[10] (6) The 6 C isotope is present in the earth's atmosphere at an equilibrium concentration of about one atom for every 8.3x10" atoms of normal carbon 6 12 C. It is a good approximation to consider this ratio as constant over the years. [3] (6.a) Determine the number of carbon 6 C atoms present for every gram of C in a living organism sample. [2] (6.b) Find the decay constant of 6 C. [2] (6.c) Find the activity Ao of this sample. [3] (6.d) The remains of the Iceman were discovered in 1991. Radiocarbon dating has revealed his age. . C activity A found in the remains is about 0.121 Bq per gram of carbon. Find the age of the Iceman's remains (i.e. the time from his death to the time of measuring the sample's activity A)