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There can be no equivalence.

A milligram is a measure of mass. A millilitre is a measure of volume. The two measure different things and, according to basic principles of dimensional analysis, conversion from one to the other is not valid.

If you are not convinced, consider a millilitre of air. How many milligrams? Next consider a millilitre of water. How many milligrams?

The masses of equal volumes of the two substances will clearly be very different. So there is no direct conversion between mass and volume: you need to know the density of the substance to enable you to carry out the conversion.

Many people believe that there is an exact conversion for pure water: that is not true. It is only an approximation and that has been the case since 1964 when the definition of the litre was changed.

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9y ago
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9y ago

There can be no equivalence.

A milligram is a measure of mass. A millilitre is a measure of volume. The two measure different things and, according to basic principles of dimensional analysis, conversion from one to the other is not valid.


If you are not convinced, consider a millilitre of air. How many milligram? Next consider a millilitre of water. How many milligram? The masses of equal volumes of the two substances will clearly be very different. So there is no direct conversion between mass and volume: you need to know the density of the substance to enable you to carry out the conversion.


Some people still believe that there is a conversion in relation to pure water but that is only approximately true. Until 1964 (more than 50 year ago!) a litre was defined as the volume of one kilogram of pure water at 4 degrees Celsius and at a pressure of 760 millimetres of Mercury. With that definition a conversion would have been possible - but only for pure water and only under those conditions. That definition of a litre was abandoned in favour of 1 litre =1000 cubic centimetres. So now, even for water, there is no simple conversion. In fact the density of pure water at a pressure of 1 bar, reaches its maximum value at 4 deg C and that value is 999.972 0 g/ml. At room temperature (20 deg C) it is 998.2071 mg/ml.

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9y ago

A millilitre is a unit of capacity. A milligram is a unit of mass. Without some unit of density to compare, the two units are incompatible.

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