For my homework I got this problem that my professor never went over in class how to do it and I don't know how to interpret it.
A chemist runs a second order reaction of A->B starting at 10mili moles/L concentration of A (and no B). After one hour the concentration of the product has reached 6mili moles/L. Plot the concentration of B over the time until it reaches 9mili moles.
Do I start with this formula:
1/[A7]=kt+(1/A0)
How would I solve this problem and how would I put it in excel?
If you could help me out, I would really appreciate it.
To solve this problem, you can use the integrated rate law for a second order reaction:
1/[A] = kt + 1/[A0]
Where:
[A] is the concentration of A at time t
[A0] is the initial concentration of A
k is the rate constant of the reaction
t is the time
Using the information given, you can find the rate constant (k) by rearranging the formula:
k = (1/[A] - 1/[A0]) / t
In this case, the initial concentration [A0] is 10 millimoles/L, and the concentration after one hour [A] is 6 millimoles/L. The time (t) is one hour, which is equivalent to 60 minutes.
Plugging these values into the formula, you get:
k = (1/6 - 1/10) / 60
Now, you can plug in the values of t and [A] into the integrated rate law to find the concentration of B:
1/[B] = kt + 1/[A0]
To find the concentration of B when it reaches 9 millimoles/L, set up the equation as follows:
1/9 = k * t + 1/10
Rearranging the equation, you get:
1/9 - 1/10 = k * t
Now, you can solve for t:
t = (1/9 - 1/10) / k
Plug in the value of k that you calculated earlier, and you will get the time it takes for the concentration of B to reach 9 millimoles/L.
To plot the concentration of B over time in Excel, you will need to create a table with two columns: one for time and one for the concentration of B. Start by entering the initial time and initial concentration of B in the first row. Then, use the rate constant (k) to calculate the concentration of B at different time points by using the formula:
[B] = kt + 1/[A0]
Continue calculating the concentrations of B at different time points and enter them in the second column. Finally, plot a scatter plot with time on the x-axis and the concentration of B on the y-axis, using the data you just entered in the table.
I hope this helps you solve the problem and create the Excel plot! Let me know if you have any further questions.