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Acarbonatomhasarelativeatomicmassof12.60%ofthecarbonatomhasamassnumberof12.6.30%ofthecarbonatomshaveamassnumberof13.2,whilsttheremaining10%haveamassnumberwhichisnotknown.Calculatethemassnumberofthecarbonisotopewhichis10%oftheCarbon12atom.Giveyouranswerto1decimalplace,ifneeded.

Question

Acarbonatomhasarelativeatomicmassof12.60%ofthecarbonatomhasamassnumberof12.6.30%ofthecarbonatomshaveamassnumberof13.2,whilsttheremaining10%haveamassnumberwhichisnotknown.Calculatethemassnumberofthecarbonisotopewhichis10%oftheCarbon12atom.Giveyouranswerto1decimalplace,ifneeded.

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Solution

The question seems to be a bit jumbled, but I'll try to interpret it as best as I can.

It seems like you're asking for the mass number of a carbon isotope that makes up 10% of the carbon-12 atom.

First, let's clarify some terms:

  1. The relative atomic mass of an element is the weighted average mass of the atoms in a naturally occurring sample of the element. It is usually close to the mass number of the most common isotope, but it takes into account the masses of all isotopes and their relative abundance.

  2. The mass number of an atom is the total number of protons and neutrons in the nucleus.

From your question, it seems like 60% of carbon atoms have a mass number of 12.6 (which is close to the mass number of carbon-12, the most common isotope), 30% have a mass number of 13.2 (which is close to the mass number of carbon-13), and 10% have an unknown mass number.

To find the mass number of the unknown isotope, we can set up an equation using the definition of relative atomic mass:

(0.60 * 12.6) + (0.30 * 13.2) + (0.10 * x) = 12

Solving for x gives us the mass number of the unknown isotope.

Let's calculate:

(0.60 * 12.6) + (0.30 * 13.2) = 7.56 + 3.96 = 11.52

So, 11.52 + 0.10x = 12

Subtract 11.52 from both sides to get 0.10x = 0.48

Finally, divide both sides by 0.10 to solve for x:

x = 0.48 / 0.10 = 4.8

So, the mass number of the unknown isotope is 4.8. However, this seems unusually low for a carbon isotope, as the lightest known carbon isotope (carbon-8) has a mass number of 8. There might be a mistake in the original question or my interpretation of it.

This problem has been solved

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