Question

Cynthia has 200kg of magnesium. Calculate how much MgCl2 she can make.

Mg + Cl2 = MgCl2

Answer 1

784.4kg

Step-by-step explanation:

Given parameters:

Mass of Mg = 200kg

Unknown:

Mass of MgCl₂ = ?

Solution:

The reaction equation is given as:

Mg + Cl₂ → MgCl₂

Find the number of moles of the given specie;

Number of moles of Mg =
`(mass)/(molar mass)` =
`(200000)/(24.3)` = 8230.5mole

So;

1 mole of Mg will produce 1 mole of MgCl₂

8230.5mole of Mg will produce 8230.5mole of MgCl₂

Mass of MgCl₂ = number of moles x molar mass

Molar mass of MgCl₂ = 24.3 + 2(35.5) = 95.3g/mol

Mass of MgCl₂ = 8230.5mole x 95.3g/mol = 784.4kg