Acarbonatomhasarelativeatomicmassof13.2.60%ofthecarbonatomhasamassnumberof12.4.30%ofthecarbonatomshaveamassnumberof13.7,whilsttheremaining10%haveamassnumberwhichisnotknown.Calculatethemassnumberofthecarbonisotopewhichis10%oftheCarbon13.2atom.Giveyouranswerto1decimalplace,ifneeded.
Question
Acarbonatomhasarelativeatomicmassof13.2.60%ofthecarbonatomhasamassnumberof12.4.30%ofthecarbonatomshaveamassnumberof13.7,whilsttheremaining10%haveamassnumberwhichisnotknown.Calculatethemassnumberofthecarbonisotopewhichis10%oftheCarbon13.2atom.Giveyouranswerto1decimalplace,ifneeded.
Solution
The question seems to be asking for the mass number of the carbon isotope that makes up 10% of the carbon atom, given that the relative atomic mass of the carbon atom is 13.2, 60% of the carbon atom has a mass number of 12.4, and 30% of the carbon atom has a mass number of 13.7. The mass number of the remaining 10% is unknown and is what we're trying to find.
Here's how you can calculate it:
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First, understand that the relative atomic mass of an element is the weighted average of the mass numbers of its isotopes. The weights are the relative abundances of the isotopes.
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The relative atomic mass of the carbon atom is given as 13.2. This is calculated as follows:
(0.60 * 12.4) + (0.30 * 13.7) + (0.10 * x) = 13.2
where x is the mass number of the unknown isotope.
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You can now solve this equation for x:
7.44 + 4.11 + 0.10x = 13.2 0.10x = 13.2 - 7.44 - 4.11 0.10x = 1.65 x = 1.65 / 0.10 x = 16.5
So, the mass number of the carbon isotope that makes up 10% of the carbon atom is 16.5.
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