Q6: In a reaction vessel, reactant A forms two different products P₁ and P2 in two individual first order reactions with activation energies of Eal and Ea2 (respectively) as follows, A k₂ Ę₂ = P₁ Show that the total observed activation energy Ea can be written as, k₁. Ea1 + K₂.E₂2 k₁+ k₂

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**Q 6:** In a reaction vessel, reactant A forms two different products \( P_1 \) and \( P_2 \) in two individual first order reactions with activation energies of \( E_{a1} \) and \( E_{a2} \) (respectively) as follows,

[Diagram]
- Reactant A leads to two separate reactions:
  - With rate constant \( k_1 \), forming product \( P_1 \).
  - With rate constant \( k_2 \), forming product \( P_2 \).

**Show that the total observed activation energy \( E_a \) can be written as:**

\[
E_a = \frac{k_1 \cdot E_{a1} + k_2 \cdot E_{a2}}{k_1 + k_2}
\]
Transcribed Image Text:**Q 6:** In a reaction vessel, reactant A forms two different products \( P_1 \) and \( P_2 \) in two individual first order reactions with activation energies of \( E_{a1} \) and \( E_{a2} \) (respectively) as follows, [Diagram] - Reactant A leads to two separate reactions: - With rate constant \( k_1 \), forming product \( P_1 \). - With rate constant \( k_2 \), forming product \( P_2 \). **Show that the total observed activation energy \( E_a \) can be written as:** \[ E_a = \frac{k_1 \cdot E_{a1} + k_2 \cdot E_{a2}}{k_1 + k_2} \]
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