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The solubility of KNO3 is 155 g per 100.0 g of water at 75°C and 38.0 g at 25°C. What mass (in grams) of KNO3 will crystallize out of solution if exactly 525.0 g of its saturated solution at 75°C is cooled to 25°C?

Respuesta :

mickymike92

Answer: Mass of KNO₃ that will crystallize of of solution = 241.0 g

Explanation:

mass of solution = mass of solvent + mass of solute

mass involved at 75°C = 155 g + 100 g = 255 g solution

mass involved at 25°C = 38.0 g + 100 g = 138 g solution

mass of solute deposited on cooling from 75°C to 25°C = 255 - 138 = 117 g of solute.

255 g of KNO₃ solution deposited 117 g of KNO₃ solute.

Therefore, 525.0 g of saturated solution will deposit = 117 * 525 / 255

= 241. 0 g of KNO₃

Eduard22sly

The mass (in grams) of KNO₃ that will crystallise out of the solution is 241 g

Determination of the mass of the solution at 75°C

  • Mass of KNO₃ = 155 g
  • Mass of water = 100 g
  • Mass of solution at 75°C =?

Mass of solution = mass of solute + mass of solvent

Mass of solution at 75°C = 155 + 100

Mass of solution at 75°C = 255 g

Determination the mass of the solution at 25°C

  • Mass of KNO₃ = 38 g
  • Mass of water = 100 g
  • Mass of solution at 25°C =?

Mass of solution = mass of solute + mass of solvent

Mass of solution at 25°C = 38 + 100

Mass of solution at 25°C = 138 g

Determination of the mass deposited on cooling

  • Mass of solution at 75°C = 255 g
  • Mass of solution at 25°C = 138 g
  • Mass of KNO₃ deposited on cooling =?

Mass deposited = Mass of solution at 75°C – Mass of solution at 25°C

Mass deposited = 255 – 138

Mass of KNO₃ deposited on cooling = 117 g

How to determine the mass of KNO₃ that will crystallised out of a solution of mass 525 g

255 g of KNO₃ solution deposited 117 g of KNO₃ solute.

Therefore,

525 g of saturated solution will deposit = (525 × 117) / 255 = 241 g of KNO₃

Thus, 241 g of KNO₃ will crystallised out.

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