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

Answer:

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

Step-by-step explanation:

Density is mass divided by the volume, that is:

$d = \frac{m}{v}$

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

$d = \frac{m}{v}$

$1 = \frac{m}{500}$

$m = 500$

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