Calculating Molality and Mass of KBr for Freezing Point Depression

AI Thread Summary
To calculate the mass of KBr needed to lower the freezing point of 535 ml of water by 1.40 degrees Celsius, the van 't Hoff factor for KBr, which is 2, must be considered. Initially, the molality was calculated as 0.75, but this did not yield the correct mass. After incorporating the van 't Hoff factor, the molality was recalculated to be 0.376, resulting in a required mass of approximately 23.9 g of KBr. The discussion highlights the importance of including the van 't Hoff factor in freezing point depression calculations. Ultimately, the correct approach led to the successful completion of the assignment.
pari786
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Assume that the density of water is 1.00 g/ml . Calculate the quantity of KBr that would need to be added to lower the freezing point of 535 ml of water by 1.40 degree celsius:

What I'm trying to do is the following:

Step 1:

Tf = Kf . m

I took Tf = 1.4
Kf = 1.86
and found the molality as 0.75

Step 2:

then I used the molality equation which is

molality = moles solute/kg solvent

molality = 0.75
kg solvent = 0.535 kg
and got the no. of moles as 119 g/mol


Step 3


no. of moles = mass /molar mass and
got 47.6 g for mass

but the answer is still wrong ... I don't know where I'm making mistake. It's an online assignment so I don't know what the answer should be. But please guys help me and check if I'm doing everything right.
 
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pari786 said:
Assume that the density of water is 1.00 g/ml . Calculate the quantity of KBr that would need to be added to lower the freezing point of 535 ml of water by 1.40 degree celsius:

What I'm trying to do is the following:

Step 1:

Tf = Kf . m

I took Tf = 1.4
Kf = 1.86
and found the molality as 0.75

Step 2:

then I used the molality equation which is

molality = moles solute/kg solvent

molality = 0.75
kg solvent = 0.535 kg
and got the no. of moles as 119 g/mol


Step 3


no. of moles = mass /molar mass and
got 47.6 g for mass

but the answer is still wrong ... I don't know where I'm making mistake. It's an online assignment so I don't know what the answer should be. But please guys help me and check if I'm doing everything right.


what is the vanthoff factor for KBr?
 
gravenewworld said:
what is the vanthoff factor for KBr?

oh so you mean to say that I do have to consider vanthoff factor for KBr too in this problem?
I must have forgotten about that?
 
pari786 said:
oh so you mean to say that I do have to consider vanthoff factor for KBr too in this problem?
I must have forgotten about that?

vanthoff factor for KBr is 2 since we get two ions from one mole of KBr.
Is that right?
 
pari786 said:
vanthoff factor for KBr is 2 since we get two ions from one mole of KBr.
Is that right?

Hi, I'm doing the caculations again, see if they are right now,
I'm getting molality as 0.376
no. of moles =0.20116
molar mass =119 g/mol
mass = 23.9 g
 
hey, thanks for reminding me about the i value ... I tried it in the assignment questions and i got the right answer.
Thanks a lot for the help.
 
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