Question #3a4cd

1 Answer
Jan 6, 2017

Here's what I got.

Explanation:

Start by taking a look at the solubility graph for potassium nitrate, "KNO"_3KNO3

![www.mts.net](useruploads.socratic.org)

As you can see, the graph indicates the mass of potassium nitrate that can be dissolved per "100 g H"_2"O"100 g H2O at various temperatures.

The green curve shows the amount of potassium nitrate that can be dissolved in "100 g"100 g of water at a given temperature in order to produce a saturated solution, which as you know is a solution which holds the maximum amount of dissolved salt.

In other words, in a saturated solution, the rate at which the solid dissolves to produce ions in solution is equal to the rate at which the dissolved ions combine to reform the solid.

![saylordotorg.github.io)

Now, start at 45^@"C"45C and trace a vertical line up to the green curve. From the point of intersection, trace a horizontal line to the solubility value.

You should find that at 45^@"C"45C, a saturated solution of potassium nitrate can hold about "75 g"75 g of salt for every "100 g"100 g of water. Any amount that exceeds this value will remain undissolved at this temperature.

In your case, you have "95 g"95 g of potassium nitrate in "100 g"100 g of water. You can say that you have an excess of

overbrace(" 95 g ")^(color(blue)("what you want to dissolve")) - overbrace(" 75 g ")^(color(blue)("what can be dissolved")) = overbrace(" 20 g ")^color(blue)("what remains undissolved")

Therefore, your solution will contain "75 g" of dissolved potassium nitrate, i.e. present as "K"^(+) and "NO"_3^(-) ions, and "20 g" of undissolved potassium nitrate, i.e. present as a solid, in "100 g" of water at 45^@"C".