A stone with a mass of 225.0g is placed into a graduated cylinder with a starting volume of 200.0ml. If the water in the cylinder is displaced to 225.0 ml, calculate the volume of the rock and its density.
Someone please help me!!!!!! :(
If the initial volume is 200.0 mL and it is 225.0 mL after the rock is added to it. The volume of the stone must be 225.0 - 200.0 = ?
To calculate the volume of the rock, we need to find the difference in volume before and after placing the rock in the graduated cylinder.
The initial volume (V1) of the graduated cylinder is 200.0 ml, and after placing the rock, the volume (V2) becomes 225.0 ml.
The volume of the rock (VRock) can be calculated by subtracting the initial volume from the final volume.
VRock = V2 - V1 = 225.0 ml - 200.0 ml = 25.0 ml
Therefore, the volume of the rock is 25.0 ml.
To calculate the density of the rock, we can use the formula:
Density (ρ) = Mass (m) / Volume (V)
The mass of the rock is given as 225.0 g, and the volume is 25.0 ml. However, since density is typically measured in grams per milliliter (g/ml), we need to convert the volume to grams.
To convert ml to grams, we need to know the density of water, which is approximately 1 g/ml.
So, the volume of the rock in grams (VRock_g) is:
VRock_g = VRock * Density (water) = 25.0 ml * 1 g/ml = 25.0 g
Now we can calculate the density of the rock:
Density (ρ) = Mass (m) / Volume (V) = 225.0 g / 25.0 g = 9.0 g/ml
Therefore, the density of the rock is 9.0 g/ml.