Exam code: 9CHO
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Define rate of reaction.
Rate of reaction is the change in the amount or concentration of a reactant or product per unit time.
Units: mol dm-3 s-1

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State five methods that can be used to measure the rate of reaction in the laboratory.
The rate of reaction can be measured by monitoring:
Mass lost over time (gas escaping)
Volume of gas produced over time
Colour changes using colorimetry
pH changes over time
Changes in electrical conductivity
Rate of reaction = ........../time (s)
where the numerator has units of ..........
Rate of reaction = change in amount of reactants or products (mol dm-3) / time (s)
where the numerator has units of mol dm-3
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Define rate of reaction.
Rate of reaction is the change in the amount or concentration of a reactant or product per unit time.
Units: mol dm-3 s-1
State five methods that can be used to measure the rate of reaction in the laboratory.
The rate of reaction can be measured by monitoring:
Mass lost over time (gas escaping)
Volume of gas produced over time
Colour changes using colorimetry
pH changes over time
Changes in electrical conductivity
Rate of reaction = ........../time (s)
where the numerator has units of ..........
Rate of reaction = change in amount of reactants or products (mol dm-3) / time (s)
where the numerator has units of mol dm-3
What is colorimetry?
Colorimetry is a technique that measures the intensity of light passing through a coloured solution.
As the concentration of the coloured species changes during a reaction, the light intensity recorded by the detector changes, allowing rate to be monitored over time.
True or False?
Intermediates can feature in a rate equation.
False.
Intermediates do not feature in rate equations. Only reactants (and sometimes products or catalysts) can appear. The order of each species must be determined experimentally.
For the reaction A (aq) + B (aq) → products, the rate equation is:
Rate = ..........[A]m[B]n
where m and n are the ..........
For the reaction A (aq) + B (aq) → products, the rate equation is:
Rate = k[A]m[B]n
where m and n are the orders of reaction with respect to each reactant.
Why can rate equations NOT be determined from stoichiometric equations?
Rate equations can only be determined experimentally — the stoichiometric equation tells us the molar ratios of reactants and products, but not how the rate depends on concentration. The orders m and n must be found from experimental data.
For D (aq) → E (aq) + F (g), the rate equation is Rate = k[D]. What happens to the rate if the concentration of D is doubled?
The rate doubles.
Because rate is directly proportional to [D] (first order), doubling the concentration of D doubles the rate of reaction.
Define order of reaction.
Order of reaction (with respect to a reactant) is the power to which the concentration of that reactant is raised in the rate equation.
It is determined experimentally and can be 0, 1, 2, or fractional.
Describe the effect on the rate of reaction when the concentration of a reactant is changed for orders 0, 1, and 2.
Order 0: changing concentration has no effect on rate
Order 1: rate is directly proportional to concentration (doubling [A] doubles rate)
Order 2: rate is proportional to concentration squared (doubling [A] multiplies rate by 4)
True or False?
If a reactant is second order, tripling its concentration increases the rate by a factor of 9.
True.
For a second-order reactant, rate ∝ [A]2. Tripling [A] gives 32 = 9, so the rate increases by a factor of 9.
How do you determine the order with respect to a reactant from a table of experimental data?
Identify two experiments where the concentration of the reactant of interest changes but all other concentrations remain constant.
Compare how the rate changes as the concentration changes.
If rate doubles when [A] doubles → first order. If rate quadruples → second order. If rate is unchanged → zero order.
Define overall order of reaction.
Overall order of reaction is the sum of the individual orders of all reactants in the rate equation.
For rate = k[A]m[B]n, the overall order is m + n.
For rate = k[BrO3-][Br-][H+], the concentration of bromate ions is doubled while the concentration of bromide ions is halved. The overall effect on the rate is ...........
For rate = k[BrO3-][Br-][H+], the concentration of bromate ions is doubled while the concentration of bromide ions is halved. The overall effect on the rate is no change (the two effects cancel, as both species are first order).
Define rate constant k.
k is the rate constant — the proportionality constant in the rate equation.
Its value is fixed for a given reaction at a given temperature and changes when temperature changes. The units of k depend on the overall order of the reaction.
How do you calculate the units of the rate constant k for a reaction with rate = k[A][B]2?
Rearrange: k = rate / ([A][B]2)
Substituting units:
k = mol dm-3 s-1 / (mol dm-3 × (mol dm-3)2)
= mol dm-3 s-1 / mol3 dm-9
= mol-2 dm6 s-1
(Overall order = 3, so units are mol-2 dm6 s-1.)
State four commonly used techniques for measuring the rate of a chemical reaction in the laboratory.
