An empty container with an unknown volume is weighed and found to have a mass of 94.7g. The container is then filled with a liquid with a density of 1.015 g/cm^3 and reweighed. The mass of the container and the liquid is 154.4g. Determine the volume of the container to the appropriate number of significant figures.

Question

anonymous · Answer

$$Density=\frac{ mass }{ volume }$$
What is the density of the liquid?
What about its mass?

anonymous · Answer

the density is 1.015g/cm^3
the mass is 59.7g

anonymous · Answer

Nice job!
Now plug in those values.

anonymous · Answer

60.5955

anonymous · Answer

$$Volume=\frac{ mass }{ density }$$
Units should be in cm^3
because g/(g/cm^3) is cm^3

Dividing significant figure means the answer should have the least significant figures of the 3 original numbers.

94.7 has only 3 and the other two has 4, so the answer should have 3 significant figures.

anonymous · Answer

So 60.60 cm^3

anonymous · Answer

Would that be right?

anonymous · Answer

I got it. Thanks for the help!

anonymous · Answer

Nope 60.6cm^3
60.60 has 4 significant figure.
The 6,0,6,0 makes it 4
We use 3 to be the significant figure because when dividing, you choose the one with the least significant figure in the problem.
94.7g would be the least.