Answer :
Answer:
13.4g of NaCl will crystallize per 100g of water at 40°C.
Explanation:
Solubility stands for the maximum amount of solute that may stay dissolved per 100 g of water at a specific temperature. A solution with this concentration is known as a saturated solution. At 40°C, every 100 g of water, 36.6 g of NaCl can remain dissolved. If more solute is added to the solution the excess will crystallize and precipitate. Since prior to criystallization there are 50 g of NaCl dissolved, what will precipitate will be:
50g - 36.6g = 13.4g
Once crystallization is initiated in a 50% sodium chloride solution at 40°C, 13.4 g of NaCl crystals will form per 100 g of water. This is calculated by subtracting the solubility limit at 40°C (36.6 g) from the amount initially present in the solution (50 g).
If a sodium chloride (NaCl) solution in water at 40°C has a concentration of 50%, for every 100 g of water, there is 50 g of NaCl dissolved. Since the solubility of NaCl at 40°C is 36.6 g per 100 g of water, the solution is supersaturated because it contains more solute than can remain in solution at that temperature. When crystallization starts, the excess NaCl above its solubility limit will precipitate out.
To calculate the quantity of NaCl crystals that will form, we subtract the maximum solubility at 40°C from the total amount of NaCl currently dissolved:
Amount of NaCl present initially = 50 g
Maximum solubility at 40°C = 36.6 g
NaCl crystals that will form = Amount of NaCl present initially - Maximum solubility at 40°C
NaCl crystals that will form = 50 g - 36.6 g = 13.4 g
Therefore, 13.4 g of NaCl crystals will form per 100 g of water once crystallization has been started.