Colorimetry — monitors light intensity through a coloured solution
Mass loss — tracks decrease in mass as gas escapes
Gas collection — measures volume of gas produced over time
Titration — samples are analysed for concentration (requires quenching)
What is colorimetry?
Colorimetry is a technique that measures the intensity of light passing through a coloured solution.
As the reaction proceeds and the concentration of the coloured species changes, the light intensity at the detector changes, allowing rate to be monitored continuously.
State one limitation of the disappearing cross method for measuring rate of reaction.
The disappearing cross method typically generates only one data point per experiment (the time for the cross to disappear), making it difficult to track how rate changes throughout the reaction.
True or False?
Colorimetry can be used to monitor the formation of a coloured precipitate.
False.
Colorimetry cannot be used to monitor coloured precipitates because the precipitate scatters or blocks the light, preventing an accurate reading.
Why is hydrogen gas unsuitable for monitoring reaction rate by the mass loss method?
Hydrogen has a very low molar mass (Mr = 2), so the mass change as hydrogen escapes is too small to be detected accurately on a 2 or 3 decimal-place balance.
A denser gas such as CO2 (Mr = 44) produces a measurable change in mass.
In the disappearing cross experiment, sodium thiosulfate reacts with hydrochloric acid to form a .......... precipitate of .........., which obscures a cross viewed through the solution.
In the disappearing cross experiment, sodium thiosulfate reacts with hydrochloric acid to form a yellow precipitate of sulfur, which obscures a cross viewed through the solution.
What is quenching in the context of rate experiments, and why is it necessary?
Quenching is deliberately stopping the reaction before taking a sample for analysis by titration.
It is necessary because removing a sample and analysing it can change the concentration of reactants and affect the rate if the reaction is still proceeding during analysis.
How can the rate of reaction be calculated from a concentration-time graph?
Draw a tangent to the curve at the time of interest and calculate the gradient of the tangent:
Rate = Δy / Δx = Δ[concentration] / Δtime
The units of rate are mol dm-3 s-1.
What is the initial rates method?
The initial rates method is an experimental technique that determines the rate of reaction at the very start of the reaction (t = 0).
It is found by drawing a concentration-time graph, adding a tangent at t = 0, and calculating the gradient of that tangent.
Describe the steps used to determine the initial rate of reaction from a concentration-time graph.
Plot a concentration-time graph using experimental data.
Draw a tangent to the curve at t = 0.
Calculate the gradient of the tangent:
rate = Δy / Δx
The gradient gives the initial rate in mol dm-3 s-1.
What is a clock reaction?
A clock reaction is a method of measuring the initial rate of a reaction using a single measurement — the time t for a specific visual change (colour change or precipitate) to occur.
The initial rate is proportional to 1/t.
In a clock reaction, the initial rate is proportional to ...........
For the iodine clock, if the time for the colour change to occur doubles, the initial rate is .......... as large.
In a clock reaction, the initial rate is proportional to 1/*t*.
For the iodine clock, if the time for the colour change to occur doubles, the initial rate is half as large.
True or False?
A clock reaction typically generates multiple data points for analysis.
False.
A clock reaction usually generates one data point per experiment — the time taken for the visual change to occur. This is a major limitation of the method.
State the key assumption that clock reactions depend upon.
Clock reactions assume that there is no significant change in the rate of reaction between the start of the reaction and the point at which the visual change is observed (i.e., the rate is approximately constant during the measurement period).
Why does the accuracy of the initial rate decrease as the time measured in a clock reaction increases?
As the reaction proceeds, reactant concentrations decrease, so the rate is not constant — it changes on a curve.
The longer the measured time, the greater the deviation from the initial rate, making the calculated value a less accurate estimate of the true initial rate.
True or False?
The initial rate calculated from a clock reaction is an exact measurement.
False.
The initial rate from a clock reaction is an estimate. It relies on the assumption that the rate does not change significantly during the measurement period, which is only approximately true.
What is the continuous monitoring method?
The continuous monitoring method is a technique in which experimental data is collected throughout a reaction to plot a concentration-time graph, allowing the rate to be measured at any point.
What two common methods are used to collect data in continuous monitoring?
Two common methods are measuring the volume of gas evolved over time and measuring the mass lost by the reaction mixture over time.
In the iodination of propanone, a .......... measures colour absorbance, which is proportional to the .......... of the coloured species.
In the iodination of propanone, a colorimeter measures colour absorbance, which is proportional to the concentration of the coloured species.
True or False?
A calibration curve must be prepared before a colorimetry experiment so that absorbance readings can be converted into concentrations.
True.
A calibration curve is obtained from standard solutions of known concentration. It allows the colorimeter's absorbance readings to be converted into concentration values during the experiment.
