What is the molar mass of the unknown?

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SUMMARY

The molar mass of an unknown substance was calculated using the freezing point depression method. A 1.40 g sample was dissolved in 8.10 g of lauric acid, resulting in a freezing point depression of 1.23 °C. The calculation involved using the formula ΔT = Kf * m, where Kf for lauric acid is 3.9 °C kg/mol. The final calculated molar mass was determined to be approximately 538.46 g/mol after correcting for significant figures and rounding errors.

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  • Understanding of colligative properties, specifically freezing point depression.
  • Familiarity with the formula ΔT = Kf * m.
  • Basic knowledge of significant figures in scientific calculations.
  • Ability to perform unit conversions, particularly in mass and moles.
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  • Study the concept of colligative properties in detail.
  • Learn about the calculation of molar mass using different methods.
  • Explore the significance of significant figures in scientific reporting.
  • Investigate the properties and applications of lauric acid in chemistry.
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Homework Statement



A 1.40 g sample of an unknown is dissolved in 8.10 g of lauric acid. The freezing point is depressed 1.23 oC. What is the molar mass of the unknown?



Homework Equations



Delta T = Kf * m



The Attempt at a Solution



Delta T = Kf * m
=> m = 1.23 / 3.9 = 0.32

mole solute = 0.32 * 0.0081 = 0.0026 moles.

=> Molar mass = 1.40 / 0.0026 = 540 g/mol = final answer.

Am I doing correct? Please let me know!
 
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Not bad. Two thngs that will make your solution better.

1. Don't round down intermediate results (check that it changes molar mass by about 8g).
2. Don't ignore units in your calculations, they are much easier to follow when it is obvious what is what of what.
 
Last edited by a moderator:
Borek said:
Not bad. Two thngs that will make your solution better.

1. Don't round down intermediate results (check that it changes molar mass by about 8g).
2. Don't ignore units in your calculations, they are much easier to follow when it is obvious what is what of what.

--
chemical calculators - buffer calculator, concentration calculator
www.titrations.info - all about titration methods


Thanks so much for your response!

I have edited my answer to:

Delta T = Kf * m => m = 1.23 / 3.9 = 0.32 m

mole solute = 0.32 * 0.0081 = 0.0026 mole

Molar mass of the unknown = 1.40 / 0.0026 = 538.46 g/mol .

Hope it better ;)
 
This time you overdid - you don't have enough information to give 5 significant digits in the answer :smile: But you see that rounding errors were responsible for 538 being 530.
 
Last edited by a moderator:

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