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Chapter 1: Problem 5

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

Short Answer

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

Step by step solution

01

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.
02

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 $$ \text{Number of molecules} = 2.5 \text{ moles} \times 6.022 \times 10^{23} \text{ molecules/mol} $$
03

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.

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