Problem 21
In an experiment, the concentration of a reactant was tripled. The rate increased by a factor of \(27 .\) What is the order of the reaction with respect to that reactant?
Problem 22
Biological reactions usually involve the interaction of an enzyme with a substrate, the substance that actually undergoes the chemical change. In many cases, the rate of reaction depends on the concentration of the enzyme but is independent of the substrate concentration. What is the order of the reaction with respect to the substrate in such instances?
Problem 23
Rearrange the integrated rate equations for (a) a first-order reaction, (b) a second-order reaction, and (c) a zero-order reaction to calculate \([A]_{t}\). Use the symbol \([A]_{0}\) to represent the initial concentration if needed.
Problem 24
How is the half-life of a first-order reaction affected by the initial concentration of the reactant?
Problem 26
How is the half-life of a zero-order reaction affected by the initial reactant concentration?
Problem 28
The integrated rate law for a zero-order reaction is $$[A]_{t}=-k t+[A]_{0}$$ Derive an equation for the half-life of a zero-order reaction.
Problem 30
What is the basic postulate of collision theory?
Problem 31
What two factors influence the effectiveness of molecular collisions in producing chemical change?
Problem 32
In terms of the kinetic theory, why does an increase in temperature increase the reaction rate?
Problem 34
What does the transition state theory attempt to describe about chemical reactions?