Answer: 
a) 0.253 
Explanation: 
2H₂ + O₂ ⟶ 2H₂O 
We want to convert moles of H₂O to moles of H₂. 
Choose the conversion factor (the correct molar ratio) 
It is or either 2 mol H₂/2 mol H₂O or 2 mol H₂O/2mol H₂ 
We choose the one with the desired units (mol H₂) on top. 
Moles of H₂ = 0.253 mol H₂O × 2 mol H₂/2 mol H₂O 
Moles of H₂ = 0.253 mol H₂