Question

How many molecules of CH4 are in 48.2 g of this compound? A) 2.00 x 1023 B) 5.00 x 10-24 C)1.81 x 1024 D) 4.00 E) 4.64 x 1026 10) -

Answer 1

Answer: The correct answer is Option C.

Step-by-step explanation:

To calculate the number of moles, we use the equation:

`\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}`

Given mass of methane = 48.2 g

Molar mass of methane = 16 g/mol

Putting values in above equation, we get:

`\text{Moles of }CH_4=(48.2g)/(16g/mol)=3.0125mol`

According to mole concept:

1 mole of compound contains
`6.022* 10^(23)` number of molecules.

So, 3.0125 moles of methane will contain =
`3.0125* 6.022* 10^(23)18.141* 10^(23)=1.81* 10^(24)` number of molecules.

Hence, the correct answer is Option C.