Calculation of Atomic Mass of an Element

To calculate the atomic mass of an element, we need to know the number of atoms of that element and its weight. In this case, we are given that 4.6*10^22 atoms of a certain element weigh 13.8 g. We can use this information to calculate the atomic mass of the element.

Avogadro's Number

Before we proceed with the calculation, we need to understand Avogadro's number. Avogadro's number is the number of particles (atoms, molecules, ions, etc.) in one mole of a substance. The value of Avogadro's number is 6.022*10^23 particles per mole.

Calculation

To calculate the atomic mass of the element, we need to find the mass of one mole of atoms of that element. The mass of one mole of atoms is also known as the molar mass of the element.

First, we need to find the number of moles of atoms in 4.6*10^22 atoms of the element. We can do this by dividing the number of atoms by Avogadro's number.

Number of moles = 4.6*10^22 / 6.022*10^23
Number of moles = 0.0762 moles

Next, we need to find the molar mass of the element by dividing the weight of 0.0762 moles of atoms by the number of moles.

Molar mass = 13.8 g / 0.0762 moles
Molar mass = 181.2 g/mol

Therefore, the atomic mass of the element is 181.2 g/mol.

Explanation

The atomic mass of an element is the average mass of one atom of that element. It is measured in atomic mass units (amu) or grams per mole (g/mol). The atomic mass of an element is calculated by taking the weighted average of the masses of all its isotopes.

In this case, we are given the weight of a certain number of atoms of an element. We can use this information to calculate the molar mass of the element, which is the weight of one mole of atoms of that element. Once we have the molar mass, we can calculate the atomic mass of the element by dividing the molar mass by Avogadro's number.

4.6*10^22 atoms = 13.8g

1 atom = (13.8)/4.6*10^22g

6.022×10^23 atoms = [(13.8) × (6.022 ×10^23)] / 4.6*10^22

On solving

So, atomic mass = 180gm

Hope this helps you....