Question

Find out the number of molecules in \(2.5\) moles of water.

Short answer

Answer: There are \(1.5055 \times 10^{24}\) molecules in 2.5 moles of water.

Step-by-step solution

Identify the given number of moles and Avogadro's constant

We are given that there are \(2.5\) moles of water, and we know Avogadro's constant is \(6.022 \times 10^{23}\) molecules/mol.

Multiply the number of moles by Avogadro's constant

To find the number of molecules in \(2.5\) moles of water, multiply the number of moles by Avogadro's constant: Number of molecules = Number of moles \(\times\) Avogadro's constant $$ \text{Number of molecules} = 2.5 \text{ moles} \times 6.022 \times 10^{23} \text{ molecules/mol} $$

Calculate the number of molecules

Multiply the values: $$ \text{Number of molecules} = 2.5 \times 6.022 \times 10^{23} $$ $$ \text{Number of molecules} = 1.5055 \times 10^{24}\text{ molecules} $$ So, there are \(1.5055 \times 10^{24}\) molecules in \(2.5\) moles of water.