Problem: A series of experiments were performed to determine the rate constant for the reaction 2H2S(g) + 3O2(g) → 2H2O(g) + 2SO2(g)at different temperatures. A plot of ln k against 1/T was a straight line with a slope of −1.5275x104 and intercept of 23.6. What is the frequency factor?a) 196.2b) 23.6c) 1.5275x104d) 5.63x10−11e) 1.78x1010

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We’re being asked to determine the frequency factor (A) of a reaction given that the plot of ln k vs. 1/T has a slope of −1.5275 × 104 and an intercept of 23.6.


We’re given the plot of ln k (y) vs. 1/T (x)


This means we need to use the two-point form of the Arrhenius Equation:


ln k=-EaR 1T + ln A


where: 

k = rate constant

Ea = activation energy (in J/mol)

R = gas constant (8.314 J/mol • K)

T = temperature (in K)

A = Arrhenius constant or frequency factor


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Problem Details

A series of experiments were performed to determine the rate constant for the reaction 

2H2S(g) + 3O2(g) → 2H2O(g) + 2SO2(g)

at different temperatures. A plot of ln k against 1/T was a straight line with a slope of −1.5275x104 and intercept of 23.6. What is the frequency factor?

a) 196.2

b) 23.6

c) 1.5275x104

d) 5.63x10−11

e) 1.78x1010

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