What's the Volume of a 100g Substance with a Density of 2.40 g/mL?

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Discussion Overview

The discussion revolves around calculating the volume of a substance given its mass and density, specifically a substance weighing 100g with a density of 2.40 g/mL. The focus is on the mathematical reasoning involved in the calculation.

Discussion Character

  • Mathematical reasoning

Main Points Raised

  • One participant states the problem of finding the volume based on the given density and mass.
  • Another participant asks how to begin answering the question, indicating uncertainty about the calculation process.
  • A participant attempts to calculate the volume using the formula but arrives at a result of 0.024 mL, expressing doubt about its correctness.
  • Some participants note that the setup of the calculation is correct but question the logic behind the resulting small number when dividing 100 by a density less than three.
  • Another participant suggests that the result should logically fall between 33 and 50 mL based on comparisons with simpler divisions.
  • Eventually, a participant corrects their earlier mistake and states that the volume is 41.67 mL, which is later affirmed by others in the thread.
  • Several participants confirm the calculation of 100/2.4 resulting in 41.67 mL.

Areas of Agreement / Disagreement

There is no consensus on the initial calculation, as participants express confusion and uncertainty. However, by the end of the discussion, there is agreement on the volume being 41.67 mL.

Contextual Notes

Some participants demonstrate uncertainty about the division process and the logic behind the expected range of the result, indicating potential misunderstandings in mathematical reasoning.

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A substance is found to have a density of 2.40 g mL-1 and weighs 100g. What is its volume in mL?
 
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How would you start to answer this question?
 
chemisttree said:
How would you start to answer this question?
100/2.4= 0.024 mL ! i don't know if its right :(
 
It's set up correctly but how do get that small of a number by dividing 100 by less than three?
 
chemisttree said:
It's set up correctly but how do get that small of a number by dividing 100 by less than three?

i don't know, could you please explain it to me more!
 
Oh, I don't know. 100/3=33.33333 and 100/2=50. Seems like 100/2.4 should be something between 33 and 50...
 
chemisttree said:
Oh, I don't know. 100/3=33.33333 and 100/2=50. Seems like 100/2.4 should be something between 33 and 50...

oops yeah right sorry for wrong answer :D 100/2.4= 41.67 mL
 
100/2.4 = 41.67 mL
 
Cute-Bunny said:
100/2.4 = 41.67 mL

Yep. That's it! :smile:
 

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