Question

How many moles do we have if we have 7.02 x 10²⁴ molecules of methane, or CH4, which is used to heat homes?

Answer 1

Answer: 7.02 x 10^24 molecules of methane correspond to 11.7 moles of this compound.

Step-by-step explanation:

The question requires us to calculate the number of moles of methane (CH4) that correspond to 7.02 x 10^24 molecules of this compound.

We can use the Avogadro's number to solve this problem: this proportionality constant tells us that there are 6.022 x 10^23 particles (ions, atoms, molecules etc.) in 1 mol of any compound.

Thus, we can write:

6.02 x 10^23 molecules CH4 ---------------- 1 mol CH4

7.02 x 10^24 molecules CH4 ----------------- x

Solving for x, we'll have:

`x=\frac{(1\text{ mol C}H_4)*(7.02*10^(24)\text{ molecules C}H_4)}{(6.02*10^(23)\text{ molecules C}H_4)}=11.7\text{ mol C}H_4`

Therefore, 7.02 x 10^24 molecules of methane correspond to 11.7 moles of this compound.