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Answer :
Number of (NH4)2SO4 molecules = 2.16 × 10^25 molecules / 2 = 1.08 × 10^25 (NH4)2SO4 molecules. There are approximately 1.08 × 10^25 molecules of ammonium sulfate in 35.8 moles of (NH4)2SO4.
To determine the number of molecules in 35.8 moles of ammonium sulfate ((NH4)2SO4), we need to use Avogadro's number, which states that there are 6.022 × 10^23 particles (atoms, molecules, or ions) in one mole of any substance.
The molecular formula of ammonium sulfate indicates that there are two ammonium ions (NH4+) and one sulfate ion (SO4^2-) in each molecule.
To calculate the number of molecules in 35.8 moles of (NH4)2SO4, we can follow these steps:
Determine the number of moles of (NH4)2SO4 by multiplying the given value by Avogadro's number:
Number of moles = 35.8 moles × (6.022 × 10^23 molecules/mole) = 2.16 × 10^25 molecules
Since each molecule of (NH4)2SO4 contains one ammonium ion and one sulfate ion, the number of molecules can be divided by two to obtain the number of (NH4)2SO4 molecules:
Number of (NH4)2SO4 molecules = 2.16 × 10^25 molecules / 2 = 1.08 × 10^25 (NH4)2SO4 molecules
Therefore, there are approximately 1.08 × 10^25 molecules of ammonium sulfate in 35.8 moles of (NH4)2SO4.
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