Question

Given $K_p$ for $2AO_2 + O_2 \rightleftharpoons 2AO_3$ is $4 \times 10^{10}$. Find $K_p'$ for $3AO_3 \rightleftharpoons 3AO_2 + \frac{3}{2} O_2$.

• A. $1.25 \times 10^{-16}$
• B. $1.25 \times 10^{16}$
• C. $8 \times 10^{16}$
• D. $8 \times 10^{-16}$

Hint:

For $aA \rightleftharpoons bB$, $K_{rev} = 1/K$. Scaling reaction: $K_{new} = K^n$, n = factor multiplied. Keep units consistent.

Answer 1

The Correct Option is A

• Original reaction: $K_1 = 4 \times 10^{10}$
• Reverse reaction: $K_{rev} = 1/K_1 = 2.5 \times 10^{-11}$
• Scaling factor $n = 3/2$ of original equation: $K' = K_{rev}^{n} = (2.5 \times 10^{-11})^1.5 \approx 1.25 \times 10^{-16}$.