The following gas-phase reaction was studied at
Determine the order of the reaction and the rate constant based on the following data.
Time (s) |
P(mmHg) |
0 |
15.76 |
181 |
18.88 |
513 |
22.79 |
1164 |
27.08 |
where P is the total pressure. |
Interpretation:
The order of the reaction and the rate constant, based on the given data, areto be determined.
Concept introduction:
The power of the concentration of reactants is called the order of the reaction.
According to the Arrheniusequation, the rate that is dependent on a given temperature is called the rate constant.
Answer to Problem 22QP
Solution: The order of the reaction is first order and the rate constant is
Explanation of Solution
Given information: The following gas phase reaction was studied at a temperature of
The reaction is as follows:
The given data is as follows:
Consider
The reaction is as follows:
The pressure data is represented below.
Therefore, the pressure increases, and the change in pressure (
The data is represented as follows:
The plot of
The plot of
The plot of
The rate constant for the first-order reaction is as follows:
The reaction is a first-order reaction, as can be interpreted from the graph. The slope for a first-order reaction is equal to the rate constant
The order of reaction is first order and rate constant is
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Chapter 14 Solutions
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