It depends on how much of each that you have. If you have, say, one square meter of liquid and one square meter of gas, the liquid will weigh more. There are more molecules of it present, because they are packed more tightly together. Another way of looking at it: if you have a set amount of liquid, and then you heat it up to become a gas, the same amount of matter will take up more space.
It also depends on what gases and liquids you’re talking about. Radon is the heaviest gas with an atomic weight of 222.00. Bromine, a liquid, has an atomic mass of 79.90. So in this case, the gas is heavier than the liquid.
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