Integrated Rate Equations
Chemistry ⇒ Chemical Kinetics and Equilibrium
Integrated Rate Equations starts at 11 and continues till grade 12.
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A first-order reaction has a rate constant of 2.31 × 10-2 s-1. How long will it take for the concentration to drop to one-fourth of its initial value?
A reaction follows the rate law: rate = k[A]2. If the initial concentration of A is 0.5 mol/L and after 20 seconds it is 0.25 mol/L, calculate the rate constant k.
A reaction has a rate constant of 0.05 min-1. How long will it take for the concentration to fall to 1/8th of its original value in a first-order reaction?
A reaction has the rate law: rate = k[A]. If [A]0 = 0.6 mol/L and after 10 min [A] = 0.3 mol/L, what is the value of k?
A reaction is first-order in A. If the half-life is 20 min, what is the rate constant?
A reaction is first-order with respect to A. If the initial concentration is 0.4 mol/L, how much time will it take for the concentration to become 0.1 mol/L if k = 0.02 min-1?
A reaction is found to have a constant rate regardless of the concentration of reactant. What is the order of the reaction?
A reaction is second-order with respect to A. If [A]0 = 0.2 mol/L and k = 0.5 L mol-1 min-1, what is the half-life?
A reaction is zero-order in A. If [A]0 = 0.4 mol/L and k = 0.01 mol L-1 min-1, how long will it take for [A] to reach zero?
Describe how you would determine the order of a reaction using integrated rate equations and experimental data.
Explain why the half-life of a second-order reaction depends on the initial concentration.
Explain why the integrated rate law for a first-order reaction is useful in radioactive decay studies.
For a first-order reaction, if the initial concentration is 0.8 mol/L and after 30 minutes it is 0.2 mol/L, calculate the rate constant.
If a plot of ln[A] vs time gives a straight line with a negative slope, what does the slope represent?
If the plot of 1/[A] versus time is linear, what is the order of the reaction?
If the rate constant (k) for a first-order reaction is 0.693 min-1, what is its half-life?
If the rate constant for a zero-order reaction is 0.02 mol L-1 s-1 and the initial concentration is 0.5 mol/L, what is the half-life?
State the integrated rate law for a second-order reaction with respect to a single reactant.
The plot of ln[A] vs time for a first-order reaction has a slope of -0.03 min-1. What is the rate constant?
The rate constant for a first-order reaction is 0.346 min-1. What is the time required for the reactant concentration to decrease to 10% of its initial value?
