To determine which reactant is left in excess, we need to find the limiting reactant in the reaction between magnesium (Mg) and oxygen (O2) to form magnesium oxide (MgO). The balanced chemical equation for the reaction is:
2 \text{Mg} + \text{O}_2 \rightarrow 2 \text{MgO}
Step 1: Calculate the number of moles of each reactant.
For magnesium (Mg):
Given mass of Mg = 1.0 g
Molar mass of Mg = 24 g/mol
Number of moles of Mg = \frac{1.0}{24} = 0.0417 moles
For oxygen (O2):
Given mass of O2 = 0.56 g
Molar mass of O2 = 32 g/mol
Number of moles of O2 = \frac{0.56}{32} = 0.0175 moles
Step 2: Determine the limiting reactant.
The stoichiometry of the reaction shows that 2 moles of Mg react with 1 mole of O2.
Therefore, the mole ratio required for Mg to O2 is 2:1.
From the calculated moles:
Available mole ratio of Mg to O2 = \frac{0.0417}{0.0175} \approx 2.38
This is greater than 2:1, indicating that Mg is in excess and O2 is the limiting reactant.
Step 3: Calculate the amount of excess Mg.
Moles of Mg required to react with 0.0175 moles of O2 = 2 \times 0.0175 = 0.035 moles
Moles of excess Mg = 0.0417 - 0.035 = 0.0067 moles
Mass of excess Mg = 0.0067 \times 24 = 0.16 g
Conclusion: Magnesium (Mg) is left in excess, and the amount of excess Mg is 0.16 g.
Calculate the number of moles present in 9.10 × 1016 kg of water.