Exercise 6 radioisotopic dating techniques

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If two reactions have the same order, the faster reaction will have a shorter half-life, and the slower reaction will have a longer half-life.The half-life of a first-order reaction under a given set of reaction conditions is a constant.Radioisotopic dating is a key tool for studying the timing of both Earth's and life's history.This suite of techniques allows scientists to figure out the dates that ancient rock strata were laid down — and hence, provides information about geologic processes, as well as evolutionary processes that acted upon the organisms preserved as fossils in interleaved strata.Upper Atmosphere Atoms Neutrons Lower Atmosphere 14N 14N 14N 12C 12C neutrons proton 14C CO2 CO2 14C 14C 12C 12C 12C 14C Cosmic Rays Institution, Massachusetts.MWF, - AM, Cina Hall 308 Instructor: Jim Miller, Associate Professor Office Hours: MW -, or by appt.

The half-life of a first-order reaction is independent of the concentration of the reactants.

Another approach to describing reaction rates is based on the time required for the concentration of a reactant to decrease to one-half its initial value.

This period of time is called the half-life of the reaction, written as .

That is, 0.00000000001% of all carbon atoms are the carbon-14 isotope.

Libby, Institute for Nuclear Studies in Chicago in 1947. The combination of these two processes means there is an equilibrium abundance of C-14 atoms of 1 in 1013. Since one out of every 1013 carbon is the heavy C-14 nuclide, determine how many C-14 nuclei are in your body.

(a) What is the type of radioactivity most likely exhibited by nuclide 1?

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