Question

The molar mass of $N{{O}_{2}}$ is 46.01 $g/mol$. How many moles of $N{{O}_{2}}$ are present in 114.95 g?

Answer 1

Hint The mole is represented by the symbol mol. It is generally used as a unit of measurement for the amount of substance in the SI units where SI represents the International system of units. $N{{O}_{2}}$ is known by the name nitrogen dioxide.

Complete Step by step solution:
Molar mass of a chemical compound is defined as the mass of the sample chemical compound divided by the amount of the sample substance. The molar mass is generally measured in grams per mole represented as $g/mol$. The molar mass is also defined as the ratio of the mass of the substance to the number of particles present in it and it can be calculated by adding the standard atomic mass of the constituent atoms present in it.
Molar mass also tells us the mass of one mole of substance. In the given question the molar mass of $N{{O}_{2}}$is 46.01$g/mol$ which describes that every mole of nitrogen dioxide contains a mass of 46.01 g. so we need 46.01 g of nitrogen dioxide in order to have one mole of the compound then 1 g of nitrogen dioxide will contain
$\dfrac{1\ \text{mole of N}{{\text{O}}_{\text{2}}}}{46.01}$
Then 114.65 g of $N{{O}_{2}}$contain $\dfrac{1\ \text{mole of N}{{\text{O}}_{\text{2}}}}{46.01}\times 114.95$
= 2.49837 moles of $N{{O}_{2}}$

Thus 2.49837 moles of $N{{O}_{2}}$ are present in 114.95 g.

Note: $N{{O}_{2}}$ is used as an intermediate in the manufacturing of nitric acid as a nitrating agent in manufacturing of chemical explosives, as a sterilizing agent and as bleaching agent. It is somewhat toxic in nature and causes lung diseases.