Question

How do you calculate the number of ions in a solution?

Answer 1

Hint: To calculate the number of ions first we have to calculate the number of moles of the given element as the number of moles is already given, then number of ions can be calculate by using the relation between number of moles and Avogadro’s number. A mole is generally used as a unit for the number of atoms or molecules or particles of a material.

Complete step by step answer: The mole is a measurement or it is the basic unit which helps to calculate the amount of substance present in the given sample. 1 mole of a number is equal to Avogadro’s constant${{N}_{A}}$.
Number of mol is calculated by ratio of given mass to the molar mass.
Number of mol of sodium = $\dfrac{\text{given mass}}{\text{molar mass}}$
After calculating the number of moles, the number of ions will be equal to the product of the number of moles and Avogadro’s number.
number of ions= $\left( \text{number of moles} \right)\text{X }\left( {{N}_{A}} \right)$
where ${{N}_{A}}$= Avogadro’s number.

So the correct answer is “a”:
Additional Information:
Note: 1 mole = $6.022 \times {{10}^{23}}$ particle or atoms or molecules or electrons or protons etc. The number of the constituent particles of atoms such as molecules or atoms or ions present in a given sample is related with the mass of the substance present in the sample using Avogadro's number. The SI unit of Avogadro’s number is inverse of mole i.e. $mol{{e}^{-1}}$
- Avogadro’s number is dimensionless. It also helps to relate the molar volume of a substance to the average volume which is occupied by one of the particles.