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What is the mass, in grams, of \( 4.58 \times 10^{21} \) silicon atoms?

Determine the mass, in grams, of NaCl that is in 37.9 moles of NaCl.

Answer :

Final answer:

The mass of 4.58 x 10^21 silicon atoms is 0.2149 grams. The mass of NaCl in 37.9 moles of NaCl is 2199.0777 grams.

Explanation:

To determine the mass of 4.58 x 1021 silicon atoms, we need to use the concept of molar mass. The molar mass of silicon is 28.0855 g/mol. Since there are 6.022 x 1023 atoms in 1 mole of silicon, we can calculate the mass of 4.58 x 1021 silicon atoms as follows:

  1. Calculate the number of moles of silicon atoms: 4.58 x 1021 atoms / 6.022 x 1023 atoms/mol = 0.0076 mol
  2. Calculate the mass of silicon atoms using the molar mass: 0.0076 mol * 28.0855 g/mol = 0.2149 g

Therefore, the mass of 4.58 x 1021 silicon atoms is 0.2149 grams.

To find the mass of NaCl in 37.9 moles of NaCl, we can use the molar mass of NaCl. The molar mass of NaCl is 58.443 g/mol.

  1. Calculate the mass of NaCl using the molar mass: 37.9 mol * 58.443 g/mol = 2199.0777 g

Therefore, the mass of NaCl in 37.9 moles of NaCl is 2199.0777 grams.

Learn more about Molar mass here:

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