Volume density and mass is one of the most important topics in chemistry as they are crucial that you no how to calculate each one correctly in order to get the correct measurements
Calculations
V=M/D this means volume "V" Equals mass "M" divided by "D" density
One thing you will need to know is that these use the Si unit for there calculation so mass is generally grams volume generally milliliters and density is usually grams per milliliter notice i said generally sometimes volume is in liters and mass is in kilograms and density is kilograms a liter but you can always convert back and forth to get the proper setup
Here is a word problem for real world practicality I have a substance with a mass of twelve grams and a density of 3.43g/ml what is my volume
V= 12/3.43 V= 3.49 milliliters
Now I'll do one showing the need to convert I usually like to deal with the end result in small units so often Iconvert from kg to g and L to ml and Kg/l to g/ml but you may do as you wish it just depends on what one is trying to solve and your professors or teachers views
I have an object that weighs about 3.49 kg and has a density of 4.09 g/ml what is its volume in milliliters
First I need to figure out if my mass and density units match as far as grams and kilograms they do not obviously second now I need to decide which to convert or do I need to convert both since its asked for volume in milliliters I am gonna convert kilograms to grams and just leave my denstiy alone since they will cancel out in the division
3.49*1000 (1000 grams in a kilogram for those of us who need more detail)
Vml= 3490g/4.09gml (grams cancel leaving you with ml)
Vml= 3490/4.09
V= 853.3ml
(please note that i used "Vml" just to remind everyone what the unit of volume was you dont have to do this technically all you have to do is use V)
Now on to mass calculations
the formula for mass is
M= V*D
This formula means Where M= mass V= volume and D= density Mass is equal to the volume of your substance times its density
I will show you a problem without conversion since i did one above and these three equations are all of circular relations
I have a substance with a volume of 168 ml and a density of 3.27 g/ml what is its mass
Your equation should look like this
M= 168ml * 3.27 g/ml (g/ml stands for grams a milliliter) now just multiply
M= 549.4 grams (mass has no volumetric measurement that why milliliters did not carry)
Now for how to calculate density
The formula for density is
D= M/V
Where D is Density and M is Mass and V is Volume
Again I will not show a conversion as i showed one in the first part of this lesson and they are the same for each problem
I have a substance with a mass of 628 grams and a volume of 54.3 milliliters what is its density
D= 628g/54.3ml (since no unity cancel and its division the density unit will be g/ml)
D=11.6 g/ml
Please comment all problems are made up off the top of my head and are subject to human error we are not perfect please notify me by comments and I will correct them I hope this helps if you need clarification please comment