Final answer:
The number of molecules in 1 x 10-23 g of water vapor is approximately 3.34 x 10-1 molecules.
Step-by-step explanation:
The molar mass of water (H₂O) is 18.0 g/mol. To find the number of molecules in 1 x 10-23 g of water vapor, we can use the formula:
Number of Molecules = Mass / Molar Mass
Plugging in the given values, we get:
Number of Molecules = 1 x 10-23 g / 18.0 g/mol = 5.56 x 10-25 mol
Since 1 mole contains 6.022 x 1023 molecules (Avogadro's number), we can calculate the number of molecules in 1 x 10-23 g of water vapor:
Number of Molecules = (5.56 x 10-25 mol) x (6.022 x 1023 molecules/mol) = 3.34 x 10-1 molecules