Weight depends on gravity. People seem to think there is no gravity in space yet the earths gravitational pull is quite strong for quite long. Think of the moon, its pulled by earths gravity long after our atmosphere gives way to the vacuum of space. A liter of water would be the same weight in space and would only fade over long distances. As a side note space begins at like 60-70 miles above the earths surface. If you took a space ship up 120 miles (well into space) and parked it, you would promptly fall back to earth like any object dropped from a height. Lack of atmosphere implies nothing about gravity.
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In space, the weight of the water would be negligible because weight is a measure of the force acting on an object due to gravity. However, the mass of the water would remain the same, which for a liter of water is about 1 kilogram.
A liter of water weighs approximately 33.8 ounces.
One liter of water takes up 1000 cm^3 or 1 liter of space.
A liter of water weighs approximately 2.2 pounds. So a 1.00 liter bottle of drinking water would weigh about 2.2 pounds.
That depends on what the liter has in it. -- If the liter of space has air in it, there's roughly 0.0012 kilogram of mass there, but the exact number depends on the temperature and pressure. -- If the liter of space has water in it, there's roughly 1 kilogram of mass there. -- If the liter of space has gold, stones, or lead in it, there are several kilograms of mass there. -- If the liter of space is empty, there's no mass there at all. Units of mass (kilograms) are incompatible with units of volume (litres).
mg is milligram, a measure of weight. Liter is a measure of volume. A liter of WATER would weigh 1 million milligrams- but a liter of alcohol would weigh about 700,000 mg- since alcohol is lighter than water. A liter of mercury would weigh MUCH more, since it is heavier than water. So, to answer your question, we would need to know a liter of WHAT?