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siniylev [52]
2 years ago
7

How many atoms are in 1g of Hg

Chemistry
2 answers:
lys-0071 [83]2 years ago
8 0

Answer:

\boxed {\boxed {\sf 3 \times 10^{21} \ atoms \ Hg}}

Explanation:

We are asked to find how many atoms are in 1 gram of mercury.

<h3>1. Convert Grams to Moles </h3>

First, we convert grams to moles. We use the molar mass or the mass of 1 mole of a substance. These values are equivalent to the atomic masses on the Periodic Table, but the units are grams per mole instead of atomic mass units.

Look up mercury's molar mass.

  • Hg:  200.59 g/mol

We convert using dimensional analysis, so we create a ratio using the molar mass.

\frac { 200.59 \ g \ Hg}{ 1 \ mol \ Hg}

We are converting 1 gram of mercury to moles, so we multiply the ratio by this value.

1 \ g \ Hg *\frac { 200.59 \ g \ Hg}{ 1 \ mol \ Hg}

Flip the ratio so the units of grams of mercury cancel out.

1 \ g \ Hg *\frac{ 1 \ mol \ Hg} { 200.59 \ g \ Hg}

1  *\frac{ 1 \ mol \ Hg} { 200.59}

\frac{ 1} { 200.59} \ mol \ Hg

0.004985293385 \ mol \ Hg

<h3>2. Convert Moles to Atoms</h3>

Next, we convert moles to atoms. We use Avogadro's Number or 6.022 × 10²³. This is the number of particles (atoms, molecules, formula units) in 1 mole of a substance. In this case, the particles are atoms of mercury.

We will use dimensional analysis and set up another ratio.

\frac {6.022 \times 10^{23} \ atoms \ Hg}{ 1 \ mol \ Hg}

Multiply by the number of moles we calculated.

0.004985293385 \ mol \ Hg * \frac {6.022 \times 10^{23} \ atoms \ Hg}{ 1 \ mol \ Hg}

The units of moles of mercury cancel.

0.004985293385  * \frac {6.022 \times 10^{23} \ atoms \ Hg}{ 1 }

3.00214368 \times 10^{21} \ atoms \ Hg

<h3>3. Round </h3>

The original measurement of grams has 1 significant figures, so our answer must have the same. For the number we calculated, that is the ones place. The 0 in the tenths place tells us to leave the 3 in the ones place.

3 \times 10^{21} \ atoms \ Hg

There are approximately <u>3×10²¹ atoms of mercury</u> in 1 gram of mercury.

ollegr [7]2 years ago
3 0

Answer:

7.5275 x 10^21

Explanation:

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