Question

find the frequency factor at 273 k for the decomposition of nitrogen dioxide, which has the reaction: 2no2(g) → 2no(g) + o2(g) the activation energy of the reaction is 111 kj/mol and the rate constant is 1.0 x 10-22 s-1. round to two decimal places.

Answer 1

0.17 s⁻¹

Step-by-step explanation:

Step 1: Given data

• Temperature of the reaction (T): 273 K

• Activation energy (Ea): 111 kJ/mol

• Rate constant (k): 1.0 × 10⁻²² s⁻¹

• Ideal gas constant (R): 8.314 × 10⁻³ kJ/mol.K

• Frequency factor (A): ?

Step 2: Calculate the frequency factor

We will use the Arrhenius equation.

ln k = lnA - (Ea/R).(1/T)

lnA = ln k + (Ea/R).(1/T)

lnA = ln 1.0 × 10⁻²² s⁻¹ + [(111 kJ/mol)/(8.314 × 10⁻³ kJ/mol.K)].(1/273K)

A = 0.17 s⁻¹