The reaction forms 0.112 mol H_2. Â
We have the masses of two reactants, so this is a limiting reactant problem.
We know that we will need a balanced equation with masses, moles, and molar masses of the compounds involved. Â
Step 1. Gather all the information in one place with molar masses above the formulas and everything else below them. Â
M_r: __89.64 ___18.02 ___________2.016
______SrH_2 + 2H_2O → Sr(OH)_2 + 2H_2
Mass/g: 5.00 ___5.47
Step 2. Calculate the moles of each reactant Â
Moles of SrH_2 = 5.00 g SrH_2 × (1 mol SrH_2 /89.64 g SrH_2)
= 0.055 77 mol SrH_2
Moles of H_2O = 5.47 g H_2O × (1 mol H_2O/18.02 g H_2O)
= 0.3036 mol H_2O
Step 3. Identify the limiting reactant
Calculate the moles of H_2 we can obtain from each reactant. Â
From SrH_2: Moles of H_2 = 0.055 77 mol SrH_2 × (2 mol H_2 /1 mol SrH_2) = 0.112 mol H_2
From H_2O: Moles of H_2 = 0.3036 mol H_2O × (2 mol H_2/2 mol H_2O)
= 0.3036 mol H_2
SrH_2 is the limiting reactant because it gives the smaller amount of H_2.
It produces 0.112 mol H_2.