In this question, we have the following reaction:
2 Al + 3 Cl2 -> 2 AlCl3
Now we need to know how many moles of AlCl3 is produced, according to the information given about Cl2, which are:
2.49 L
23°C, but for our question, we need to use Kelvin, 296 K
2.23 atm of pressure
Now to find the number of moles of Cl2, we will be using the Ideal gas law formula, which is:
PV = nRT
R is the gas constant = 0.082
Now we add the values into the formula:
2.23 * 2.49 = n * 0.082 * 296
5.5527 = 24.272n
n = 4.37 moles of Cl2
Now we know the number of moles of Cl2, in order to find the number of moles of AlCl3, we will use their molar ratio, 3 Cl2 = 2 AlCl3, but we have 4.37 moles of Cl2, therefore:
3 Cl2 = 2 AlCl3
4.37 Cl2 = x AlCl3
x = 2.91 moles of AlCl3 are produced