density conversion

[chief rocker]

:confused:

i am completely lost with this. mind you this is my first chemistry class, and my professor is not very good at explaining things.

Ethylene glycol (antifreeze) has a density of 1.11g/cm^3. What is the volume, in liters, of 5.8kg of this liquid?

HELP?

[Gokul43201]

What is the definition of density ?

[chief rocker]

d = m/v

measure of mass per unit of volume

[Gokul43201]

Now which of these 3 quantities are you given ? Can you substitute them into the equation ?

[leright]

rearranging d = m/v gives v = m/d. Convert 5.8 kg into grams since the density is in grams, by multiplying by 1000 (1 kg = 1 x 10^3 g).

v = 5800g/(1.11g/cm^3) = 5,225.23 cm^3.

You need the answer in liters, and 1x10^-3 L = 1 cm^3. Therefore, (1x10^-3 L/cm^3) * (5,225.23 cm^3) = 5.225 L.