Reaction Rates

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AP Chemistry › Reaction Rates

Questions 1 - 4
1

The concentration of reactant $\text{H}(aq)$ is plotted versus time for a reaction. At which time is the instantaneous rate of disappearance of $\text{H}$ greatest (i.e., where the magnitude of the slope is largest)?

At $t=0\ \text{s}$

At $t=20\ \text{s}$

At $t=30\ \text{s}$

At $t=40\ \text{s}$

At $t=10\ \text{s}$

Explanation

This question tests understanding of instantaneous reaction rates versus average rates. The instantaneous rate of disappearance at any point equals the magnitude of the slope of the tangent line to the concentration versus time curve at that point. For typical reactions, the curve is steepest at t=0s when reactant concentration is highest, giving the greatest instantaneous rate at the beginning. As the reaction proceeds, [H] decreases, the curve becomes less steep, and the instantaneous rate decreases. A common error is thinking the rate is highest when concentration is lowest, but this confuses concentration with rate of change. To find maximum instantaneous rate, identify where the concentration versus time curve has the steepest negative slope, which is typically at t=0.

2

A student measures the concentration of reactant $\text{D}(aq)$ during a reaction. Which time interval shows the greatest average rate of disappearance of $\text{D}$?

$0\text{–}10\ \text{s}$

$40\text{–}50\ \text{s}$

$30\text{–}40\ \text{s}$

$20\text{–}30\ \text{s}$

$10\text{–}20\ \text{s}$

Explanation

This question examines understanding of reaction rates by identifying when the rate is greatest. The average rate of disappearance is determined by the change in concentration over the time interval - the steeper the decline in [D], the greater the rate. For most reactions, the rate is highest at the beginning when reactant concentration is greatest, so the 0-10s interval typically shows the steepest decline and thus the greatest rate. As the reaction progresses, [D] decreases, leading to fewer effective collisions and a slower rate in later intervals. A common error is thinking the rate is highest when concentration is lowest, confusing the concentration value with the rate of change. To identify the fastest rate interval, look for where the concentration drops most steeply, which is typically early in the reaction when reactant concentration is highest.

3

The reaction $\text{F}(aq) \rightarrow \text{products}$ is followed by measuring $\text{F}$ over time. Which statement correctly compares the average rate of disappearance of $\text{F}$ over $0\text{–}20\ \text{s}$ to the average rate over $20\text{–}40\ \text{s}$?

The average rate over $0\text{–}20\ \text{s}$ is greater than over $20\text{–}40\ \text{s}$.

The average rates are equal because both intervals are $20\ \text{s}$ long.

The average rate over $0\text{–}20\ \text{s}$ is smaller than over $20\text{–}40\ \text{s}$.

The average rate over $20\text{–}40\ \text{s}$ is greater because $[\text{F}]$ is lower at later times.

The average rate over $0\text{–}20\ \text{s}$ is zero because $[\text{F}]$ is highest then.

Explanation

This question assesses understanding of how reaction rates change over time by comparing two intervals. The average rate of disappearance is calculated as -Δ[F]/Δt for each interval. For typical reactions, the rate is higher early in the reaction when reactant concentration is greater, so the average rate over 0-20s is greater than over 20-40s. This occurs because higher [F] in the early interval leads to more frequent collisions and faster reaction. The magnitude of the concentration change is larger in the first interval, giving a steeper slope and higher rate. A misconception is thinking equal time intervals mean equal rates, or that lower concentration at later times means higher rate. Remember that reaction rate typically decreases as the reaction progresses due to decreasing reactant concentration.

4

A reaction is monitored by measuring $\text{E}$ as a function of time. Based on the slope of the curve, during which interval is the rate of disappearance of $\text{E}$ the smallest (slowest)?

$30\text{–}40\ \text{s}$

$40\text{–}50\ \text{s}$

$10\text{–}20\ \text{s}$

$20\text{–}30\ \text{s}$

$0\text{–}10\ \text{s}$

Explanation

This question tests understanding of reaction rates by asking for the interval with the smallest (slowest) rate. The rate of disappearance corresponds to the slope of the concentration versus time curve - a gentler slope indicates a slower rate. In typical reactions, the rate decreases over time as reactant concentration decreases, so the slowest rate usually occurs in the latest time interval. The 40-50s interval would have the smallest rate because [E] is lowest at this point, resulting in fewer collisions and the gentlest slope. Students often confuse low concentration with low rate, but it's actually the low concentration that causes the low rate, not the concentration itself that is the rate. To find the slowest rate, look for the interval where the concentration changes least steeply, typically occurring late in the reaction.