Final Answer:
The density of the rose quartz is 1.0 g/cm3.
The specific gravity of the rose quartz is 1.0.
The units for specific gravity are unitless.
Step-by-step explanation:
The density of an object is defined as its mass per unit volume. The specific gravity of an object is defined as the ratio of the density of the object to the density of water. Since the density of water is 1.0 g/cm3, the specific gravity of an object is also equal to its density.
To find the density of the rose quartz, we can use the following formula:
density = mass / volume
where:
density is the density of the object (g/cm3)
mass is the mass of the object (g)
volume is the volume of the object (cm3)
In this case, the mass of the rose quartz is equal to the volume of the water that it displaces. This is because the rose quartz is completely submerged in the water, and the water that it displaces has the same volume as the rose quartz. Therefore, we can use the following formula to find the density of the rose quartz:
density = volume_water / volume_rose_quartz
where:
density is the density of the rose quartz (g/cm3)
volume_water is the volume of the water that the rose quartz displaces (cm3)
volume_rose_quartz is the volume of the rose quartz (cm3)
We are given that the volume of the rose quartz is 25 cm3. Therefore, we can plug this value into the formula to find the density of the rose quartz:
density = volume_water / volume_rose_quartz = 25 cm3 / 25 cm3 = 1.0 g/cm3
Therefore, the density of the rose quartz is 1.0 g/cm3.
To find the specific gravity of the rose quartz, we can simply use the following formula:
specific_gravity = density / density_water
where:
specific_gravity is the specific gravity of the object (unitless)
density is the density of the object (g/cm3)
density_water is the density of water (g/cm3)
We know that the density of the rose quartz is 1.0 g/cm3 and the density of water is 1.0 g/cm3. Therefore, we can plug these values into the formula to find the specific gravity of the rose quartz:
specific_gravity = density / density_water = 1.0 g/cm3 / 1.0 g/cm3 = 1.0
Therefore, the specific gravity of the rose quartz is 1.0.
The units for specific gravity are unitless. This is because specific gravity is a ratio of two densities, which have the same units (g/cm3). Therefore, the units cancel out, and the specific gravity is unitless.