# Problem: Give the characteristic of a second-order reaction having only one reactant. Group of answer choices: a. The rate of the reaction is proportional to the natural logarithm of the concentration of the reactant. b. The rate of the reaction is not proportional to the concentration of the reactant. c. The rate of the reaction is proportional to the square of the concentration of the reactant. d. The rate of the reaction is proportional to the square root of the concentration of the reactant. e. The rate of the reaction is directly proportional to the concentration of the reactant.

###### FREE Expert Solution

We’re being asked to determine the characteristic of a second-order reaction having only one reactant.:

The integrated rate law for a second-order reaction is as follows:

$\overline{)\frac{\mathbf{1}}{{\mathbf{\left[}\mathbf{A}\mathbf{\right]}}_{\mathbf{t}}}{\mathbf{=}}{\mathbf{kt}}{\mathbf{+}}\frac{\mathbf{1}}{{\mathbf{\left[}\mathbf{A}\mathbf{\right]}}_{\mathbf{0}}}}$

where:

[A]t = concentration at time t
k = rate constant
t = time
[A]0 = initial concentration

On the other hand, the rate law for a second-order reaction is as follows:

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###### Problem Details

Give the characteristic of a second-order reaction having only one reactant.

a. The rate of the reaction is proportional to the natural logarithm of the concentration of the reactant.

b. The rate of the reaction is not proportional to the concentration of the reactant.

c. The rate of the reaction is proportional to the square of the concentration of the reactant.

d. The rate of the reaction is proportional to the square root of the concentration of the reactant.

e. The rate of the reaction is directly proportional to the concentration of the reactant.