A solution containing 80g of NaNO3 in 75g of H2O at 50 degrees celsius is cooled to 20 degrees celsius, how many grams of solid NaCO3 crystallized after cooling?

To solve this problem, we need to understand the concept of solubility and saturation.

Solubility is the maximum amount of solute that can dissolve in a given quantity of solvent at a particular temperature. If we exceed this limit, any excess solute will crystallize and form a solid.

To find out how much solid NaCO3 crystallized after cooling, we can follow these steps:

1. Find the initial amount of NaNO3 dissolved in water:
- The given solution contains 80g of NaNO3.

2. Determine the maximum amount of NaNO3 that can be dissolved in 75g of water at 50 degrees Celsius:
- We need to consult a solubility chart or table to find the solubility of NaNO3 in water at different temperatures.
- Let's assume that at 50 degrees Celsius, the solubility of NaNO3 is 200g/100g of water.
- This means that 100g of water can dissolve 200g of NaNO3.
- Therefore, 75g of water can dissolve (200g/100g) * 75g = 150g of NaNO3.

3. Compare the initial amount of NaNO3 with its solubility at 50 degrees Celsius:
- Since the initial amount (80g) is less than the maximum solubility (150g), we still have a dissolved solution at this point.

4. Calculate the maximum amount of NaNO3 that can remain dissolved after cooling to 20 degrees Celsius:
- Again, we need to consult a solubility chart or table to find the solubility of NaNO3 in water at different temperatures.
- Let's assume that at 20 degrees Celsius, the solubility of NaNO3 is 100g/100g of water.
- This means that 100g of water can dissolve 100g of NaNO3.
- Therefore, 75g of water can dissolve (100g/100g) * 75g = 75g of NaNO3.

5. Calculate the mass of NaNO3 that will crystallize:
- The difference between the initial amount of NaNO3 (80g) and the maximum amount that can remain dissolved (75g) is 80g - 75g = 5g.
- This means that 5g of NaNO3 will crystallize and form a solid during the cooling process.

6. Determine the molar mass of NaNO3 and NaCO3 if necessary:
- The molar mass of NaNO3 is 85g/mol, and the molar mass of NaCO3 is 106g/mol.

Please note that the actual solubility values and corresponding calculations might vary depending on the specific substance and conditions. It is always best to consult reliable sources or references for accurate solubility data.