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Ch.14 - Chemical Kinetics
Chapter 14, Problem 1

Use the following equation and graph to answer questions 1 and 2. Hydrogen iodide decomposes at 410 °C, according the reaction: 2 HI1g2¡H21g2 + I21g2 The graph shows how the concentration of HI changes over time. What is the average rate of loss of HI over the time period 0–40 s (LO 14.1) (a) 7.5 * 10-3 M>s (b) 4.8 * 10-3 M>s (c) 3.0 * 10-2 M>s (d) 3.5 * 10-3 M>s

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1
Identify the initial and final concentrations of HI from the graph at time 0 s and 40 s.
Calculate the change in concentration of HI by subtracting the final concentration from the initial concentration.
Determine the time interval over which the change occurs, which is from 0 s to 40 s.
Use the formula for average rate of reaction: \( \text{Average Rate} = \frac{\Delta [\text{HI}]}{\Delta t} \), where \( \Delta [\text{HI}] \) is the change in concentration and \( \Delta t \) is the change in time.
Substitute the values obtained from the graph into the formula to calculate the average rate of loss of HI.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Reaction Rate

The reaction rate refers to the speed at which reactants are converted into products in a chemical reaction. It is typically expressed as the change in concentration of a reactant or product per unit time, often in molarity per second (M/s). Understanding how to calculate the average rate of a reaction over a specific time interval is crucial for analyzing chemical kinetics.
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Concentration Change

Concentration change is the difference in the amount of a substance in a given volume over time. In the context of the provided reaction, it involves measuring how the concentration of hydrogen iodide (HI) decreases as it decomposes into hydrogen (H2) and iodine (I2). This change is essential for determining the average rate of loss of HI during the specified time period.
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Graph Interpretation

Graph interpretation involves analyzing graphical data to extract meaningful information. In this case, the graph shows the concentration of HI over time, allowing one to visually assess how the concentration changes. Understanding how to read and interpret the graph is vital for accurately calculating the average rate of loss of HI during the specified time interval.
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