High School

A solid mixture consists of 39.1 g of [tex]KNO_3[/tex] (potassium nitrate) and 6.9 g of [tex]K_2SO_4[/tex] (potassium sulfate). The mixture is added to 130 g of water.

Use the solubility curve in Figure 1 to answer the following question:

If the solution described is cooled to [tex]0^\circ C[/tex], what mass of [tex]KNO_3[/tex] should crystallize?

Enter your answer numerically in grams.

Answer :

Final answer:

Approximately 52 grams of KNO_3 should crystallize when the solution is cooled to 0°C.

Explanation:

To determine the mass of KNO_3 that should crystallize when the solution is cooled to 0°C, we need to find the solubility of KNO_3 at that temperature using the solubility curve.

Looking at the solubility curve, we can see that the solubility of KNO_3 at 0°C is approximately 40 g/100 g of water.

Since we have 130 g of water in the solution, we can calculate the mass of KNO_3 that should crystallize by multiplying the solubility by the mass of water:

Mass of KNO_3 = Solubility of KNO_3 x Mass of water

Mass of KNO_3 = 40 g/100 g x 130 g = 52 g

Therefore, approximately 52 grams of KNO_3 should crystallize when the solution is cooled to 0°C.

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