Exercise: K-Ar age calculation

Use the information provided in the overheads, and the following data to calculate the age and initial Ar-isotope composition of five rock fragments (1-5) that have been separated from a single lava flow and analysed by mass spectrometry.

Isotope composition of the five rock fragments:


How you should do it: First, plot the datapoints in an isochron diagram, using a spreadsheet. Then calculate the slope and y-axis intercept (if you use Excel, there are the functions slope() and intercept(), or steigung() and achsenabschnitt() if you use a german version). Then use the equation in the overhead that defines the slope and reorganize it so that you can calculate t (note that ln ex = x, further be careful with the units, as the decay constants are provided in 1/a where a means year). The decay constants are given in overhead 4.

Provide your answer as a PDF if solved using Excel, or as a scan if solved by hand. Not only provide the result, but also the way you did the calculation!


Please note: If not stated otherwise, the exercises have to be solved before the next lecture starts, and need to be uploaded in time in OPAL, preferrably as a PDF document. Submitting spreadsheet files is permitted.

The file name of the PDF file with the solution of each exercise has to meet the following convention:
"Name_Surname_Matr.Nr._Exercise_Exercise-Number.pdf" or "..._Exercise_name.pdf"
Example: "Pfaender_Joerg_0815_Exercise_1.pdf" or "..._Exercise_REE.pdf"


Note that solving the exercises is obligatory to be accepted for the written or oral examination. At least 50% of the exercises have to be solved correctly, and the result will count by 20% to the final grade. If written explanations are required for selected exercises, do not exceed the maximum number of words allowed, otherwise the exercise counts as failed. Try to be concise in your text, with as many information as possible within a minimum of text.