Question

Jessica has 12.7 moles of a compound for an experiment. How many particles of the compound does she have?

Answer 1

Number of moles is defined as the ratio of given mass in g to the molar mass.

The mathematical expression is given as:

Number of moles  =$\frac{given mass in g}{molar mass}$

Number of moles of compound  = 12.7 moles (given)

As, 1 mole of any compound is equal to $6.022\times 10^{23}$ particles.

where,  $6.022\times 10^{23}$  is Avogadro number.

Formula for calculating particles is given by:

$N= n\times N_{A}$

where, N =  number of particles, n = number of moles and $N_{A}$ is Avogadro number.

Put the values,

$N= 12.7 moles\times 6.022\times 10^{23}$

= $76.4794\times10^{23}$ or  $7.64794\times10^{24}$

$\simeq 7.65\times10^{24}$

Hence, number of particles of the compound is equal to $7.65\times10^{24}$