
Stephanie O. answered 01/10/21
Med Student and Ivy League Grad for Epi, Math, and Science Tutoring
Magnesium chloride (MgCl2) has a molecular weight of 95.2 g/mol:
Cl2 = 2 chlorine atoms: 35.45 g/mol × 2 = 70.9 g/mol
Mg = 1 magnesium atom: 24.3 g/mol
24.3 g/mol + 70.9 g/mol = 95.2 g/mol
To calculate the number of moles are in 3.45 grams of MgCl2, we will do a stoichiometric conversion:
3.45 g MgCl2 × 1 mol MgCl2/95.2 g MgCl2 = 0.0362 moles MgCl2
The reason why we used the reciprocal 95.2 grams was to move the grams unit into the denominator. This would then cancel out grams on both sides, leaving moles in the numerator for the final answer. It may be more helpful for you to visualize this solution if you write the fractions vertically instead of horizontally like I did.