Question

8. Calculate the number of moles of eachsubstance.a. 5.45 x 1026 particles of methane, CH4

Answer 1

The number of moles of methane is 905.32 moles

Explanation:

Given information

The number of particles of methane = 5.45 x 10^26 particles

Let x represents the number of moles of methane

To calculate the number of moles, we will be using the below formula

`\text{Number of particles = number of moles x Avogadro's constant}`

Recall that, the Avogadro's constant is given as

`6.02\cdot10^(23)`
`\begin{gathered} 5.45\cdot10^(26)\text{ = x }\cdot\text{ 6.02 }\cdot10^(23) \\ \text{Divide both sides by 6.02 }\cdot10^(23) \\ x\text{ = }(5.45\cdot10^(26))/(6.02\cdot10^(23)) \\ x\text{ = }(5.45)/(6.02)\cdot10^{26\text{ - 23}} \\ x\text{ = 0.9053 }\cdot10^3 \\ x\text{ = 905.32 moles} \end{gathered}`

Therefore, the number of moles of methane is 905.32 moles