Give the integrated rate equation of a zero order,as well as as a first order reaction. Draw a typical graphs used to calculate the rate constant for each of these orders
The integrated rate equation for a zero order reaction is:
[A]t = [A]0 - kt
Where [A]t is the concentration of reactant A at time t, [A]0 is the initial concentration of reactant A, k is the rate constant, and t is the time.
The integrated rate equation for a first order reaction is:
ln([A]t/[A]0) = -kt
Where [A]t is the concentration of reactant A at time t, [A]0 is the initial concentration of reactant A, k is the rate constant, and t is the time.
To calculate the rate constant for each order, you typically plot the concentration versus time data and use the slope of the resulting graph.
For a zero order reaction, the graph will be a straight line with a negative slope. The rate constant can be determined by calculating the negative slope of the line.
For a first order reaction, the graph will be a logarithmic curve. The rate constant can be determined by calculating the negative slope of the tangent line at any point on the curve.