The Kf value for lauric acid is 3.9°C•kg/mol.
2. Calculate moles of benzoic acid solute, using the molality and the mass (in kg) of lauric acid solvent.
3. Calculate the experimental molecular weight of benzoic acid, in g/mol.
4. Determine the accepted molecular weight of benzoic acid from its formula, C6H5COOH.
5. Calculate the percent discrepancy between the experimental and accepted values.
THIS IS ALOT OF WORK SO I WILL REWARD 10 POINTS FOR THE 1ST ANSWER THE IS COMPLELTELY CORRECT WITH SHOWED WORK!
Atualizada:Mass of lauric acid- 7.94 grams
Mass of benzoic acid- 11.45 grams
Freezing temperature of pure lauric acid- 39.92 degrees celcius
Freezing point of the benzoic acid- lauric acid mixture- 48.37 degrees celcius
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Answers & Comments
Verified answer
There seems to be a problem with some of the numbers, but I'll give it a shot.
1) 48.37 - 39.92 = 8.45
8.45 = (3.90) (molality); molality = 2.17
2) molality = moles solute divided by kg solvent
2.17 = (moles) / 0.00794; moles = 0.0172
3) molec wt = grams divided by moles
11.45 / 0.0172 = 665
Here is where I will stop. The correct molecular weight for benzoic acid is 122.12 (answer to number 4) and no molality based determination of benzoic acid's molec. wt. would give such an incorrect value (especially a classroom problem). Most likely, that means there is a mistake in the data you entered. I admit I could have made a mistake in my technique, but I've been over it and over it.
5) The percent discprepancy would be done like this:
(true value minus experimental value) divided by true value. Times it by 100 to get a percent and use the absolute value for your answer, do not include a sign. The true value is the 122.12 value.
You don't have the van't Hoff factor in your problem, but I don't think this is an issue. I'm pretty sure benzoic acid is undissociated in lauric acid, so the van't Hoff factor would be one.
So, go back and double-check the problem in the textbook and double-check my solution against the text (or a web site). Go to the teacher (or a tutor or the classroom guru) and ask for a bit of help.
HTH
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Molecular Weight Of Benzoic Acid
Molar Mass Of Benzoic Acid