Question

How many grams are in 5.0 L of `H_2O`?

Answer 1

`5000` `"g H"_2"O"`

Explanation:

We're asked to find the number of grams in `5.0` `"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).