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MissPhiladelphia

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

Answer : The number of moles of dipyrithione are \(1.4\times 10^1\) 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 \(6.022\times 10^{23}\) number of atoms.

As, \(6.022\times 10^{23}\) atoms of \(N_2\) present in 1 mole of \(C_{10}H_8N_2O_2S_2\)

So, \(8.2\times 10^{24}\) atoms of \(N_2\) present in \(\frac{8.2\times 10^{24}}{6.022\times 10^{23}}=13.6\approx 1.4\times 10^1\) mole of \(C_{10}H_8N_2O_2S_2\)

Therefore, the number of moles of dipyrithione are \(1.4\times 10^1\) moles.

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