Question

Calculate the number of atoms in 0.1 mol of carbon atom.

Answer 1

Hint: To calculate the number of atoms first we have to calculate the number of moles of the given element as the number of moles is already given, then the number of atoms will be equal to the product of the 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 ${{N}_{A}}$.
For 0.01 mol of carbon:
Number of mol is calculated by ratio of given mass to the molar mass.
Number of mol of sodium = $\dfrac{\text{given mass}}{\text{molar mass}}$
Given:
Number of mol of carbon = 0.1 mol.
And, number of atoms = $\left( \text{number of moles} \right)\text{\times }\left( {{N}_{A}} \right)$
= 0.1 ${{N}_{A}}$ atoms (${{N}_{A}}$=$6.022\times{{10}^{23}}$)
= $0.1\times6.022\times{{10}^{23}}$
= $6.022\times{{10}^{22}}$ atoms
Hence, the number of atoms in $0.1 \ mol$ of carbon atom is $0.1 \ {{N}_{A}}$ atoms or $6.022\times{{10}^{22}}$ atoms.

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 the avogadro's number. The SI unit of avogadro's number is inverse of mole i.e. $mol{{e}^{-1}}$
Avagadros 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.