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What is the relationship between ΔG and the equilibrium constant (K)?

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Question: What is the relationship between ΔG and the equilibrium constant (K)?

Options:

  1. ΔG = -RT ln(K)
  2. ΔG = RT ln(K)
  3. ΔG = KRT
  4. ΔG = K - RT

Correct Answer: ΔG = -RT ln(K)

Solution:

The relationship is given by ΔG = -RT ln(K), where R is the gas constant and T is the temperature in Kelvin.

What is the relationship between ΔG and the equilibrium constant (K)?

Practice Questions

Q1
What is the relationship between ΔG and the equilibrium constant (K)?
  1. ΔG = -RT ln(K)
  2. ΔG = RT ln(K)
  3. ΔG = KRT
  4. ΔG = K - RT

Questions & Step-by-Step Solutions

What is the relationship between ΔG and the equilibrium constant (K)?
  • Step 1: Understand that ΔG represents the change in free energy of a reaction.
  • Step 2: Know that K is the equilibrium constant, which tells us the ratio of products to reactants at equilibrium.
  • Step 3: Learn the formula that connects ΔG and K: ΔG = -RT ln(K).
  • Step 4: Identify R as the gas constant, which is a specific value used in calculations.
  • Step 5: Recognize that T is the temperature measured in Kelvin.
  • Step 6: Realize that if K is greater than 1, ΔG is negative, indicating the reaction favors products.
  • Step 7: Conversely, if K is less than 1, ΔG is positive, indicating the reaction favors reactants.
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