If a mineral has a gravity of 5.5, how much more matter is there in 1 cm3 of this mineral than in 1 cm3 of water?
Do you subtract the specific gravity of water which is 1 from the mineral gravity of 5.5 to find the difference in matter? Or, is the answer the same because 1 cm3 of water is the same as 1 cm3 of a mineral?
I bet the answer is 4.5 grams per cc. Why?
To determine how much more matter there is in 1 cm3 of the mineral compared to 1 cm3 of water, we need to calculate their respective masses.
The gravity of a mineral is a measure of its density, so we can use this information to find its mass per unit volume.
Let's assume the density of water is 1 g/cm3.
1. Determine the mass of 1 cm3 of water:
Mass of water = Density of water x Volume of water
Mass of water = 1 g/cm3 x 1 cm3 = 1 gram
2. Determine the mass of 1 cm3 of the mineral:
Mass of mineral = Density of mineral x Volume of mineral
To find the density of the mineral, we can use the gravity value:
Density of mineral = Gravity of mineral x Density of water
Density of mineral = 5.5 x 1 g/cm3 = 5.5 g/cm3
Now we can calculate the mass of 1 cm3 of the mineral:
Mass of mineral = 5.5 g/cm3 x 1 cm3 = 5.5 grams
3. Calculate the difference in masses:
Difference in mass = Mass of mineral - Mass of water
Difference in mass = 5.5 grams - 1 gram = 4.5 grams
Therefore, there is 4.5 grams more matter in 1 cm3 of the mineral compared to 1 cm3 of water.
To determine how much more matter there is in 1 cm3 of the mineral compared to 1 cm3 of water, we need to calculate the density of the mineral and compare it to the density of water.
Density is defined as mass per unit volume. Mathematically, density (ρ) is given by the formula:
ρ = mass/volume
Since we are given the gravity of the mineral, we can use it to determine its density relative to water. The gravity of a substance is a measure of its density compared to the density of water.
The formula to calculate the density of the mineral based on its gravity is:
density of mineral = gravity of mineral x density of water
The density of water is approximately 1 g/cm³. Therefore, the density of the mineral is:
density of mineral = 5.5 x 1 g/cm³
Now that we have the density of the mineral, we can calculate the mass of 1 cm³ of the mineral by rearranging the density formula:
mass = density of mineral x volume
Since the volume is 1 cm³, the mass of 1 cm³ of the mineral is equal to the density of the mineral.
Finally, to determine how much more matter there is in 1 cm³ of the mineral compared to 1 cm³ of water, we subtract the mass of 1 cm³ of water from the mass of 1 cm³ of the mineral.
In summary, to calculate how much more matter there is in 1 cm³ of the mineral than in 1 cm³ of water:
1. Calculate the density of the mineral using the formula: density of mineral = gravity of mineral x density of water.
2. Mass of 1 cm³ of the mineral is equal to the density of the mineral.
3. Subtract the mass of 1 cm³ of water from the mass of 1 cm³ of the mineral to determine the difference in matter.