A particular first-order reaction has a rate constant of 1.35 × 10² s^-1 at 25.0°C.What is the magnitude of k at 95.0°C if E_a = 55.5 kJ/mol?

Question

Quizplus · Accepted Answer

We can use the Arrhenius equation to find the new value of k at 95.0°C:
ln(k2/k1) = Eₐ/R [(1/T1) - (1/T2)]
ln(k2/1.35 × 10¹² s⁻¹) = (55.5 kJ/mol)/(8.314 J/K/mol) [(1/298 K) - (1/368 K)]
ln(k2/1.35 × 10¹² s⁻¹) = 15.62
k2/1.35 × 10¹² s⁻¹ = e¹⁵.⁶²
k2 = 9.56 × 10¹³ s⁻¹
Therefore, the answer is A.

A Particular First-Order Reaction Has a Rate Constant of 1