How is the rate of reaction found from a concentration-time graph at a specific point?
The rate of reaction at a specific point is found by drawing a tangent to the curve at that point and calculating the gradient of the tangent. The gradient equals the rate at that moment.
In the iodination of propanone, the .......... decolourises during the reaction as it is converted into iodopropanone and .......... .
In the iodination of propanone, the iodine decolourises during the reaction as it is converted into iodopropanone and hydrogen iodide.
Why is the colorimeter filter chosen to match the complementary colour of the solution?
The filter is chosen to match the complementary colour of the solution because it gives the strongest absorbance reading, making the measurements more sensitive and accurate.
True or False?
In a continuous monitoring experiment, different concentrations can be obtained by varying volumes of reactants while keeping the total volume constant using distilled water.
True.
By keeping the total volume constant with distilled water, different concentrations of each reactant can be studied without changing the overall volume of the reaction mixture.
Define zero-order reaction.
A zero-order reaction is one in which the rate of reaction is independent of the concentration of the reactant. The rate equation is rate = k, and the rate-concentration graph is a horizontal line.
What is the shape of a concentration-time graph for a first-order reaction?
A first-order concentration-time graph is a downward exponential curve. The concentration decreases by the same fraction over each successive equal time interval, giving a constant half-life.
True or False?
The half-life of a first-order reaction remains constant throughout the reaction.
True.
In a first-order reaction, each successive half-life takes the same amount of time. The time required for the concentration to halve does not change as the reaction proceeds.
For a second-order reaction, the rate-concentration graph is a .......... and the rate equation is rate = k...........
For a second-order reaction, the rate-concentration graph is a curve and the rate equation is rate = k[A]2.
How does the half-life change as a second-order reaction proceeds?
The half-life increases as a second-order reaction proceeds. It takes progressively longer for the concentration of the reactant to halve as the reaction continues.
What is the half-life of a reaction?
The half-life of a reaction is the time taken for the concentration of a reactant to fall to half of its initial value.
In a zero-order reaction, the concentration-time graph is a .......... going downwards, and the gradient of this line equals the .......... .
In a zero-order reaction, the concentration-time graph is a straight line going downwards, and the gradient of this line equals the rate of reaction.
True or False?
A second-order concentration-time graph shows a steeper downward curve than a first-order graph.
True.
In a second-order reaction, concentration decreases more sharply with time than in a first-order reaction. The curve falls more steeply because rate depends on the square of concentration.
Why does a zero-order reaction produce a horizontal rate-concentration graph?
A zero-order reaction produces a horizontal line on a rate-concentration graph because the rate is independent of the reactant's concentration. As concentration changes, the rate stays constant.
Define rate-determining step.
The rate-determining step is the slowest step in a reaction mechanism. It controls the overall rate of the reaction, and only reactants involved in this step appear in the rate equation.
Why does a reactant's concentration appear in the rate equation?
A reactant's concentration appears in the rate equation because that reactant is involved in the rate-determining step. If a reactant is not in the rate-determining step, it does not appear in the rate equation.
The rate equation for CH3Br + OH- → CH3OH + Br- is rate = k[CH3Br][OH-], which means that .......... and .......... both take part in the rate-determining step.
The rate equation for CH3Br + OH- → CH3OH + Br- is rate = k[CH3Br][OH-], which means that CH3Br and OH- both take part in the rate-determining step.
True or False?
Intermediates formed during a reaction mechanism can appear in the rate equation.
False.
Intermediates cannot appear in the rate equation. If an intermediate is involved in the rate-determining step, it must be substituted back in terms of the original reactants using an earlier step.
The rate equation for NO2 (g) + CO (g) → NO (g) + CO2 (g) is rate = k[NO2]2. What does this tell us about the rate-determining step?
The rate equation shows the reaction is second order in NO2 and zero order in CO. This means the rate-determining step involves two molecules of NO2 and no CO molecules.
What is meant by the molecularity of a reaction step?
The molecularity of a reaction step is the number of molecules involved in that step. A step involving one molecule is unimolecular; a step involving two molecules is bimolecular.
In the reaction of NO with H2, the rate-determining step involves N2O2 (formed from .......... NO molecules) and one H2 molecule, giving the rate equation rate = k[NO]..........[H2].
In the reaction of NO with H2, the rate-determining step involves N2O2 (formed from two NO molecules) and one H2 molecule, giving the rate equation rate = k[NO]2[H2].
True or False?
A reactant that is zero order in the rate equation takes part in the rate-determining step.
False.
A zero-order reactant does not take part in the rate-determining step. Its concentration has no effect on the rate of reaction, so it does not appear in the rate equation.
