CHEMN-How many moles of zinc, Zn , are in 1.61 10

Solution

1

Convert atoms to moles: To find the number of moles of zinc, we use Avogadro's number, which is approximately

6.022 \times 10^{23}

atoms/mol. The formula to convert atoms to moles is:

\text{moles} = \frac{\text{number of atoms}}{N_A}

where

N_A

is Avogadro's number

2

Calculate the moles of zinc: Plugging in the values, we have:

\text{moles of Zn} = \frac{1.61 \times 10^{24} \text{ Zn atoms}}{6.022 \times 10^{23} \text{ atoms/mol}}

Calculating this gives:

\text{moles of Zn} \approx 2.68 \text{ mol}

Answer

2.68 mol

Key Concept

The relationship between atoms and moles is defined by Avogadro's number.

Explanation

To convert from the number of atoms to moles, divide the number of atoms by Avogadro's number. This allows us to express the quantity in moles, which is a standard unit in chemistry.

Generate me a similar question

{'context': '[{\'Student\': \'my name is Alex. I am currently at University (Sophomore - Junior)\', \'Sia\': \'great to meet you!\'}, {\'Student\': \'\\nHow many moles of carbon, C, are in

3.04 \\\\times 10^{23} \\\\mathrm{C}

atoms?\\n

3.04 \\\\times 10^{23} \\\\mathrm{C}

atoms

=

\\\\square

mol\', \'Sia\': \'\'}]}', 'question': ''}

Solution

1

Identify the molar mass of lithium: The molar mass of lithium (Li) is approximately

6.94 \, \mathrm{g/mol}

2

Convert moles to grams: To convert moles of lithium to grams, we use the formula:

\text{mass (g)} = \text{moles} \times \text{molar mass (g/mol)}

Plugging in the values, we have:

\text{mass} = 0.0529 \, \mathrm{mol} \times 6.94 \, \mathrm{g/mol}

3

Calculate the mass: Performing the calculation gives:

\text{mass} \approx 0.366 \, \mathrm{g}

Answer

0.366 g

Key Concept

Converting moles to grams using molar mass

Explanation

The mass of a substance can be calculated by multiplying the number of moles by its molar mass. In this case, 0.0529 moles of lithium corresponds to approximately 0.366 grams.

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