The molar mass of silver (Ag) is 107.87 g/mol. Calculate the mass in grams of a sample of Ag containing 1.97 x 1022 atoms.
Write your answer using three significant figures.
g Ag

The mass in grams of the sample of Ag to three significant figures is 3.53 grams

The formula for calculating the number of moles of a substance is expressed as shown below:

Given the following parameters

Molar mass = 107.87 g/mol.

number of atoms of the sample = 1.97 x 1022 atoms.

Get the number of moles of the substance:

Moles = 1.97 × 10²²/6.022 × 10²³ = 0.0327 mol

Get the required mass of the substance:

Mass = moles * molar mass

Mass = 0.0327 * 107.87

Mass = 3.53 grams

Hence the mass in grams of the sample of Ag to three significant figures is 3.53 grams

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3.53 g

Explanation:

To convert from atoms to moles, you need to know Avogadro's number.  Avogadro's number (6.022 × 10²³) is how many atoms there are in one mole of a substance.  Use this to convert.

(1.97 × 10²² atoms) ÷ (6.022 × 10²³ atoms/mol) = 0.0327 mol

Now that you have moles, use the molar mass to convert to grams.

(0.0327 mol) × (107.87 g/mol) = 3.53 g