Collision Model

AP Chemistry· difficulty 4/5

A reaction's rate doubles when T rises from 298 K to 308 K. Using ln(k₂/k₁) = (Eₐ/R)(1/T₁ − 1/T₂), Eₐ is roughly

  • A

    5 kJ/mol

  • B

    53 kJ/mol

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  • C

    20 kJ/mol

  • D

    200 kJ/mol

Explanation

ln 2 ≈ 0.693; (1/298 − 1/308)/R ≈ 1.31×10⁻⁵ /(8.314 J/mol·K) → Eₐ ≈ 0.693·R/(1.09×10⁻⁴) ≈ 53 kJ/mol.

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