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What is the mass in grams of 9.76*10¹² atoms of naturally occuring sodium?

User Amika
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Final answer:

To determine the mass in grams of 9.76*10¹² atoms of naturally occurring sodium, calculate the molar mass of sodium and convert the number of atoms to grams using Avogadro's number.

Step-by-step explanation:

To determine the mass in grams of 9.76*10¹² atoms of naturally occurring sodium, we need to calculate the molar mass of sodium and convert the number of atoms to grams. The molar mass of sodium is 22.99 g/mol. To convert the number of atoms to grams, we use Avogadro's number, which is 6.022 x 10^23 atoms/mol. By dividing the given number of atoms by Avogadro's number and multiplying it by the molar mass, we can find the mass in grams.

Step 1: Calculate the molar mass of sodium: 22.99 g/mol

Step 2: Convert the number of atoms to moles: (9.76*10¹² atoms) / (6.022 x 10^23 atoms/mol) = 1.619 x 10^-12 mol

Step 3: Convert moles to grams: (1.619 x 10^-12 mol) * (22.99 g/mol) = 3.71 x 10^-11 g

The mass of 9.76*10¹² atoms of naturally occurring sodium is approximately 3.71 x 10^-11 grams.

User Vahid Amiri
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