Question

Calculate the number of atoms in 4 grams of carbon particles per mole

Answer 1

The number of atoms in 4 grams of carbon are $2.007 * 10^{23}.$

Explanation:

Avogadro's number is equal to the number of atoms present in one mole of a compound. Avogadro's number is equal to $6.022 * 10^{23}$ atoms in one mole.

To calculate the number of atoms, we first calculate moles of carbon.

Given weight of carbon = 4gms

Molecular weight of carbon = 12 $gm\ moles^{-1}$

$Moles = \frac{Given\ weight\ of\ Carbon}{Molecular\ weight\ of\ carbon}\\ \\Moles = \frac{4}{12}\\\\Moles = \frac{1}{3}moles$

Now to calculate atoms in $\frac{1}{3}$ moles we use;

1 mole = $6.022 * 10^{23} atoms$

$\frac{1}{3} moles = 6.022 * 10^{23} * \frac{1 }{3}\\\\= 2.007 * 10^{23} atoms$

So, 4 grams of carbon contains $2.007 * 10^{23}$ atoms.