To convert a gram to a liter, you must convert mass -- or weight -- to volume. This is a common calculation when working with mass, which is a core scientific concept. Once you understand how to complete mass and volume calculations, you will understand a concept that appears in many scientific theories.
Find the Density
When converting grams to liters, convert the mass -- or the weight -- to its volume. To do this, use the formula density = mass / volume.
Find the Volume
Since you are trying to find volume in this calculation, modify the density equation to solve for volume. The equation for this calculation is volume = mass / density.
Convert Grams to Liters
To find the volume of 150 grams of olive oil, for example, you would first find the density of olive oil. The density of olive oil is 913 kilograms/cubic meter, according to a table provided by The Engineering Toolbox. Since you are converting from grams to liters, first you have to convert the density from kilograms/cubic meter to grams/cubic centimeter by dividing the value by 1000.
This works out to: 913 / 1000 = 0.913 grams/cubic centimeter
Now, plug in the values for density and mass and solve for volume:
v = m ÷ density v = 150 grams ÷ 0.913 grams/cubic centimeter = 164.294 cubic centimeters
Next, you will need to convert from cubic centimeters to liters using the equation: liters = cubic centimeters / 1000.
This works out to: 164.294 cubic centimeters / 1000 = 0.164 liters
So, 150 grams of olive oil has a volume of 0.164 liters.