What is the mass, in grams, of a sample of 1.72 × 1023 atoms of potassium (K)? Show your work or explain the steps that you used to determine your answer.

Respuesta :

According to the Avogadro's Constant, 1 mole of substance has 6.02214086 × 10²³ (Unit is mol⁻¹) particles.


This means, 1 mole = 6.02214086 × 10²³ molecules / atoms

 

Given K atoms = 1.72 x 10²³

Moles of K = 1.72 x 10²³ / 6.02214086 × 10²³ mol⁻¹

                  = 0.286 mol

Moles (mol) = mass (g) / molar mass (g/mol)

Molar mass of K = 39.1 g/mol
Mass of K = 0.286 mol x 39.1 g/mol
                 = 11.18 g

 

Hence, 1.72 x 10²³ of K atoms have 11.18 g of mass.

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