Given a gas is at 14 Land 1 mol, what is the number of moles of the gas when volume changes to 122? Round to one decimal place. square mol

## Step 1<br />The problem involves the application of Avogadro's Law, which states that the volume of a gas is directly proportional to the number of moles of the gas, provided the temperature and pressure are constant. This relationship can be expressed as:<br />### \(V1/n1 = V2/n2\)<br />where \(V1\) and \(n1\) are the initial volume and number of moles, and \(V2\) and \(n2\) are the final volume and number of moles.<br /><br />## Step 2<br />In this problem, we are given that the initial volume \(V1\) is 14 L and the initial number of moles \(n1\) is 1 mol. The final volume \(V2\) is given as 122 L, and we are asked to find the final number of moles \(n2\).<br /><br />## Step 3<br />We can rearrange the formula to solve for \(n2\):<br />### \(n2 = (V2 * n1) / V1\)<br /><br />## Step 4<br />Substituting the given values into the formula, we get:<br />### \(n2 = (122 * 1) / 14 = 8.71\) mol<br /><br />## Step 5<br />The problem asks us to round to one decimal place, so the final answer is 8.7 mol.