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A liter of water IS a kilogram. Since oil is lighter, it's about .625 kg
Oil is slightly less dense than water and a litre of water weighs a kilogram. It would be less than a kilogram, but by how much depends on the type of oil.
Yes, it is.
You need to find the density of the oil, from this you will be able to calculate the volume.
If you fill the container up then Yes. Litres are a measure of volume, which remains the same regardless of what fluid or material you are describing.