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Chapter 12: Q12E (page 702)

How do the rate of a reaction and its rate constant differ?

Short Answer

Expert verified

The rate of a reaction is proportional to its rate constant, and it typically increases with the concentration of reactants.

Step by step solution

01

Rate of reaction

A rate of reaction is a change in concentration per unit of time

\(\begin{array}{l}{\bf{Rate for A }} \to {\bf{B:}}\\{\bf{Rate = }}\,\frac{{{\bf{\Delta (B)}}}}{{{\bf{\Delta t}}}}{\bf{ = - }}\frac{{{\bf{\Delta (A)}}}}{{{\bf{\Delta t}}}}\end{array}\)

The rate of a reaction is proportional to its rate constant, and it typically increases with the concentration of reactants.

02

Rate constant

Rate = K[A]m [B]n

A rate constant (K) is a characteristic property of a reaction that indicates its intrinsic speed of reaction; the high value of the rate constant is characteristic of a rapid reaction. The rate constant for a given reaction does not change unless the temperature changes.

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Most popular questions from this chapter

In terms of collision theory, to which of the following is the rate of a chemical reaction proportional?

(a) the change in free energy per second

(b) the change in temperature per second

(c) the number of collisions per second

(d) the number of product molecules

The rate of a certain reaction doubles for every 10°C rise in temperature.

(a) How much faster does the reaction proceed at 45°C than at 25°C?

(b) How much faster does the reaction proceed at 95°C than at 25°C?

If the rate of decomposition of ammonia, \({\bf{N}}{{\bf{H}}_{\bf{3}}}\), at 1150 K is \(2.10 \times 1{0^{ - 6}}mol/L/s\), what is the rate of production of nitrogen and hydrogen?

How much and in what direction will each of the following effect the rate of the reaction:

CO(g) + \({\bf{NO}}{}_{\bf{2}}\) (g)⟶ \({\bf{CO}}{}_{\bf{2}}\) (g) + NO(g) if the rate law for the reaction is rate =\({\bf{k(NO}}{}_{\bf{2}}{{\bf{)}}^{\bf{2}}}{\bf{a}}\)?

  1. Decreasing the pressure of \({\bf{NO}}{}_{\bf{2}}\) from 0.50 atm to 0.250 atm.
  2. Increasing the concentration of CO from 0.01 M to 0.03 M.

Both technetium-99 and thallium-201 are used to image heart muscle in patients with suspected heart problems. The half-lives are 6 h and 73 h, respectively. What percent of the radioactivity would remain for each of the isotopes after 2 days (48 h)?
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