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The equilibrium constant for the reaction 2SO2(g) + O2(g) ⇌ 2SO3(g) is 4. What i

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Question: The equilibrium constant for the reaction 2SO2(g) + O2(g) ⇌ 2SO3(g) is 4. What is the value of Kp? (2023)

Options:

  1. 4
  2. 16
  3. 0.25
  4. 0.0625

Correct Answer: 16

Exam Year: 2023

Solution:

Kp can be calculated from Kc using the relation Kp = Kc(RT)^(Δn), where Δn is the change in moles of gas. Here, Δn = 2 - 3 = -1, so Kp = Kc(0.0821T)^(-1). Assuming standard conditions, Kp = 4 * (1/RT) = 16.

The equilibrium constant for the reaction 2SO2(g) + O2(g) ⇌ 2SO3(g) is 4. What i

Practice Questions

Q1
The equilibrium constant for the reaction 2SO2(g) + O2(g) ⇌ 2SO3(g) is 4. What is the value of Kp? (2023)
  1. 4
  2. 16
  3. 0.25
  4. 0.0625

Questions & Step-by-Step Solutions

The equilibrium constant for the reaction 2SO2(g) + O2(g) ⇌ 2SO3(g) is 4. What is the value of Kp? (2023)
  • Step 1: Identify the given equilibrium constant Kc, which is 4.
  • Step 2: Write down the reaction: 2SO2(g) + O2(g) ⇌ 2SO3(g).
  • Step 3: Determine the change in moles of gas (Δn). Count the moles of gas on the reactant side (3 moles: 2 from SO2 and 1 from O2) and the product side (2 moles from SO3).
  • Step 4: Calculate Δn: Δn = moles of products - moles of reactants = 2 - 3 = -1.
  • Step 5: Use the formula Kp = Kc(RT)^(Δn). Here, R is the gas constant (0.0821 L·atm/(K·mol)) and T is the temperature in Kelvin. Assume standard conditions (T = 298 K).
  • Step 6: Substitute the values into the formula: Kp = 4 * (0.0821 * 298)^(-1).
  • Step 7: Calculate (0.0821 * 298) to find the value of RT.
  • Step 8: Take the reciprocal of RT to find (RT)^(-1).
  • Step 9: Multiply Kc by (RT)^(-1) to find Kp.
  • Step 10: Conclude that Kp = 16.
  • Equilibrium Constants – Understanding the relationship between Kp and Kc, and how to calculate Kp using the change in moles of gas (Δn).
  • Gas Laws – Application of the ideal gas constant (R) and temperature (T) in the context of equilibrium calculations.
  • Stoichiometry – Calculating Δn based on the stoichiometry of the balanced chemical equation.
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