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A compound of uranium and fluorine is used to generate uranium for nuclear power plants. The gas can be decomposed to yield 2.09 parts by mass of uranium for every 1 part by mass of fluorine. If the relative mass of a uranium atom is 238 and the relative mass of a fluorine atom is 19, calculate the number of fluorine atoms that are combined with one uranium atom.
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Respuesta :

For the answer to the question above,the gas can be decomposed to yield 2.09 parts by mass of uranium for every 1 part by mass of fluorine.If the relative mass of a uranium atom is 238 and the relative mass of a fluorine atom is 19,  the number of fluorine atoms that are combined with one uranium atom. is 6

Answer: The number of fluorine atoms that combine with one uranium atom are 6.

Explanation:

We are given an unknown gas of uranium and fluorine atom and when it is decomposed, it produces 2.09 parts of uranium atoms for every 1 part of fluorine atom.

Relative mass of Uranium = 238 g

Relative mass of Fluorine = 19 g

Number of atoms of uranium present in a given relative mass = [tex]\frac{2.09}{238}=0.0087atoms[/tex]

Number of atoms of fluorine present in given relative mass = [tex]\frac{1}{19}=0.052atoms[/tex]

For 0.0087 atoms of uranium are produced when 0.05 atoms of fluorine are produced.

So, 1 atom of uranium are produced when = [tex]\frac{0.052}{0.0087}\times 1=5.97\approx 6[/tex] atoms of Fluorine atoms.

Hence, 6 atoms of fluorine atoms are produced when 1 uranium atom is produced.