In a reaction, reactant X is converted to products Y and Z consecutively with rate constants 6.0 × 10⁻² min⁻¹… · ABC26PH0380

Subject: Physical Chemistry · Chapter: Chemical Kinetics · Topic: Chemical Kinetics – General · Exam: GATE 2005-2021 · Marks: 2 · Difficulty: Medium

In a reaction, reactant X is converted to products Y and Z consecutively with rate constants $6.0 \times 10^{-2} \mathrm{min}^{-1}$ and $9.0 \times 10^{-3} \mathrm{min}^{-1}$, respectively. If the initial amount of X is 12.5 moles, the number of moles (rounded off to one decimal place) of Y formed after 10 minutes is ____
Answer
SELF-PRACTICE — the source book printed no answer.

Nothing is invented here, so this question has no answer on record.

Explanation
Answer: ≈ 5.4 mol — Y = X₀·k₁/(k₂ − k₁)·(e^(−k₁t) − e^(−k₂t)) = 12.5 × 0.06/(−0.051) × (0.5488 − 0.9139) = 5.37 mol.

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