Question

Convert 2.4 X 10^28 Molecules of H3PO4 into Grams.

Answer 1

3906966 g

Step-by-step explanation:

The number of molecules contained in a substance is given by the formula:

number of molecules = number of mole * Avogadro constant.

Given that:

number of molecules = 2.4 * 10²⁸ molecules, Avogadro constant = 6.02 * 10²³ mol⁻¹.

Substituting gives:

2.4 * 10²⁸ molecules = number of moles * 6.02 * 10²³ mol⁻¹

number of moles = 2.4 * 10²⁸ molecules / 6.02 * 10²³ mol⁻¹

number of moles = 39867 moles

The molar mass of H₃PO₄ = (1 * 3) + (31 * 1) + (16 * 4) = 98 g/mol

Hence:

mass of H₃PO₄ = molar mass of H₃PO₄ * number of moles

mass of H₃PO₄ = 98 g/mol * 39867 moles

mass of H₃PO₄ = 3906966 g