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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

Determine which of the two diagrams here (both for the same reaction) involves a catalyst, and identify the activation energy for the catalyzed reaction:

(a) Multiply 2.334 cm and 0.320 cm.(b) Divide 55.8752 m by 56.53 s.

Acetaldehyde decomposes when heated to yield methane and carbon monoxide according to the equation: \({\bf{C}}{{\bf{H}}_{\bf{3}}}{\bf{CHO}}\)(g) ⟶\({\bf{C}}{{\bf{H}}_{\bf{4}}}\)(g) +\({\bf{CO}}\)(g)

Determine the rate law and the rate constant for the reaction from the following experimental data:

Trial

(\({\bf{C}}{{\bf{H}}_{\bf{3}}}{\bf{CHO}}\)) (mol/L)

\(\frac{{ - \Delta \left( {{\bf{C}}{{\bf{H}}_{\bf{3}}}{\bf{CHO}}} \right)}}{{\Delta t}}\)(mol )(Ls−1)

1.

1.75 × 10−3

2.06 × 10−11

2.

3.50 × 10−3

8.24 × 10−11

3.

7.00 × 10−3

3.30 × 10−10

In a transesterification reaction, a triglyceride reacts with an alcohol to form an ester and glycerol. Many students learn about the reaction between methanol (\({\bf{C}}{{\bf{H}}_{\bf{3}}}{\bf{OH}}\)) and ethyl acetate (\({\bf{C}}{{\bf{H}}_{\bf{3}}}{\bf{C}}{{\bf{H}}_{\bf{2}}}{\bf{OCOC}}{{\bf{H}}_{\bf{3}}}\)) as a sample reaction before studying the chemical reactions that produce biodiesel:

\({\bf{C}}{{\bf{H}}_{\bf{3}}}{\bf{OH + C}}{{\bf{H}}_{\bf{3}}}{\bf{C}}{{\bf{H}}_{\bf{2}}}{\bf{OCOC}}{{\bf{H}}_{\bf{3}}}{\bf{ - - - C}}{{\bf{H}}_{\bf{3}}}{\bf{OCOC}}{{\bf{H}}_{\bf{3}}}{\bf{ + C}}{{\bf{H}}_{\bf{3}}}{\bf{C}}{{\bf{H}}_{\bf{2}}}{\bf{OH}}\).The rate law for the reaction between methanol and ethyl acetate is, under certain conditions, determined to be: rate =\(k\left( {{\bf{C}}{{\bf{H}}_{\bf{3}}}{\bf{OH }}} \right)\). What is the order of reaction with respect to methanol and ethyl acetate, and what is the overall order of reaction?

For the reaction\({\bf{A}} \to {\bf{B + C}}\), the following data were obtained at 30 °C:

  1. What is the order of the reaction with respect to (A), and what is the rate law?
  2. What is the rate constant?
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