After 1.00 ml of water is completely vaporized to gas, how many milliliters of vapor are produced at standard temperature and pressure? (Density of water is 1.00 g/mL; molar volume of any gas at STP is 22.4 L/mol.).

Based on your question where 1ml of water is completely vaporized to gas, to get the millimeter or the amount of vapor produced at a standard temperature and pressure you must use a formula and consider the density of water and the molar volume of gas. So the answer is 0.045 ml of water.