How many grams of magnesium metal will react completely with 8.3 liters of 5.5m hcl? show all work

Ans: Mass of Mg is around 548 grams

Given:

Volume of HCl = 8.3 L

Molarity of HCl = 5.5 M

To determine:

The mass of Mg in grams

Explanation:

Chemical reaction

Mg + 2HCl MgCl2 + H2

Based on the reaction stoichiometry:

1 mole of Mg reacts with 2 moles of Hcl

# moles of HCl = Molarity*volume = 5.5/8.3 = 45.65 moles

Therefore, moles of Mg = 1/2* moles of HCl = 45.65/2 = 22.83 moles

Atomic mass of Mg = 24 g/mol

Mass of Mg = 24 g/mol * 22.83 moles = 547.9 g

the formula mass of a molecule or a compound is the sum of the atomic weights of the atoms in its empirical formula

(that's what i know about formula mass)