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

Last updated date: 13th Jun 2024
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Hint: 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.

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 $1.32mol$

$1mole=6.022\times {{10}^{23}}particles$
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 $342g$ .