An object with a mass of 7.8 g raises the level of water in a graduated cylinder from 25.1 mL to 31.8 mL. What is the density of the object?
The secret number has a 7 in the ones place.Then tens number is an odd number.
density = mass/volume
mass = 7.8 g from the problem.
volume = 31.8-25.1 = ?cc
To find the density of an object, you need to divide its mass by its volume. In this case, we have the mass of the object (7.8 g) and the change in water level in the graduated cylinder, which gives us the volume of the object.
To find the volume of the object, we need to calculate the difference in water levels before and after the object was added.
The initial water level in the graduated cylinder was 25.1 mL, and the final water level after adding the object was 31.8 mL. Therefore, the change in water level is:
31.8 mL - 25.1 mL = 6.7 mL
Now, to find the volume of the object, we convert the change in water level from milliliters to cubic centimeters (cm³) since 1 mL is equal to 1 cm³. So, the volume of the object is:
6.7 cm³
Now that we have the mass (7.8 g) and volume (6.7 cm³) of the object, we can calculate its density by dividing the mass by the volume:
Density = Mass / Volume
Density = 7.8 g / 6.7 cm³
Calculating this, we find that the density of the object is:
Density = 1.164 g/cm³
Therefore, the density of the object is 1.164 grams per cubic centimeter (g/cm³).