# How do you convert 1000 mg to ml?

Apr 7, 2016

1000 mg of the matter is equal to $\frac{1}{d}$ ml of matter, where $d$ is density of the matter.

#### Explanation:

The $m g$ is milligram, a unit of weight and $m l$ 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 $d \times 1 , 000 , 000$ mg or $1000$ mg of matter is equal to $\frac{1}{d}$ ml of it.

Jul 15, 2018

Depends on density.

#### Explanation:

i.e. if you are measuring for water, then $1000 \text{ mg"=1" mL}$ as the density of water is $1000 \frac{g}{\text{mL}}$

V = Volume
M = Mass
D = Density

$V = \frac{M}{D}$

## Other examples

Density = $11.35 \times {10}^{3} \frac{\text{ kg}}{m} ^ 3$
(1000" mg")/(11.35xx10^3 )= 0.088" mL"

Cork:
Density = $0.24 \times {10}^{3} \frac{\text{ kg}}{m} ^ 3$
(1000" mg")/(0.24xx10^3)= 4.167" mL"

Jul 15, 2018

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:

$\text{mass"="volume"xx"density}$

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

Examples

What is the mass of $\text{1 mL}$ of water if the density is $\text{1000g/mL}$?

$\text{mass H"_2"O"=1color(red)cancel(color(black)("mL"))xx("1000 mg")/(1color(red)cancel(color(black)("mL")))="1000 mg H"_2"O}$

What is the volume of $\text{1000 mg}$ of water if the density is $\text{1000 g/mL}$?

$\text{volume H"_2"O"=1000color(red)cancel(color(black)("mg"))xx(1"mL")/(1000color(red)cancel(color(black)("mg")))="1 mL H"_2"O}$

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