Question

Calculate the number of moles in 270 g of Aluminium. (Atomic mass of $Al = 27u$)

Answer 1

The total mass of aluminium has been given and from that, we have to find out the number of moles present in that mass. The atomic mass given of aluminium is ${\text{27 g}}$which means one can find out the number of moles by using the relation between total mass and atomic mass of aluminium.

Complete step by step answer:
-First of all we will learn about the concept of the number of moles where the number of moles is the measurement of the amount of substance in particular mass in the international system of units that is SI unit.
-Now let us analyze what has been given in the question. The total mass of aluminium has been given which is ${\text{270 g}}$. There has been an atomic mass of aluminium given which is ${\text{27 g}}$.
-Now as we know the atomic mass of aluminium and the total mass of aluminium in which we have to find out the number of moles we can do that by using the following formula below,
${\text{Number of moles = }}\dfrac{{{\text{Total mass given}}}}{{{\text{Atomic mass}}}}$
Now let us put the values in the above formula that has been given in the question,
${\text{Number of moles = }}\dfrac{{270}}{{27}}$
As both the quantities are given in grams that means we do not need to do any conversions. Now let us calculate the above equation by doing the division of quantities as below,
${\text{Number of moles = 10}}$
We got the value of the number of moles as ${\text{10}}$ moles.
-Therefore, the number of moles of aluminium that are present in ${\text{270 g}}$ Aluminium are ${\text{10}}$ moles.

Note:
A mole of a substance or a mole of particles that are atoms, molecules, or ions is defined as exactly $6 \cdot 022 \times {10^{23}}$ particles which is Avogadro’s number. The number of moles value is actually the count of that particle present in a particular mass.