Answer:
Age of mummy when 5 g carbon-14 remains = <em> 6000 years</em>
nitrogen-14 produced during this period = <em> 5 g</em>
Mass of Carbon 14 in another 6000 years = <em>2.5 g</em>
Amount of Nitrogen-14 in 12 thousand years = <em>7.5 g</em>
Explanation:
Carbon dating is a method used for age determination by analyzing the decay
of carbon-14 to nitrogen-14
one neutron in carbon-14 splits into one proton and electron
half life (time to decay half of the total mass) of carbon-14 is 5730. here we can approximate this as 6000 years.
initially there is 10 g carbon-14 now remains 5 g that means 1 half-life has passed so,
Age of mummy when 5 g carbon-14 remains = <em> 6000 years</em>
the decayed C-14 is converted to N-14 ( mass of electrons or β particles are negligible) so,
nitrogen-14 produced during this period = (10 - 5 = <em>5 g</em>
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<em>in another 6000 year one more half life will pass the mass of C-14 will further halve ,</em>
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Mass of Carbon 14 in another 6000 years = 5 / 2 = <em>2.5 g</em>
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<em>so, Nitrogen remains after 12000 years = 10 - 2.5 = 7.5 g</em>
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