Calculating K

Related Examples and Practice Problems

Additional Worked Out Examples/ Practice

  • Basic Calculation of Kc: Use the balanced chemical equation and equilibrium concentrations of reactants and products to calculate Kc

  • Separation techniques: Selected and explaining limitation of appropriate separation

  • Relating Properties to Composition: Predicting classification based on descriptive properties

Topic Summary & Highlights
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Core Concept

The equilibrium constant quantifies the ratio of the concentrations (or partial pressures) of products to reactants at equilibrium for a given chemical reaction.

There are two forms of equilibrium constants:

  • Kc​: Based on molar concentrations (mol/L).

  • Kp​: Based on partial pressures (atm).

For a generic reaction: aA + bB ⇌ cC + dD

The equilibrium constant is expressed as:

$K_c = \frac{[\text{C}]^c[\text{D}]^d}{[\text{A}]^a[\text{B}]^b}$

$K_p = \frac{(P_{\text{C}})^c (P_{\text{D}})^d}{(P_{\text{A}})^a (P_{\text{B}})^b}$

Practice Tips

  • Check Stoichiometry: Ensure coefficients in the balanced equation are correctly applied in the K expression.

  • Keep Units Consistent: Use concentrations for Kc​ and partial pressures for Kp​.

  • Temperature Matters: If solving for Kp​ using Kc​, remember to convert temperature to Kelvin.

  • Don’t Include Solids or Liquids: Pure solids and liquids do not appear in the K expression because their concentrations are constant.

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Core Concept

The equilibrium constant quantifies the ratio of the concentrations (or partial pressures) of products to reactants at equilibrium for a given chemical reaction.

There are two forms of equilibrium constants:

  • Kc​: Based on molar concentrations (mol/L).

  • Kp​: Based on partial pressures (atm).

For a generic reaction: aA + bB ⇌ cC + dD

The equilibrium constant is expressed as:

$K_c = \frac{[\text{C}]^c[\text{D}]^d}{[\text{A}]^a[\text{B}]^b}$

$K_p = \frac{(P_{\text{C}})^c (P_{\text{D}})^d}{(P_{\text{A}})^a (P_{\text{B}})^b}$

Example Problem: Calculate Kc​ Using Equilibrium Concentrations

For the reaction: $\text{H}_2(g) + \text{I}_2(g) \rightleftharpoons 2\text{HI}(g)$

Given:

  • $[\text{H}_2] = 0.10 \, \text{M}$

  • $[\text{I}_2] = 0.10 \, \text{M}$

  • $[\text{HI}] = 0.80 \, \text{M}$

Solution:

  1. Write the expression for Kc​: $K_c = \frac{[\text{HI}]^2}{[\text{H}_2][\text{I}_2]}$

  2. Substitute values: $K_c = \frac{(0.80)^2}{(0.10)(0.10)} = \frac{0.64}{0.01} = 64.0$

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