Estimate Ea (R = 8.314 J/mol·K).

55 kJ/mol ln(4) = -Ea/R × (1/320 - 1/300). 1/320 - 1/300 = -2.083e-4. Ea = -ln(4)·R / (-2.083e-4) ≈ 55,300 J/mol = 55 kJ/mol.

Collision Model

AP Chemistry· difficulty 4/5

Using ln(k2/k1) = -Ea/R \cdot (1/T2 - 1/T1), at T1 = 300 K, k1 = 1.0 \times 10^-3 s^-1; at T2 = 320 K, k2 = 4.0 \times 10^-3 s^-1.

Estimate Ea (R = 8.314 J/mol\cdotK).

Explanation

ln(4) = -Ea/R \times (1/320 - 1/300). 1/320 - 1/300 = -2.083e-4. Ea = -ln(4)\cdotR / (-2.083e-4) \approx 55,300 J/mol = 55 kJ/mol.

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