Answer: option C. 0.0547 s^ -1
Step-by-step explanation:
The rate constant is a numerical value that relates the rate of reaction with the concentrations of the reactants.
The rate constant is the constant of proportionality between the rate of the reaction and the concentrations of the reactants.
The greater the rate constant the greater the rate of reaction.
The units of the rate constant depend of the degree of the reaction.
For a first degree reaction the units may be s^-1 or min^-1, among others.
Compare A with B: 4.48 * 10 - 5 min^-1 is slower than 4.48 * 10 ^ -5 s^ -1 (it is faster to change a given amount in a second than in a minute).
For the same reason 0.0547 s^ -1 is faster than 0.0547 mni ^ -1.
Now compare 4.48 * 10^ - 5 s^ -1 with 0.0547 s ^ -1. The number 0.0547 is greater than 4.48 * 10^ - 5, so it is faster 0.0547 s^ - 1 than 4.48 * 10^ -5 s^ -1.
And that. 0.0547 s^ -1, is the fastest of all, i.e. the one that converts reactants to products in the least amount of fime.