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Magnesium will combine with oxygen gas to form magnesium oxide according to the balanced equation below. \( 2 \mathrm{Mg}+\mathrm{O}_{2} \rightarrow 2 \mathrm{MgO} \) 85 grams of magnesium metal and 125 grams of oxygen gas are allowed to react. If the reaction runs to completion, which reactant will be depleted (limiting reagent) first? Oxygen Both will deplete at the same time. Magnesium More information is needed in order to answer the question.

Ask by Deleon Bowers. in the United States
Feb 25,2025

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Magnesium is the limiting reagent and will be depleted first.

Solución

First, determine the moles of each reactant. For magnesium (Mg): • Molar mass of Mg ≈ 24.3 g/mol • Moles of Mg = 85 g / 24.3 g/mol ≈ 3.50 moles For oxygen (O₂): • Molar mass of O₂ ≈ 32.0 g/mol • Moles of O₂ = 125 g / 32.0 g/mol ≈ 3.91 moles The balanced equation is: 2 Mg + O₂ → 2 MgO This tells us that 2 moles of magnesium react with 1 mole of oxygen. To react with 3.50 moles of magnesium, the amount of oxygen needed is: Required moles of O₂ = (3.50 moles Mg) × (1 mole O₂ / 2 moles Mg) = 1.75 moles O₂ Since there are 3.91 moles of O₂ available (which is more than the 1.75 moles required), oxygen is in excess. Thus, magnesium is the limiting reagent because it will run out before oxygen does. Answer: Magnesium

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To determine the limiting reagent, we first need to calculate the number of moles of each reactant. The molar mass of magnesium (Mg) is about 24.31 g/mol, so 85 grams of magnesium is approximately 3.5 moles. The molar mass of oxygen (O₂) is about 32 g/mol, so 125 grams of oxygen is about 3.9 moles. According to the balanced equation, we need 1 mole of O₂ for every 2 moles of Mg, which means we would need about 1.75 moles of O₂ to react with 3.5 moles of Mg. Since we have more than enough oxygen, magnesium will be the limiting reagent and will deplete first. This reaction is a classic in chemistry classrooms because it beautifully illustrates how stoichiometry works in real-world applications. Beyond the classroom, this type of reaction is essential in industrial settings, such as the production of magnesium oxide, which is used in refractory materials, electronics, and even as a food additive. Understanding the limiting reagent helps chemists optimize reactions in various manufacturing processes, resulting in both efficiency and cost-effectiveness!

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