How many moles are in a sample of 1.52 x 10^24 atoms of mercury (Hg)?


1.75 mol Hg

2.52 mol Hg

91.5 mol Hg

50.4 mol Hg

Respuesta :

we know that

1 Mol is equal to -------> [tex]6.02 * 10^{23}[/tex] atoms (Avogadro's number)

by proportion

[tex]\frac{1}{6.02*10^{23}}\frac{Mol}{Atoms} =\frac{x}{1.52*10^{24}} \frac{Mol}{Atoms}\\ \\x*6.02*10^{23} = 1.52*10^{24}\\ \\x=\frac{1.52*10^{24}}{6.02*10^{23}} \\ \\x=2.52\ Mol[/tex]

therefore

the answer is the option

2.52 mol Hg

The number of moles of mercury (Hg) that are in the sample is 2.52 mol. The correct answer is the second option 2.52 mol Hg

From the question,

We are to determine the number of moles present in a sample of 1.52 × 10²⁴ atoms of mercury

From the formula

[tex]Number\ of\ moles\ = \frac{Number\ of\ atoms}{Avogadro's \ constant}[/tex]

Avogadro's constant = 6.022 ×10 ²³ mol⁻¹

From the question,

Number of mercury atoms = 1.52 × 10²⁴ atoms

∴ Number of moles of Hg = [tex]\frac{1.52 \times 10^{24} }{6.022 \times 10^{23} }[/tex]

Number of moles of Hg = 2.52 mol

Hence, the number of moles of mercury (Hg) that are in the sample is 2.52 mol. The correct answer is the second option 2.52 mol Hg

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