Question

a graduated cylinder is filled to the 40.00 ml mark with mineral oil. The masses of the cylinder before and after the addition of mineral oil are 124.966g and 159.446g. In the seperate experiment, a metal ball bearing of mass 18.713g is placed in the cylinder and the cylinder is again filled to the 40.00ml mark with the mineral oil. The combined mass of the ball bearing and mineral oil is 50.952g. calculate the density of the ball bearing

Answer 1

7.30 g/mL

Step-by-step explanation:

First we calculate the density of the mineral oil with the data from the first experiment:

• mass of mineral oil = 159.446 g - 124.996 g = 34.450 g

• Density of mineral oil = 34.450 g / 40.00 mL = 0.8612 g/mL

Regarding the second experiment, we can express the volumes as follows:

• 40.00 mL = Volume of Oil + Volume of Ball

• 40.00 mL = Mass of Oil / Density of Oil + Mass of Ball / Density of Ball

We can calculate the mass of oil using the given sum of masses:

• Mass of Oil = 50.952 g - 18.713 g = 32.239 g

We input the data we know in the volume equation:

• 40.00 mL = 32.239 g / 0.8612 g/mL + 18.713 g / Density of Ball

And solve for the density of the ball:

• Density of Ball = 7.30 g/mL