How Fast? The Rate of Chemical Change

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Contents: Rate of Reaction Measuring Rates of Reaction Collision Theory Factors Aecting Rates of Reaction Activation Energy Energy Proles With & Without Catalysts Maxwell-Boltzmann Distribution Curves Rate Equation (HL) Reaction Orders (HL) The Rate Constant (HL) Reaction Mechanisms (HL) Molecularity (HL) The Arrhenius Equation (HL) Determining Activation Energy & the Arrhenius Factor (HL)

103 Terms

1
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Define reaction rate.

Change in reactant or product concentration per unit time.

<p>Change in reactant or product concentration per unit time.</p>
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What are the usual units of reaction rate?

mol dm^-3 s^-1.

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How does reactant concentration change during a reaction?

It normally decreases as reactants are consumed.

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How does product concentration change during a reaction?

It normally increases as products form.

5
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How is instantaneous rate found from a graph?

Draw a tangent at the specified time and calculate its gradient.

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What does a steeper concentration-time gradient indicate?

A faster reaction at that time.

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What does a plateau on a gas-volume graph mean?

No further net gas production is being measured.

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How can gas production measure reaction rate?

Record gas volume against time using a gas syringe or collection over water.

9
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When is collecting gas over water appropriate?

When the gas has low solubility in water.

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How can mass loss measure rate?

Measure decreasing mass as gaseous product escapes.

11
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What is a limitation of mass-loss measurements?

Small mass changes, especially for light gases, may be difficult to detect.

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How does colorimetry monitor rate?

Track absorbance or transmitted light as the concentration of a coloured species changes.

13
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Why can coloured precipitates interfere with colorimetry?

They scatter or block light rather than simply absorbing it.

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How can titration be used to monitor rate?

Remove samples at known times, quench them, then titrate to find concentrations.

15
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What does quenching mean in rate experiments?

Stopping a sampled reaction so its composition can be analysed.

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When can conductivity be used to follow rate?

When the concentrations or mobilities of ions change during the reaction.

17
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What is a clock reaction?

A method measuring time to a fixed observable endpoint.

18
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Name variables to control in a rate investigation.

Temperature, concentrations not under study, volumes, surface area and catalyst conditions.

19
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What is collision theory?

Reaction occurs when particles collide with sufficient energy and suitable orientation.

20
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What is a successful collision?

A collision that leads to chemical reaction.

21
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Define collision frequency.

Number of collisions per unit time.

22
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What is activation energy (Ea)?

Minimum energy barrier that reacting particles must overcome.

23
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What if collision energy is below Ea?

The collision cannot produce the reaction.

24
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Why is collision orientation important?

Reacting parts of particles must meet in a suitable arrangement.

25
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How does increasing concentration affect rate?

More particles per volume cause more frequent successful collisions.

26
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How does increasing gas pressure affect rate at fixed temperature?

Higher particle concentration generally increases collision frequency and rate.

27
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How does increasing solid surface area affect rate?

More exposed particles can collide with the other reactant.

28
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How can surface area be increased?

Use smaller pieces or powder of the same solid.

29
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How does increasing temperature affect particle energy?

Mean kinetic energy increases, and a larger fraction exceeds Ea.

30
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Why does increasing temperature usually increase rate?

A greater fraction of collisions have enough energy; collisions may also be more frequent.

31
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Does raising temperature lower Ea?

No. It changes the energy distribution, not the barrier itself.

32
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How does a catalyst affect rate?

It provides an alternative mechanism with lower activation energy.

33
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Is a catalyst consumed overall?

No; it is regenerated by the end of the mechanism.

34
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What is a transition state?

A high-energy, unstable arrangement at the top of an energy barrier.

35
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How is Ea read from an energy profile?

Energy difference from reactants to the relevant transition-state peak.

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How is reaction enthalpy ΔHr read from a profile?

Energy of products minus energy of reactants.

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How does an exothermic energy profile look?

Products lie below reactants; ΔHr < 0.

38
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How does an endothermic energy profile look?

Products lie above reactants; ΔHr > 0.

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What is an intermediate?

A species formed in one elementary step and consumed in a later step.

40
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How is an intermediate shown on an energy profile?

As a local minimum between two transition-state peaks.

41
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What does a Maxwell–Boltzmann curve represent?

Distribution of particle kinetic energies at a given temperature.

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What does the area under a Maxwell–Boltzmann curve represent?

The total number or proportion of particles.

43
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Where is the most probable energy on the curve?

At the peak.

44
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What happens to the distribution at higher temperature?

The peak lowers and shifts right; the curve broadens.

45
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What happens to the fraction above Ea at higher temperature?

It increases.

46
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Does the area under the curve change when temperature rises?

Not if the total number of particles stays the same.

47
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How does a catalyst appear on a Maxwell–Boltzmann diagram?

The Ea threshold moves left; the energy distribution remains unchanged.

