Calculating the Mass of Potassium Nitrate Required to Produce a Saturated Solution in 50 grams of Water at 313K

Introduction:
Potassium nitrate is a salt that is commonly used in fertilizers, food preservatives, and fireworks. It is also used in the production of gunpowder. When potassium nitrate is dissolved in water, it forms a solution that can be either unsaturated, saturated, or supersaturated, depending on the concentration of the salt in the solution. In this question, we are asked to calculate the mass of potassium nitrate required to produce a saturated solution in 50 grams of water at 313K.

Understanding the Problem:
To solve this problem, we need to know the solubility of potassium nitrate in water at 313K. Solubility is the maximum amount of solute that can be dissolved in a given amount of solvent at a specific temperature. The solubility of potassium nitrate in water increases with temperature. At 313K, the solubility of potassium nitrate in water is 32g/100g of water.

Calculating the Mass of Potassium Nitrate:
To calculate the mass of potassium nitrate required to produce a saturated solution in 50 grams of water at 313K, we need to use the following formula:

Mass of potassium nitrate = solubility x mass of water

Substituting the values, we get:

Mass of potassium nitrate = 32g/100g x 50g
Mass of potassium nitrate = 16g

Therefore, to produce a saturated solution of potassium nitrate in 50 grams of water at 313K, we need 16 grams of potassium nitrate.

Conclusion:
In summary, the mass of potassium nitrate required to produce a saturated solution in 50 grams of water at 313K is 16 grams. It is important to note that this calculation is based on the assumption that all of the potassium nitrate added to the water will dissolve to form a saturated solution. In reality, the solubility of potassium nitrate in water may be affected by factors such as impurities in the salt or the temperature of the solution.

Given: 50 grams of water at 313K ,
To find: Mass of potassium nitrate,
Solution: Solubility of potassium nitrate at 313k = 62/100,
100g of water contains potassium nitrate =62g ,
50g of water contains potassium nitrate =62/100×50=31g ,
Hence, the answer will be 31g potassium nitrate . hope it'll help u :)....