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 1The 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:### where and are the initial volume and number of moles, and and are the final volume and number of moles.## Step 2In this problem, we are given that the initial volume is 14 L and the initial number of moles is 1 mol. The final volume is given as 122 L, and we are asked to find the final number of moles .## Step 3We can rearrange the formula to solve for :### \(n2 = (V2 * n1) / V1\)## Step 4Substituting the given values into the formula, we get:### \(n2 = (122 * 1) / 14 = 8.71\) mol## Step 5The problem asks us to round to one decimal place, so the final answer is 8.7 mol.