Question

You have 43.5g graduated cylinder and add 14.3ml of water to it. You place an unknown object in the graduated cylinder and the water level rises to 30.9ml The total mass of the object, graduated cylinder, and water is 91.8g. What is the density of the unknown object? (Remember, the density of water is 1g/mL)

Answer 1

To find the density of the unknown object, we need to use the formula:

Density = (mass of object) / (volume of object)

First, we need to find the mass of the object. We can do this by subtracting the mass of the graduated cylinder and the water from the total mass:

mass of object = total mass - mass of cylinder - mass of water

mass of object = 91.8g - 43.5g - 14.3g

mass of object = 34g

Next, we need to find the volume of the object. We can do this by subtracting the initial volume of water in the cylinder (14.3 mL) from the final volume of water and object in the cylinder (30.9 mL):

volume of object = final volume - initial volume of water

volume of object = 30.9 mL - 14.3 mL

volume of object = 16.6 mL

Now, we can use the formula for density:

Density = (mass of object) / (volume of object)

Density = 34g / 16.6mL

Density = 2.05 g/mL

Therefore, the density of the unknown object is 2.05 g/mL.