Chemical KineticshardMCQ MULTIPLE

Consider the following first-order decomposition reaction: A4(g) → 4A(g). Which of the following staChemical Kinetics Chemistry Question

Question

Consider the following first-order decomposition reaction: A4(g) → 4A(g). Which of the following statement(s) is/are correct regarding the reaction? (Graph showing curves for [A] and [A4] intersecting at 30 min)

Answer: A,B,D

💡 Solution & Explanation

At intersection (30 min), [A4] = [A], meaning A0 - x = 4x. Thus x = A0/5. Reaction is 20% complete. k = (1/30)ln(1.25). t1/2 = ln 2 / k ≈ 93 min. Rate decreases exponentially, not linearly. Intersection condition A0 e^-kt = A0 (1 - e^-kt) * 4 cancels A0 out entirely, making it independent of initial concentration. Therefore, correct answer is A,B,D.

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