 1 mole of $Ag_{2}O$ decomposes to produce 1 mole of $Ag$ and 1 mole of $O_{2}$. This is not balanced because there are 2 moles of $Ag$ on the left side and only 1 mole of $Ag$ on the right side.<br /><br />4. $(2,4,1)$: This means 2 moles of $Ag_{2}O$ decompose to produce 4 moles of $Ag$ and 1 mole of $O_{2}$. This is not balanced because there are 4 moles of $Ag$ on the left side and only 4 moles of $Ag$ on the right side.<br /><br />Therefore, the correct answer is $(2,2,2)$.