Question

Water has a density of 1.00g/cm^3 per cubic centimeter. What is the mass of half a liter of water?

Answer 1

The mass of half a liter of water is 500g, that is, 0.5kg.

Explanation:

Density is mass divided by the volume, that is:

`d = (m)/(v)`

Here, we have to be careful. Since the density is in grams per cm³, m has to be in grams and v in cm³.

We have that:

`d = 1`

What is the mass of half a liter of water?

One liter is 1000 cm³.

So half a liter is 1000/2 = 500 cm³, which means that
`v = 500`

Then

`d = (m)/(v)`

`1 = (m)/(500)`

`m = 500`

The mass of half a liter of water is 500g, that is, 0.5kg.