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- A plot of ln [A] versus t for a first-order reaction is a straight line with a slope of − k and an intercept of ln [A] 0. If a set of rate data are plotted in this fashion but do not result in a straight line, the reaction is not first order in A.
chem-textbook.ucalgary.ca/version2/chapter-7-main/integrated-rate-laws/first-order-reactions/
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Feb 13, 2023 · ln[A] = − kt + ln[A]o. To test if it the reaction is a first-order reaction, plot the natural logarithm of a reactant concentration versus time and see whether the graph is linear. If the graph is linear and has a negative slope, the reaction must be a first-order reaction.
- 5.7: Using Graphs to Determine Integrated Rate Laws
Calculating the rate constant is straightforward because we...
- 5.7: Using Graphs to Determine Integrated Rate Laws
Feb 13, 2023 · Calculating the rate constant is straightforward because we know that the slope of the plot of ln[A] versus t for a first-order reaction is −k. We can calculate the slope using any two points that lie on the line in the plot of ln[N 2 O 5 ] versus t .
A plot of ln[A] versus t for a first-order reaction is a straight line with a slope of −k and an intercept of ln[A] 0. If a set of rate data are plotted in this fashion but do not result in a straight line, the reaction is not first order in A.
Example of graphing first-order rate data to see a linear relationship, and calculating rate constant k from the slope. Watch the next lesson: https://www.khanacademy.org/science/c...
- 9 min
- 129K
- Khan Academy Organic Chemistry
First-Order Reactions. An equation relating the rate constant k to the initial concentration [A] 0 and the concentration [A] t present after any given time t can be derived for a first-order reaction and shown to be: ln ([A]t [A]0) = −kt ln ([A] t [A] 0) = − k t. or. ln ([A]0 [A]t) = kt ln ([A] 0 [A] t) = k t. or. [A] = [A]0e−kt [A] = [A] 0 e − k t
- OpenStax
- 2016
A plot of ln[A] t versus t for a first-order reaction is a straight line with a slope of −k and a y-intercept of ln[A] 0. If a set of rate data are plotted in this fashion but do not result in a straight line, the reaction is not first order in A.
Notice that for each characteristic kinetic plot, a specific rate law shows a straight line. In the [A] vs t plot, only the zero-order reaction (red line) produces a straight line. The other lines curve. In the ln [A] vs t plot, only the first-order reaction (gold line) produces a straight line.