based on the relationship between mass and volume.... How much space would 75 grams of water occupy?
To determine how much space 75 grams of water would occupy, we need to understand the relationship between mass and volume for water. This relationship is described by the concept of density.
Density is the measure of how much mass is contained in a given volume. In mathematical terms, it is expressed as the ratio of mass (m) to volume (V):
Density = mass / volume
For water, the density is relatively constant at normal atmospheric pressure and temperature, which is approximately 1 gram per cubic centimeter (g/cm³) or 1 kilogram per liter (kg/L).
Therefore, if we have 75 grams of water, we can calculate the volume by dividing the mass by the density:
Volume = mass / density
In this case, the density of water is 1 g/cm³ (or 1 kg/L), so let's calculate the volume:
Volume = 75 grams / 1 g/cm³
By dividing, we find that:
Volume = 75 cm³
So 75 grams of water would occupy a volume of 75 cubic centimeters.