The reaction forms 0.112 mol H_2.
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.
Step 1. Gather all the information in one place with molar masses above the formulas and everything else below them.
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
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.
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.