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.

  • 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
A constant current is passed through an electrolytic cell for 45.0 minutes, delivering a total charge of 8,100 Coulombs. How many moles of electrons were transferred during this process? (Faraday's constant = 96,485 C/mol e⁻)

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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