Question

How many moles are in $453.6g$ of table sugar, ${{C}_{12}}{{H}_{22}}{{O}_{11}}$ ?

Answer 1

Mole concept gives the relationship between the number of moles, weight and molar mass of the compound. Molar mass is calculated by adding up the atomic masses of the element combined to form a molecule.

Formula used: $n=\dfrac{w}{m}$
where, $n$ is the number of moles, $w$ is the weight of the compound and $m$ is the molar mass of the compound.

Complete step-by-step answer:
Here, it is given that the weight of table sugar is $453.6g$
The atomic mass of carbon is $12g$
The atomic mass of hydrogen is $1g$
The atomic mass of oxygen is $16g$
To calculate the molar mass of table sugar that is ${{C}_{12}}{{H}_{22}}{{O}_{11}}$
$\Rightarrow 12\times 12+1\times 22+16\times 11$
$\Rightarrow 342g$
Now to calculate the number moles present in table sugar, we must use mole formula-
$n=\dfrac{w}{m}$
Where, $n$ is the number of moles of table sugar
$w$ is the weight of the table sugar
$m$ is the molar mass of the table sugar
Now, we will substitute the above value in the given formula we get,
$\Rightarrow n=\dfrac{453.6}{342}$
$\Rightarrow n=1.32mol$
The number of moles present in $453.6g$ table sugar is $1.32mol$

Additional information:
i) Moles is defined as a scientific unit which is used to measure large quantities of atoms and molecules. It is defined as the amount of substance present in a sample.
$1mole=6.022\times {{10}^{23}}particles$
This is also called Avogadro's number $\left( {{N}_{A}} \right)$ .
ii) Molar mass is defined as the addition of atomic mass of atoms, combined in a molecule. Here, the molar mass of ${{C}_{12}}{{H}_{22}}{{O}_{11}}$ is $342g$ .
iii) Moles are defined as the weight of the compound per molar mass of the compound.
iv) Formula mass is different from molecular mass. In formula mass, there is an addition of atomic masses of ions present in an ionic compound, whereas molecular mass is the addition of atomic masses of the atoms in a molecule.

Note: A mole concept is a convenient method to express the amount of the substance. When we deal with particles at atomic level, then even one gram of an element consists of a huge number of atoms. Therefore, mole concept is used. It is used to calculate the large number of particles in a mole.