Question

How do you convert 1000 mg to ml?

Answer 1

1000 mg of the matter is equal to `1/d` ml of matter, where `d` is density of the matter.

Explanation:

The `mg` is milligram, a unit of weight and `ml` is milliliter and hence a unit of volume. The two cannot be compared and converted. However, as density of water is `1`, `1000` ml of water weighs `1000` g (not mg) or `1,000,000` mg.

However one can say that if `d` is density (in grams per cubic centimeter or per milliliter) then `1000` ml of a liquid is equivalent to `d xx1,000,000` mg or `1000` mg of matter is equal to `1/d` ml of it.

Answer 2

Depends on density.

Explanation:

i.e. if you are measuring for water, then `1000" mg"=1" mL"` as the density of water is `1000g/"mL"`

V = Volume
M = Mass
D = Density

`V = M/D`

Other examples

Lead:
Density = `11.35xx10^3" kg"/m^3`
`(1000" mg")/(11.35xx10^3 )= 0.088" mL"`

Cork:
Density = `0.24xx10^3" kg"/m^3`
`(1000" mg")/(0.24xx10^3)= 4.167" mL"`

Answer 3

There is no direct conversion from milligrams to milliliters.

Explanation:

Milligrams are a measure of mass and milliliters are a measure of volume, therefore, there is no direct conversion between them.

However, we can relate mass and volume through density, as:

`"density"=("mass")/("volume")`.

We can use density to find the volume of a given mass by manipulating the density formula:

`"volume"=("mass")/("density")`

We can also use density and volume to determine the mass of a given volume of a substance:

`"mass"="volume"xx"density"`

So, if we have milligrams and density, we can get milliliters; and if we have milliliters and density, we can get milligrams.

However, these are not direct conversions from milligrams to milliliters.

For example, the density of water, `"1 g/mL"`, tells us that `"1 g"` of water has a volume of `"1 mL"`. We can convert `"1 g"` to `"1000 mg"` so that the density would be `"1000 mg/mL"`. So here we could say that `"1000 mg"` of water has a volume of `"1 mL"`, but this is not the same as converting directly from milligrams to milliliters.

Examples

What is the mass of `"1 mL"` of water if the density is `"1000g/mL"`?

`"mass H"_2"O"=1color(red)cancel(color(black)("mL"))xx("1000 mg")/(1color(red)cancel(color(black)("mL")))="1000 mg H"_2"O"`

What is the volume of `"1000 mg"` of water if the density is `"1000 g/mL"`?

`"volume H"_2"O"=1000color(red)cancel(color(black)("mg"))xx(1"mL")/(1000color(red)cancel(color(black)("mg")))="1 mL H"_2"O"`

However, we are still not directly converting from milligrams to milliliters. We have to have density as the go-between.