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Chapter 3: Problem 14

How many moles of cobalt (Co) atoms are there in \(6.00 \times 10^{9}(6\) billion) Co atoms?

Short Answer

Expert verified
The number of moles of Co atoms in \(6.00 \times 10^{9}\) Co atoms is \(9.97 \times 10^{-15}\) moles.

Step by step solution

01

Identify Given and Needed Quantities

Identify the given number of atoms, which is \(6.00 \times 10^{9}\) Co atoms. The task is to find out how many moles this number of atoms corresponds to.
02

Apply Avogadro's Number

Use Avogadro's number, \(6.022\times 10^{23}\) atoms per mole, to convert number of atoms into number of moles. Do this by dividing the number of atoms by Avogadro's number.
03

Calculation

The formula to calculate the number of moles (\(n\)) from number of atoms (\(N\)) is: \(n = \frac{N}{6.022 \times 10^{23}}\). Hence, substituting \(N\) with \(6.00 \times 10^{9}\), the calculation becomes: \(6.00 \times 10^{9} \div 6.022 \times 10^{23} = 9.97 \times 10^{-15}\) moles.

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