Question

Table V – Sample 2, Half-life Determination using Natural Log Decay Plot

Note: Slope Method is used here (see "Summary of Formulas and Concepts Needed for Calculations" under Background tab)

Trial	Probe Distance (cm)	Ln( Rate ) when T = 8.00 s	Ln( Rate ) when T = 32.0 s	Slope of Line	Half-life
1	20	8.38	7.89
2	25	8.82	8.33

Sample Calculation: For Trial 2, show your slope of line calculation.

Sample Calculation: For Trial 2, show your half-life calculation.

[7] How do your results from Trial 1 and Trial 2 compare to each other? What is the average of your Trial 1 and Trial 2 half-life determinations?  

Answer 1

In this type of plot we make the graph by plotting time on x axis while the decay rate is on y axis of the plot. Therefore if we consider the trial 2 as described in the problem given here by using the slope formula we have:

Inserting the values we get:

For the calculation of half life the necessary listed formula has not been provided. Please provide the formula and i will edit the answer for you with the solution for that part also.

For the trial 1 the slope is

The slopes for both the trials are coming out to be same.