Answer: 7.02 x 10^24 molecules of methane correspond to 11.7 moles of this compound.
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:
[tex]x=\frac{(1\text{ mol C}H_4)\times(7.02\times10^{24}\text{ molecules C}H_4)}{(6.02\times10^{23}\text{ molecules C}H_4)}=11.7\text{ mol C}H_4[/tex]
Therefore, 7.02 x 10^24 molecules of methane correspond to 11.7 moles of this compound.