How do you convert 1000 mg to ml?

3 Answers
Apr 7, 2016

Answer:

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.

Jul 15, 2018

Answer:

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"#

Jul 15, 2018

Answer:

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.