Question

How many moles of dipyrithione (C10H8N2O2S2) contain 8.2 x 10^24 atoms of N2?

Answer 1

Answer : The number of moles of dipyrithione are
`1.4* 10^1` moles.

Explanation :

The given molecule is,
`C_(10)H_8N_2O_2S_2`

In this molecule, there are 10 atoms of carbon, 8 atoms of hydrogen, 2 atoms of nitrogen, 2 atoms of oxygen and 2 atoms of sulfur.

As we know that, 1 mole of substance contains
`6.022* 10^(23)` number of atoms.

As,
`6.022* 10^(23)` atoms of
`N_2` present in 1 mole of
`C_(10)H_8N_2O_2S_2`

So,
`8.2* 10^(24)` atoms of
`N_2` present in
`(8.2* 10^(24))/(6.022* 10^(23))=13.6\approx 1.4* 10^1` mole of
`C_(10)H_8N_2O_2S_2`

Therefore, the number of moles of dipyrithione are
`1.4* 10^1` moles.

Answer 2

Avogadro's number represents the number of units in one mole of any substance. This has the value of 6.022 x 10^23 units / mole. This number can be used to convert the number of atoms or molecules into number of moles. We calculate as follows:

8.2 x 10^24 atoms of N2 ( 1 mol N2/ 6.022 x 10^23 atoms ) ( 1 mol C10H8N2O2S2 / 1 mol N2 ) = 13.28 mol C10H8N2O2S2