Why is 100g of water and 1000g of water the same density?
The density of a substance is defined as its mass per unit volume. In the case of water, the density is typically measured in grams per milliliter (g/mL) or grams per cubic centimeter (g/cm³).
To understand why 100 grams (g) of water and 1000 grams (g) of water have the same density, we need to consider the relationship between mass and volume.
Density (ρ) = Mass (m) / Volume (V)
For water, the density is approximately 1 g/mL, which means that 1 gram of water occupies 1 milliliter of volume. This value remains constant as long as the temperature and pressure of the water remain constant.
If we have 100 grams of water, we can determine its volume by dividing the mass by the density:
Volume (V) = Mass (m) / Density (ρ)
V = 100 g / 1 g/mL
V = 100 mL
Similarly, if we have 1000 grams of water, we can calculate its volume using the same formula:
V = 1000 g / 1 g/mL
V = 1000 mL
As you can see, both 100 grams and 1000 grams of water have the same volume of 100 mL. Therefore, their densities are the same, regardless of the different masses.