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The mole is a counting number that allows scientists to describe how individual molecules and atoms react. If one mole of atoms or molecules is equal to 6.022 × 10^23 atoms or molecules, how many molecules are in a 23.45 g sample of copper (II) hydroxide, Cu(OH)2? Express your answer to the correct number of significant figures. (MM of Cu(OH)2 is 97.562 g/mol)

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Answer:

[tex]\large \boxed{1.447 \times 10^{23}\text{ molecules Cu(OH)}_{2 }}[/tex]

Explanation:

1. Calculate the moles of copper(II) hydroxide

[tex]\text{Moles of Cu(OH)}_{2} = \text{23.45 g Cu(OH)}_{2} \times \dfrac{\text{1 mol Cu(OH)}_{2}}{\text{97.562 g Cu(OH)}_{2}} = \\\\\text{0.240 36 mol Cu(OH)}_{2}[/tex]

2. Calculate the molecules of copper(II) hydroxide

[tex]\text{No. of molecules} = \text{0.240 36 mol Cu(OH)}_{2} \times \dfrac{6.022 \times 10^{23}\text{ molecules Cu(OH)}_{2}}{\text{1 mol Cu(OH)}_{2}}\\\\= 1.447 \times 10^{23}\text{ molecules Cu(OH)}_{2}\\\text{The sample contains $\large \boxed{\mathbf{1.447 \times 10^{23}}\textbf{ molecules Cu(OH)}_{\mathbf{2}}}$}[/tex]

Answer:

Mass of Cu(OH)2 = 23.45 g

Molar mass of Cu(OH)2 = 97.562 g/mol

Since we know,

Moles = Mass/Molar mass

\Rightarrow Moles = (23.45 g)/(97.562 g/mol) = 0.2404 moles

Since 1 mole of substance contains = 6.022 × 1023 molecules

So 0.2404 moles will contain = 0.2404*(6.022 × 1023 molecules) = 1.448 × 1023 molecules

Explanation: