Consider the reaction: A + B −> C

If it is 2nd order in A and 0 order in B, a plot of [B]−1 vs time will be...

a. linear and negative
b. exponential and negative
c. linear and positive
d. equal to zero
e. exponential and positive

Here is your answer.

http://www.chm.davidson.edu/vce/kinetics/integratedratelaws.html

To determine the plot of [B]^-1 vs time for a reaction that is 2nd order in A and 0 order in B, we need to understand the rate equation of the reaction.

The rate equation for a reaction is given by:

Rate = k[A]^m[B]^n

Where k is the rate constant, [A] and [B] are the concentrations of reactants A and B, and m and n are the orders of the reaction with respect to A and B, respectively.

In this case, it is given that the reaction is 2nd order in A and 0 order in B. So the rate equation becomes:

Rate = k[A]^2[B]^0

Simplifying this, we get:

Rate = k[A]^2

Since the concentration of B does not affect the rate of the reaction, plotting [B]^-1 vs time would yield a constant value because [B] does not change over time.

Therefore, the correct answer is:

d. equal to zero