The rate constant, k, for each reaction order is equal to _____ from the linear plot.
Reaction Order Answer
zero ______
first ______
second ______
a. slope (m)
b. y-intercept
c. x-intercept
d. negative of the slope (-m)
e. 0
i think zero order is maybe d? not sure
http://www.chm.davidson.edu/vce/kinetics/IntegratedRateLaws.html
thanks dr. bob, i like the link, it's pretty helpful
To determine the answer, we need to understand the relationship between the rate constant (k) and the linear plot for each reaction order.
For a zero-order reaction, the rate of the reaction is independent of the concentration of the reactant(s). In a linear plot of concentration versus time, the slope of the line will be negative and equal to the rate constant (k). However, in this question, we need to identify the answer from the linear plot. Since the rate constant (k) for a zero-order reaction is equal to the slope of the line, the correct answer is (a) slope (m).
So, the rate constant (k) for a zero-order reaction is equal to the slope from the linear plot.
For first-order and second-order reactions, the relationship between the rate constant (k) and the linear plot is different.
For a first-order reaction, the rate of the reaction is directly proportional to the concentration of the reactant(s). In a linear plot of ln(concentration) versus time, the slope of the line will be negative and equal to the rate constant (k). Therefore, for a first-order reaction, the rate constant (k) is equal to the slope of the line, just like in a zero-order reaction.
For a second-order reaction, the rate of the reaction depends on the square of the concentration of the reactant(s). In a linear plot of 1/(concentration) versus time, the slope of the line will be positive and equal to the rate constant (k). Therefore, for a second-order reaction, the rate constant (k) is equal to the slope of the line.
In summary:
- For a zero-order reaction, the rate constant (k) is equal to the slope (m) from the linear plot.
- For a first-order reaction, the rate constant (k) is also equal to the slope (m) from the linear plot.
- For a second-order reaction, the rate constant (k) is equal to the slope (m) from the linear plot.
Thus, the correct answer for a zero-order reaction is (a) slope (m), not (d) negative of the slope (-m).