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The question, as stated, cannot be answered sensibly. A litre is a measure of volume, with dimensions [L3]. A gram is a measure of mass, with dimensions [M]. The two measure different things and elementary dimensional analysis teaches that you cannot convert between measures with different dimensions such as these without additional information.
As a simple mental exercise consider a litre of air and of water. They will have very different masses.
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Related questions
How much is 500gr?
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