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The molar mass of strontium (Sr) is 87.62 g/mol. Calculate the number of atoms in a 67.5 mg sample of Sr. Write your answer in scientific notation using three significant figures. A) 7.70 x 10^21 atoms Sr B) 7.70 x 10^18 atoms Sr C) 7.70 x 10^24 atoms Sr D) 7.70 x 10^15 atoms Sr

Answer :

Final answer:

To find out the quantity of atoms in a 67.5 mg sample of strontium, convert the mass from milligrams to grams, convert it from grams to moles using the molar mass, then convert from moles to atoms using Avogadro's number.

Explanation:

The number of atoms in a given sample can be determined using Avogadro's number (6.022 x 10^23 atoms/mol). First, you need to convert milligrams to grams because the molar mass of Sr is expressed in grams/mol. Therefore, 67.5 mg is equivalent to 0.0675 g. Then, divide the mass of the sample by the molar mass of Sr to get the number of moles: 0.0675 g ÷ 87.62 g/mol = 7.70 x 10^-4 mol. To get the total number of atoms, multiply this by Avogadro's number: 7.70 x 10^-4 mol x 6.022 x 10^23 atoms/mol = 4.63 x 10^20 atoms. However, this value does not match any of the options you provided.

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