How can you check that a proposed reaction mechanism is valid?
A proposed mechanism is valid if two conditions are met: the elementary steps must add up to the overall stoichiometric equation, and the rate-determining step must be consistent with the experimental rate equation.
Define the SN1 mechanism.
An SN1 reaction is a two-step nucleophilic substitution in which the C–X bond breaks first to form a carbocation intermediate (slow, rate-determining step), followed by attack from the nucleophile (fast step).
Why does the SN1 rate equation only include the concentration of the halogenoalkane?
In SN1, the rate-determining step is the unimolecular breaking of the C–X bond. The nucleophile is not involved in this slow step, so only the halogenoalkane concentration appears in the rate equation: rate = k[halogenoalkane].
In an SN2 reaction, the nucleophile attacks the .......... carbon of the halogenoalkane at the same time as the C–X bond breaks, making it a .......... reaction.
In an SN2 reaction, the nucleophile attacks the δ+ carbon of the halogenoalkane at the same time as the C–X bond breaks, making it a one-step reaction.
True or False?
The SN1 mechanism proceeds in two steps.
True.
In the first step, the C–X bond breaks heterolytically to form a carbocation (slow). In the second step, the nucleophile attacks the carbocation (fast).
Define the SN2 mechanism.
An SN2 reaction is a one-step nucleophilic substitution in which the nucleophile attacks the δ+ carbon and the C–X bond breaks simultaneously. The rate depends on both the halogenoalkane and the nucleophile concentrations.
What type of halogenoalkane reacts exclusively by the SN2 mechanism?
Primary halogenoalkanes react exclusively by the SN2 mechanism. The carbon bonded to the halogen is attached to only one alkyl group, making it accessible to nucleophilic attack.
The rate equation for an SN1 reaction is rate = k.......... and the reaction is described as .......... because only one molecule is involved in the rate-determining step.
The rate equation for an SN1 reaction is rate = k[halogenoalkane] and the reaction is described as unimolecular because only one molecule is involved in the rate-determining step.
True or False?
Secondary halogenoalkanes react exclusively via the SN1 mechanism.
False.
Secondary halogenoalkanes can react via both the SN1 and SN2 mechanisms. Only tertiary halogenoalkanes react exclusively by SN1, and only primary halogenoalkanes react exclusively by SN2.
Why can kinetics suggest but not prove a reaction mechanism?
Kinetics can only show which species are involved in the rate-determining step and the overall order of reaction. It is possible for more than one mechanism to be consistent with the same rate equation, so kinetics cannot confirm which mechanism is correct.
Define the Arrhenius equation.
The Arrhenius equation is k = Ae(−Ea/RT), where k is the rate constant, A is the pre-exponential factor, Ea is the activation energy, R is the gas constant, and T is the temperature in kelvin.
What is the Arrhenius constant A in the Arrhenius equation?
A is the pre-exponential factor (also called the frequency factor). It is a constant characteristic of the specific reaction and relates to the frequency of collisions with the correct orientation.
Taking natural logarithms of the Arrhenius equation gives ln k = .......... − Ea/RT, and the gradient of a graph of ln k against 1/T equals .......... .
Taking natural logarithms of the Arrhenius equation gives ln k = ln *A − Ea/RT, and the gradient of a graph of ln k against 1/T equals −Ea/R*.
True or False?
The rate constant k remains unchanged when the temperature of a reaction increases.
False.
The rate constant k increases with temperature. At higher temperatures, a greater proportion of molecules have energy equal to or greater than the activation energy, increasing the rate of reaction.
Why does increasing temperature increase the rate constant k?
At higher temperatures, a greater fraction of molecules has energy equal to or greater than the activation energy Ea. Since k is directly proportional to this fraction, a higher temperature gives a higher k and a faster rate of reaction.
Define activation energy.
Activation energy (Ea) is the minimum energy that colliding molecules must possess for a reaction to occur. It is characteristic of a specific reaction and has units of kJ mol-1.
In the Arrhenius equation, the only two variables are .......... and .........., while all other quantities are constants for a given reaction.
In the Arrhenius equation, the only two variables are k and T, while all other quantities are constants for a given reaction.
True or False?
The gradient of a graph of ln k against 1/T equals −Ea/R.
True.
The linearised Arrhenius equation has the form y = mx + c, where the gradient m = −Ea/R. Multiplying the gradient by −R gives the activation energy Ea.
How can the activation energy of a reaction be found experimentally using the Arrhenius equation?
Values of k at different temperatures T are measured experimentally. A graph of ln k against 1/T is plotted, giving a straight line. The gradient of the line equals −Ea/R, so Ea = −gradient × R.
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