How do you convert 1000 mg to ml?

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How do you convert 1000 mg to ml?

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Answer 1 · 2016-04-07T18:09:22

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

Explanation:

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

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

Answer 2 · 2018-07-15T02:06:44

Depends on density.

Explanation:

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

V = Volume
M = Mass
D = Density

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

Other examples

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

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

Answer 3 · 2018-07-15T02:45:54

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:

$density = \frac{mass}{volume}$ $"density"=("mass")/("volume")$ .

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

$volume = \frac{mass}{density}$ $"volume"=("mass")/("density")$

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

$mass = volume \times density$ $"mass"="volume"xx"density"$

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

Examples

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

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

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.

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How do you convert 1000 mg to ml?

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