# How many grams are in 5.0 L of H_2O?

Aug 9, 2017

$5000$ $\text{g H"_2"O}$

#### Explanation:

We're asked to find the number of grams in $5.0$ $\text{L H"_2"O}$.

To do this, we can use the density of water, which is color(purple)(1color(white)(l)"g/mL", to convert from liters to moles:

5.0cancel("L H"_2"O")((10^3cancel("mL"))/(1cancel("L")))((color(purple)(1color(white)(l)"g H"_2"O"))/(1cancel("mL"))) = color(red)(5.0xx10^3color(white)(l)"g H"_2"O"

(rounded to $2$ significant figures).

Thus, in five liters of water, there are color(red)(5.0xx10^3color(white)(l)"grams of water" (using $2$ significant figures, the amount given in the problem).