Question

How many moles of helium atoms are there in 2.4x1024 helium atoms?a) 6.0 molb) 2.0 mol c) 4.0 mol

Answer 1

The number of moles of helium is 4.0 mol

Step-by-step explanation

Given information

`\text{ The number of helium atoms is 2.4}*10^(24)\text{ atoms}`

To find the number of moles of helium, follow the steps below

Step 1: Write the formula for calculating the number of moles

`\text{ Mole }\frac{\text{ number of atoms}}{\text{ Avogadro's number}}`
`\text{ Recall, that Avogadro's number is 6.022}*10^(23)`

Step 2: Substitute the given data into the formula in step 1

`\begin{gathered} \text{ Mole = }\frac{\text{ number of atoms}}{\text{ Avogadro's number}} \\ \text{ } \\ \text{ Mole = }(2.4*10^(24))/(6.022*10^(23)) \\ \\ \text{ Mole = }(2.4)/(6.022)*10^(24-23) \\ \\ \text{ Mole = 0.3985}*10 \\ \text{ Mole = 3.985} \\ Mole\approx4.0\text{ mol} \end{gathered}`

Hence, the number of moles of helium is 4.0 mol