how much solid KNO3 will crystallize and a saturated solution of KNO3;if the solution is cooled from 65 degrees Celsius to 45 degrees Celsius.
To determine how much solid KNO3 will crystallize when a saturated solution of KNO3 is cooled from 65 degrees Celsius to 45 degrees Celsius, we need to use the concept of solubility. Solubility is the maximum amount of solute that can dissolve in a given amount of solvent at a specific temperature.
The solubility of KNO3 in water generally increases with temperature, meaning that more KNO3 can dissolve as the temperature increases. Therefore, when the solution cools down, the solubility of KNO3 decreases, resulting in the excess KNO3 crystallizing out of the solution.
To calculate the amount of KNO3 that will crystallize, we need to compare the solubility of KNO3 at 65 degrees Celsius and 45 degrees Celsius.
Here is the step-by-step process to approach this problem:
1. Determine the solubility of KNO3 at 65 degrees Celsius:
You can refer to solubility charts or tables to find the solubility of KNO3 in water at 65 degrees Celsius. Let's say the solubility is x grams of KNO3 per 100 grams of water.
2. Determine the solubility of KNO3 at 45 degrees Celsius:
Similarly, find the solubility of KNO3 in water at 45 degrees Celsius. Let's say the solubility is y grams of KNO3 per 100 grams of water.
3. Calculate the difference in solubility:
Subtract the solubility at 45 degrees Celsius (y) from the solubility at 65 degrees Celsius (x). This will give you the amount of KNO3 that is no longer soluble and will crystallize out of the solution.
4. Calculate the mass of the solution:
Determine the mass of the saturated solution by subtracting the mass of the solid KNO3 from the total mass of the solution initially.
5. Calculate the mass of KNO3 that will crystallize:
Multiply the mass of the solution by the difference in solubility calculated in step 3. This will give you the mass of solid KNO3 that will crystallize out of the solution upon cooling.
It's important to note that additional factors like impurities, supersaturation, or nucleation may also affect the amount of KNO3 that crystallizes. However, the approach described above will provide an estimate based on solubility considerations.