The rate constant, k, for each reaction order is equal to _____ from the linear plot.
zero ---d
first----d
second-----a
a. slope (m)
b. y-intercept
c. x-intercept
d. negative of the slope (-m)
e. 0
I believe all three of your answers are correct. Actually, the anwers are in the same site I provided to your earlier post.
To determine the rate constant, k, for each reaction order from a linear plot, you need to look at the relationship between the rate of the reaction and the concentration of the reactants.
For a zero-order reaction, the rate is independent of the concentration of the reactants. When you plot the rate of the reaction against time, you will get a straight line with a negative slope. The rate constant, k, for a zero-order reaction can be determined from the slope of the linear plot. Therefore, the correct answer is d. negative of the slope (-m).
For a first-order reaction, the rate is directly proportional to the concentration of one reactant. When you plot the natural logarithm of the reactant concentration against time, you will get a straight line with a negative slope. The rate constant, k, for a first-order reaction can be determined from the slope of the linear plot. Therefore, the correct answer is also d. negative of the slope (-m).
For a second-order reaction, the rate is directly proportional to the square of the concentration of one reactant or to the product of the concentrations of two reactants. When you plot the reciprocal of the reactant concentration against time, you will get a straight line with a positive slope. The rate constant, k, for a second-order reaction can be determined from the slope of the linear plot. Therefore, the correct answer is a. slope (m).
In summary, for all reaction orders (zero, first, and second), the rate constant, k, can be found from the slope of the linear plot. The only difference is whether the slope is positive or negative, depending on the reaction order.