For the reaction N2 + O2 2NO, the value of K is 0.0842 at 3500 K. Calculate the fraction of equilibrium mixture of N2 and O2 converted into NO.
Correct answer: D. 16.9%
- A. 15.0%
- B. 16.3%
- C. 16.5%
- D. 16.9%
Explanation
To find the fraction of N2 and O2 converted into NO at equilibrium, we define x as the fraction converted. The equilibrium concentrations can be expressed as [NO] = 2x, [N2] = (1 - x), and [O2] = (1 - x). Using the equilibrium constant expression K = (2x)^2 / ((1 - x) * (1 - x)), we substitute K = 0.0842 and simplify to form a quadratic equation: 4.0842x^2 - 0.1684x - 0.0842 = 0. Solving this equation gives x ≈ 0.169, which translates to approximately 16.9%. Therefore, Option D is correct. Other options result from calculation errors or incomplete solutions, leading to incorrect fractions of conversion.
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