Molar Ratio

Core Concept

Mole ratio is the ratio of the moles of one substance to the moles of another substance in a balanced chemical equation. Mole ratios are essential in stoichiometry as they allow us to calculate the amounts of reactants and products involved in a chemical reaction.

Practice Tips

  • Write the Fraction First: Always set up your ratio as a fraction with the "unknown" substance on top and the "given" substance on the bottom.

  • Cancel Your Units: Ensure the substance you are converting from is in the denominator so that the units cancel out mathematically.

  • Ignore Subscripts: When pulling numbers for your ratio, only use the large coefficients in front of the molecules, not the small subscripts within them.

  • Re-Check Balance: If your final calculation feels wrong, double-check that your initial chemical equation was balanced correctly, as one wrong coefficient ruins the ratio.

Test Yourself

Assorted Multiple Choice
In the reaction where two moles of aluminum react with three moles of chlorine gas to produce two moles of aluminum chloride, what is the molar ratio of chlorine gas to aluminum chloride?

Practice Problems & Worked Out Examples 🔒

Key Concepts

  1. Understanding Mole Ratio:

    • The mole ratio is determined from the coefficients in a balanced chemical equation.

    • These coefficients represent the number of moles of each reactant and product.

    • For example, in the reaction 2H₂ + O₂ → 2H₂O, the mole ratio of H₂ to O₂ is 2:1, and the mole ratio of H₂ to H₂O is 2:2, which simplifies to 1:1.

Example Problem: Using Mole Ratios in a Reaction

Problem: In the reaction below, how many moles of $\text{H}_2\text{O}$ are produced if 4.0 moles of $\text{O}_2O2​ react completely?

$2\text{H}_2 + \text{O}_2 \rightarrow 2\text{H}_2\text{O}$

Solution:

  1. Write and Balance the Equation:

    • The equation is already balanced.

  2. Identify the Mole Ratio:

    • The mole ratio of O₂​ to H₂O is 1:2, as indicated by the coefficients.

  3. Set Up the Conversion:

    • To find the moles of H₂O from 4.0 moles of O₂, use the mole ratio:

      $4.0 \, \text{moles O}_2 \times \frac{2 \, \text{moles H}_2\text{O}}{1 \, \text{mole O}_2} = 8.0 \, \text{moles H}_2\text{O}$

Answer: 8.0 moles of H₂O are produced.

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