
William W. answered 03/09/24
Math and science made easy - learn from a retired engineer
Start by balancing the chemical reaction equation:
Mg + 2HCl → MgCl2 + H2
Remember this chemical reaction equation is in units of moles, 1 mole of Mg combined with 2 moles of HCl will yield 1 mole of MgCl2 and one mole of H2
So to use the balanced chemical reaction equation, we must first convert the 20.0 g of Mg into moles of Mg. To do that, we go to the Periodic Table to get the molar mass of Mg. It is 24.305 g/mole.
So, # of moles of Mg = (20.0 g)/(24.305 g/mole) = 0.8229 moles. Since it takes 1 mole of Mg to make 1 mole of MgCl2 then there is 0.8229 moles of MgCl2 produced. Since the question doesn't specify whether they are looking for moles of MgCl2 or mass of MgCl2, I'm going to guess they want mass.
Since we know there are 0.8229 moles of MgCl2 produced, we can calculate mass by again using the molar mass to convert.
Calculate molar mass of MgCl2:
Mg: 24.305 x 1 = 24.305 g/mole
Cl: 35.453 x 2 = 70.906 g/mole
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MgCl2 = 95.211 g/mole
Mass of MgCl2 = (0.8229 moles of MgCl2)(95.211 g/mole of MgCl2) = 78.3 g MgCl2