The density of diamond is 3.51g/cm^3,and the density of platinum is 21.43g/cm^3.If equal masses of diamond and platinum are transferred to equal volumes of water in separate graduated cylinders,which graduated cylinder would have the greatest volume change?
can you show me a calculation for this please
answered this below
Certainly! To determine which graduated cylinder would have the greatest volume change, we need to compare the densities of diamond and platinum with the density of water.
The density of water is approximately 1g/cm^3.
First, let's calculate the volume change for the diamond. We'll assume a mass of 1 gram for both the diamond and platinum to make the comparison easier and equal:
Density of diamond = 3.51g/cm^3
Mass of diamond = 1g
Volume of diamond = mass / density
Volume of diamond = 1g / 3.51g/cm^3
Volume of diamond ≈ 0.284 cm^3
Next, let's calculate the volume change for platinum:
Density of platinum = 21.43g/cm^3
Mass of platinum = 1g
Volume of platinum = mass / density
Volume of platinum = 1g / 21.43g/cm^3
Volume of platinum ≈ 0.047 cm^3
Now, let's compare the volume changes:
The volume change for the diamond is approximately 0.284 cm^3, while the volume change for the platinum is approximately 0.047 cm^3.
Since the volume change for the diamond is larger, the graduated cylinder containing the diamond would have the greatest volume change when transferring equal masses of diamond and platinum to equal volumes of water.