Given the following information: SO2(g) + 12 O2(g) = SO3(g) Kp = 2.5E-2 What is the Kp value for the following reaction: 2 SO2(g) + O2(g) = 2 SO3(g)

Answer:
K = 6.25x10⁻⁴
Explanation:
Based on the reaction:
SO₂ + 1/2 O₂ ⇄ SO₃ Kp = 2.5x10⁻²
We can find the Kp of a similar reaction using Hess's law where the sum of 2 reactions a and b produce a K that is:
K = Ka*Kb
The sum of twice the reaction of the problem:
SO₂ + 1/2 O₂ ⇄ SO₃
+ SO₂ + 1/2 O₂ ⇄ SO₃
2SO₂ + O₂ ⇄ 2SO₃
Where K must be:
K = Kp*Kp = Kp²
K = (2.5x10⁻²)²