An irregularly shaped object has a mass of 67.5 If it is places into a graduated cylinder containing 50.0 ml water and the water level rises to 75.0 ml,what is the density of the object?
The displaced water is 25ml, or 25grams.
That has to equal the mass of the object.
density=mass/volume
2.7
To determine the density of the object, we need to use the formula:
Density = Mass / Volume
In this case, we are given that the mass of the object is 67.5 grams. We also know that when the object is placed in the graduated cylinder containing 50.0 ml of water, the water level rises to 75.0 ml.
To find the volume of the object, we need to subtract the initial volume of the water (50.0 ml) from the final volume of the water (75.0 ml):
Volume = Final Volume - Initial Volume
Volume = 75.0 ml - 50.0 ml
Volume = 25.0 ml
Now we have all the necessary information to calculate the density:
Density = Mass / Volume
Density = 67.5 g / 25.0 ml
It's important to note that density is typically expressed in grams per milliliter (g/ml) or grams per cubic centimeter (g/cm³). In this case, both the mass and the volume are given in grams and milliliters, so the units will cancel out, leaving us with the density in g/ml.
Now, we can calculate the density:
Density = 67.5 g / 25.0 ml
Density = 2.7 g/ml
Therefore, the density of the object is 2.7 g/ml.