Balance the following reaction A coefficient of "1"is understood. Choose option "blank" for the correct answer if the coefficient is "1." div PbO_(2)arrow PbO+ AO_(2)

To balance the given chemical reaction, we need to ensure that the number of atoms of each element is the same on both sides of the equation.<br /><br />The unbalanced reaction is:<br /><br />\[ \text{PbO}_2 \rightarrow \text{PbO} + \text{AO}_2 \]<br /><br />Let's identify the elements involved: Pb (lead) and O (oxygen).<br /><br />1. **Balance Lead (Pb):** <br /> There is 1 Pb atom on both sides of the equation, so lead is already balanced.<br /><br />2. **Balance Oxygen (O):** <br /> On the left side, there are 2 oxygen atoms in \(\text{PbO}_2\). <br /> On the right side, there is 1 oxygen atom in \(\text{PbO}\) and 2 oxygen atoms in \(\text{AO}_2\), totaling 3 oxygen atoms.<br /><br />To balance the oxygen atoms, we can adjust the coefficients:<br /><br />- Multiply \(\text{PbO}\) by 2 to have 2 oxygen atoms from \(\text{PbO}\) and 2 from \(\text{AO}_2\), totaling 4 oxygen atoms on the right side.<br /><br />Now the balanced equation looks like this:<br /><br />\[ 2\text{PbO}_2 \rightarrow 2\text{PbO} + \text{O}_2 \]<br /><br />However, this doesn't match the original format with "AO_2". Assuming "A" was a placeholder for balancing purposes, let's correct it:<br /><br />\[ \text{PbO}_2 \rightarrow \text{PbO} + \frac{1}{2}\text{O}_2 \]<br /><br />Since fractional coefficients are not typically used in balanced equations, multiply the entire equation by 2 to eliminate the fraction:<br /><br />\[ 2\text{PbO}_2 \rightarrow 2\text{PbO} + \text{O}_2 \]<br /><br />Thus, the balanced equation is:<br /><br />\[ 2\text{PbO}_2 \rightarrow 2\text{PbO} + \text{O}_2 \]<br /><br />In terms of coefficients, the answer is:<br />- For \(\text{PbO}_2\): 2<br />- For \(\text{PbO}\): 2<br />- For \(\text{O}_2\): 1<br /><br />If you need to choose options based on these coefficients, they would be:<br />- \(\text{PbO}_2\): 2<br />- \(\text{PbO}\): 2<br />- \(\text{O}_2\): blank (since the coefficient is 1)