Which Cannot Determine Molar Mass?

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SUMMARY

The discussion centers on identifying which method cannot determine molar mass among several options. The consensus is that specific heat (option d) cannot universally determine molar mass, as it is primarily applicable to metals under the Dulong-Petit law, which estimates molar mass with ~3% accuracy for elemental metals. In contrast, osmotic pressure, freezing point depression, and vapor pressure measurements can directly determine molar mass, while density (option e) can be useful for crystalline solids if the crystal structure is known. The discussion emphasizes the limitations of specific heat and density in broader applications.

PREREQUISITES
  • Understanding of colligative properties, specifically osmotic pressure and freezing point depression.
  • Familiarity with the Dulong-Petit law and its application to metals.
  • Knowledge of crystal structures and their relevance to density measurements.
  • Basic concepts of vapor pressure and its relationship to boiling point.
NEXT STEPS
  • Research the Dulong-Petit law and its limitations in estimating molar mass.
  • Study the van 't Hoff factor and its implications for dissociation and association in solutions.
  • Learn about the methods for determining crystal structures and their impact on density calculations.
  • Explore the application of colligative properties in real-world scenarios, particularly in solution chemistry.
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Chemistry students, educators, and professionals involved in analytical chemistry, particularly those focusing on molar mass determination and the application of physical chemistry principles.

apchemstudent
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I had a multiple choice question like this:

Which one of these CANNOT determine the molar mass?

a) osmotic pressure

b)change in temperature of freezing point

c)vapor pressure measurements

d)specific heat

e)density of solid


I know its not a or b. However i cannot decide between c, d, or e...
I had d as well because you cannot determine the molar mass for everything. According to petit-dulong law, it only applies to metal elements. And even still, you cannot really determine the molar mass directly(can only estimate), where as osmotic pressure you can find molar mass directly and precise if values are correct.

please help thanks.
 
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You can rule out (c) likewise. It's a colligative property. After all, the BP is the temperature at which VP = 1 atm.

Anyway, like you said, it's a bit of a toss-up between (d) and (e). I'll let you decide.

d) works approximately for metals using Dulong-Petit... pretty accurately (within ~3% accuracy) for most elemental metals (Hg is off by ~15%); less accurately for alloys. Doesn't work for very much else.

e) works very well for a crystalline solid, if you know its crystal structure. But this requires aqdditional information (ie : the crystal structure). Barely works for amorphous materials, though there's a rough correlation among some classes of organic compounds.
 
You can use a,b,c if you are sure that the molecule will not dissociate/associate.
Infact they were used .Then people noticed that it gives stupid results with some molecules due to association/dissociation,they were used to find degree of dissociation.Look up vant Hoff factor and all that.
 

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