Viscosity of Sugar: Calculating Avogadro# & Molecule Size

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SUMMARY

The viscosity of a 1 wt% aqueous sugar solution at 18.5°C is 1.025 times that of pure water. The diffusion coefficient of sugar molecules is 3.82×10-6 cm2/sec, and the molecular weight of sugar is 342.30 g/mol. To calculate Avogadro's number and the size of the sugar molecule, one can utilize Einstein's 1905 work on diffusion and viscosity relationships. This foundational knowledge is essential for understanding molecular behavior in solutions.

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  • Understanding of viscosity and its measurement
  • Familiarity with diffusion coefficients
  • Knowledge of molecular weight calculations
  • Basic principles of physical chemistry
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  • Research Einstein's 1905 paper on diffusion and viscosity
  • Learn how to calculate Avogadro's number using molecular weight and diffusion data
  • Explore the relationship between viscosity and molecular size
  • Study the properties of aqueous solutions and their behavior
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Chemistry students, physical chemists, and researchers interested in molecular dynamics and solution properties will benefit from this discussion.

jencheeg
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hi, this is the first time i learn about viscosity, but I don't know where to start with this question:
At 18.5°C, the viscosity of 1 wt% aqueous sugar solution is 1.025 times higher than the viscosity of pure water. At the same temperature, the diffusion coefficient of the sugar molecules is 3.82×10-6cm2/sec and the molecular weight is 342.30. Determine the Avogadro number and the size of the sugar molecule.
if you know any good website, please show me :)
 
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Do you have any thoughts or ideas?

Hint: Einstein, 1905
 
a good hint, thank you very much !
 

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