Answer:
3.84 × 10^24 atoms
Explanation:
We are given;
Volume of mustard gas = 10200 mL
We are required to calculate the number of atoms.
Note that one mole of a gas occupies a volume of 24 L or 24000 mL at RTP.
Therefore, we can determine the number of moles of mustard gas;
Moles = Volume ÷ Molar gas volume (RTP)
= 10200 mL ÷ 24000 mL/mol
= 0.425 moles
But, 1 mole of a gas molecule contains a number of molecules equivalent to the Avogadro's number, 6.022 × 10^23.
Thus;
1 mole of Mustard gas = 6.022 × 10^23 molecules
Thus, we can determine the number of molecules of mustard gas;
Number of molecules = Moles × Avogadro's number
= 0.425 moles × 6.022 × 10^23 molecules/mole
= 2.56 × 10^23 molecules
We are required to determine the number of atoms.
Mustard gas has a chemical formula of C4H8Cl2S
Therefore, 1 molecule of mustard gas = 15 atoms
Thus, we can calculate the number of atoms;
Number of atoms = Molecules × Atoms/molecule
= 2.56 × 10^23 molecules × 15 atoms/molecule
= 3.84 × 10^24 atoms
Therefore, 10200 ml of mustard gas contains 3.84 × 10^24 atoms
