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This is a chemistry and nursing question.

If a solution is given in grams per ml, multiply by 1000 to get grams per liter.

For example, 0.0025 g / mL converts to 2.5 g / L.

Now, a question for you, the reader: Why would anyone express something in grams per milliliter, when a milliliter of water weighs almost exactly one gram? Where might this exact problem come up in real life?

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14y ago
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13y ago

Take the amount in grams and multiply this by the "g per L" value.

* * * * *

That is patently incorrect as basic dimensional analysis shows:

g has dimension [M]

g per L has dimensions [ML-3]

and your target, L. has dimensions [L3].

Multiply them together and you get a measure with dimension [M2L-3]. Not the dimensions of the required measure.

However, divide the amount in grams by the "g per L" value and you get

[M]/[ML-3] = 1/[L-3] = [L3].

Sadly, dimensional analyses is rather an overlooked aspect of mathematics.

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Q: How do you convert g per mL to L?
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