The high-energy fuel 1,1-dimethylhydrazine reacts spontaneously with oxygen to give gaseous products according to the following reaction:

N₂H₂(CH₃)₂ (l) + O₂ (g) → CO₂ (g) + H₂O (g) + N₂ (g)    (unbalanced)

If 50.0 kg of this fuel is reacted with the same mass of oxygen, which of the two reactants will serve as the limiting reagent?

Shown below is a representation of a reaction mixture. A reaction proceeds according to the following balanced chemical equation: X₂ + 2 Y → 2 XY. Find the theoretical yield of the product. 

Consider 5.15 mol of aluminum metal is reacting 4.29 mol of oxygen. Calculate the aluminum oxide formed. 

Identify the limiting reagent if  212.5 g solid CaCO₃ is allowed to react with 160.0 g HCl and 46.8 grams of CO₂ is produced.

The balanced reaction is shown below: 

CaCO₃(s) + 2 HCl(aq) → CaCl₂(aq) + CO₂(g) + H₂O(l)

Calculate the moles of NO₂(g) required to react with 4.04 moles of H₂O to produce 10.76 moles of HNO₃

The balanced reaction is shown below:

3 NO₂ (g) + H₂O (l) → 2 HNO₃ (l) + NO (g)