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

Dimensional analysis

Mass = 15600 g

Explanation:

Given dа ta:

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