question archive Assume the following simplified relationship for D14C:     Assume 14C/Cstandard = 1

Assume the following simplified relationship for D14C:     Assume 14C/Cstandard = 1

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Assume the following simplified relationship for D14C:

 

 

Assume 14C/Cstandard = 1.176 x 10-12 and C refers to stable 12C which accounts for 98.9% of all carbon.

a) find the approximate age of the oldest water in the ocean (i.e., time since it was last at the surface) 

b) determine how long it takes for water to move from the deep North Atlantic to the Indian Ocean. The half-life of 14C = 5730 years. 

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Step-by-step explanation

C12 has a 98 percent isotopic abundance.

C14 has a 2 percent isotopic abundance.

 

Mass number Relative abundance + Mass number Abundance =100 Average atomic mass

 

=10098×12+2×14?

 

weighing 12.04 grams

 

Because C14 isotope is 2% abundant, it will make up 2 grams of a 100 gram carbon sample.

 

The C14 isotope will be =100122 =0.24 grams in a 12 gram sample.

 

The number of atoms in one mole of any molecule is NA, i.e. 6.021023.

 

As a result, the C14 isotope will be 1.0321022