Final answer:
To find the number of chlorine molecules in 89.98 liters of chlorine gas, we calculate the moles of Cl2 using the volume and Avogadro's number to determine the number of molecules, resulting in 2.418 × 10¹¹⁴ molecules of Cl2.
Step-by-step explanation:
The question asks about the number of chlorine molecules in a given volume of chlorine gas, so we'll use concepts from chemistry, specifically the ideal gas law and Avogadro's number, to determine the answer. One mole of any gas at standard temperature and pressure (STP) occupies 22.4 liters.
Therefore, to find the number of moles of Cl2 in 89.98 liters of chlorine gas, we divide the volume of chlorine gas by the volume of one mole of gas at STP:
Number of moles = 89.98 liters / 22.4 liters/mol = 4.017 moles of Cl2
Using Avogadro's number (6.022 × 1023 molecules/mole), we can find the number of molecules:
Number of molecules = 4.017 moles × 6.022 × 1023 molecules/mole = 2.418 × 1024 molecules of Cl2