How many atoms are in 165 g of calcium?
Explanation:
According to the mole concept, 1 mole of every atom contains \(6.022 \times 10^{23}\) atoms.
It is given that mass is 165 g and molar mass of calcium atom is 40.078 g/mol.
Hence, number of moles of calcium atom will be calculated as follows.
No. of moles = \(\frac{mass}{\text{molar mass}}\)
= \(\frac{165 g}{40.078 g/mol}\)
= 4.117 mol
Therefore, atoms present in 4.117 mol of calcium are as follows.
\(4.117 mol \times 6.022 \times 10^{23}\) atoms/mol.
= \(24.792 \times 10^{23}\) atoms
Thus, we can conclude that there are \(24.792 \times 10^{23}\) atoms in 165 g of calcium.