48
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Does a catalyst change ΔHr?

No; reactant and product energy levels are unchanged.

49
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What is homogeneous catalysis?

Catalyst and reactants are in the same phase.

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What is heterogeneous catalysis?

Catalyst and reactants are in different phases.

51
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What are enzymes?

Biological catalysts, usually proteins.

52
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Why can catalysts reduce industrial energy use?

Lower Ea allows useful reaction rates at less demanding conditions.

53
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What is a reaction mechanism?

The proposed sequence of elementary steps producing the overall reaction.

54
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What is an elementary step?

A single molecular event within a reaction mechanism.

55
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How is the overall equation obtained from a mechanism?

Add elementary steps and cancel intermediates and regenerated catalysts.

56
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Why is a mechanism considered a hypothesis?

Evidence can support or rule it out but may not uniquely establish it.

57
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What is the rate-determining step?

The slowest step that controls the overall rate under the stated conditions.

58
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What usually distinguishes the slow step on an energy profile?

It often has the largest activation barrier from its preceding minimum.

59
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What is molecularity?

Number of reacting particles in one elementary step.

60
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Define unimolecular step.

An elementary step involving one reacting particle.

61
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Define bimolecular step.

An elementary step involving two reacting particles.

62
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Define termolecular step.

An elementary step involving three reacting particles; it is rare.

63
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Why are termolecular steps rare?

Simultaneous collision of three suitably oriented particles is unlikely.

64
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What is a catalyst in a proposed mechanism?

A species used in a step and regenerated in a later step.

65
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Can reaction orders be read from the overall balanced equation?

No; orders usually require experimental evidence.

66
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What does the order with respect to A mean?

The exponent m of [A] in the experimentally determined rate law.

67
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What is overall reaction order?

The sum of concentration exponents, e.g. m + n.

<p>The sum of concentration exponents, e.g. m + n.</p>
68
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What is zero order in A?

Rate does not depend on [A] when other conditions are fixed.

69
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What is first order in A?

Rate is directly proportional to [A].

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What is second order in A?

Rate is proportional to [A]^2.

71
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What happens to rate when [A] doubles for zero order?

No change.

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What happens to rate when [A] doubles for first order?

Rate doubles.

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What happens to rate when [A] doubles for second order?

Rate quadruples.

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How do you determine an order using initial-rate data?

Compare experiments changing one concentration while keeping others constant.

75
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What is the rate constant k?

The proportionality constant in the rate equation at specified conditions.

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How does a zero-order rate–concentration graph look?

Horizontal line.

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How does a first-order rate–concentration graph look?

Straight line through the origin.

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How does a second-order rate–concentration graph look?

Upward-curving parabola through the origin.

79
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Which graph is linear for zero order?

[A] against time; gradient = -k.

<p>[A] against time; gradient = -k.</p>
80
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Which graph is linear for first order?

ln[A] against time; gradient = -k.

<p>ln[A] against time; gradient = -k.</p>
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Which graph is linear for second order?

1/[A] against time; gradient = +k.

<p>1/[A] against time; gradient = +k.</p>
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How does a first-order concentration–time graph look?

Exponential decay.

83
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How does a second-order concentration–time graph look?

Hyperbolic decay; 1/[A] versus time is linear.

84
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What does A mean in the Arrhenius equation?

Pre-exponential or frequency factor reflecting collision frequency and orientation.

85
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What do you plot for a linear Arrhenius graph?

ln k on the y-axis against 1/T on the x-axis.

86
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What is the slope of ln k versus 1/T?

-Ea/R.

87
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What is the intercept of ln k versus 1/T?

ln A.

88
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What happens to k when temperature increases?

It generally increases, often strongly.

89
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What happens to k when a catalyst is introduced?

It increases because the effective activation barrier is lower.

90
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What is the general form of a rate equation?
rate = k[A]^m[B]^n, where the exponents come from experiment.
rate = k[A]^m[B]^n, where the exponents come from experiment.
91
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What are the units of k for a zero-order reaction?
mol dm^-3 s^-1.
92
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What are the units of k for a first-order reaction?
s^-1.
93
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What are the units of k for a second-order reaction?
mol^-1 dm^3 s^-1.
94
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Why do the units of k change with overall order?
Rate always has units mol dm^-3 s^-1, so k must compensate for the concentration terms.
95
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What is half-life?
Time taken for the concentration of a reactant to fall to half its value.
96
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How does half-life behave for a first-order reaction?
It is constant and independent of the starting concentration.
It is constant and independent of the starting concentration.
97
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How does half-life behave for a zero-order reaction?
It decreases as the concentration falls.
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How does half-life behave for a second-order reaction?
It increases as the concentration falls.
99
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What is the Arrhenius equation?
k = Ae^(-Ea/RT).
k = Ae^(-Ea/RT).
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What does the exponential term in the Arrhenius equation represent?
The fraction of collisions with energy equal to or greater than Ea.