What is the mass of 5.87 x 1026 atoms of oxygen?

Dimensional analysis

Mass = 15600 g

Explanation:

Given data:

Number of atoms of oxygen = 5.87 × 10²⁶

Mass of oxygen = ?

Solution:

The given problem will solve by using Avogadro number.

It is the number of atoms , ions and molecules in one gram atom of element, one gram molecules of compound and one gram ions of a substance.

The number 6.022 × 10²³ is called Avogadro number.

1 mole = 6.022 × 10²³ atoms

5.87 × 10²⁶ atom × 1 mole / 6.022 × 10²³ atom

0.975 × 10³ mole

975 mole

Mass of oxygen:

Mass = number of moles × molar mass

Mass = 975 × 16 g/mol

Mass = 15600 g

Dimensional analysis:

5.87 × 10²⁶ atom × 1 mol/6.022 × 10²³ atom × 16 g/ 1 mol = 15600 g