Calculating Freezing Point of K2CrO4 Solution

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The discussion focuses on calculating the freezing point of a potassium chromate (K2CrO4) solution made by dissolving 250.0 g in 1.00 kg of water. The freezing point depression formula involves the Van't Hoff factor, molality, and the freezing point depression constant. The user initially calculated a change in freezing point of -5.75 degrees Celsius but noted a discrepancy with an answer key stating -7.18 degrees Celsius. The confusion arose from incorrectly considering the total mass of the solution instead of just the solvent. The correct calculation should only use the 1.00 kg of water for molality.
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Homework Statement


A solution is made by dissolving 250.0 g of solid potassium chromate (K2CrO4) in 1.00 kg of water?
what will be the freezing point of the new solution.



Homework Equations


[Delta]T(freezing point)=(Van't Hoff Factor)(molal concentration of solute particles)(molal freezing point-depression constant)

Van't Hoff Factor = (moles of particles in solution/moles of solute dissolved)

molality= moles of solute/ kg of solution

The Attempt at a Solution


(250 g K2CrO4)(1 mol K2CrO4/194.188 K2CrO4) = 1.29 mol of K2CrO4
(1.29 mol K2CrO4/1.25 kg solution) = 1.0296 mol/kg
Change in freezing point = (1.0296 molality)(1.86 degrees Celsius/molality)(3 Van't Hoff Factor)
Change in freezing point = 0 degrees celsius - 5.750 degrees celsius
Change in freezing point = -5.75 degrees celsius

though the answer keys tells me its -7.18? please help me out
 
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uuuhhhx2 said:

Homework Statement


A solution is made by dissolving 250.0 g of solid potassium chromate (K2CrO4) in 1.00 kg of water?
what will be the freezing point of the new solution.



Homework Equations


[Delta]T(freezing point)=(Van't Hoff Factor)(molal concentration of solute particles)(molal freezing point-depression constant)

Van't Hoff Factor = (moles of particles in solution/moles of solute dissolved)

molality= moles of solute/ kg of solution

The Attempt at a Solution


(250 g K2CrO4)(1 mol K2CrO4/194.188 K2CrO4) = 1.29 mol of K2CrO4
(1.29 mol K2CrO4/1.25 kg solution) = 1.0296 mol/kg
Change in freezing point = (1.0296 molality)(1.86 degrees Celsius/molality)(3 Van't Hoff Factor)
Change in freezing point = 0 degrees celsius - 5.750 degrees celsius
Change in freezing point = -5.75 degrees celsius

though the answer keys tells me its -7.18? please help me out

1kg of solvent only, not 1.25kg
 
nvm i got it
 
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