Law of multiple proportions (need method check please)

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Discussion Overview

The discussion revolves around the Law of Multiple Proportions, specifically how to apply it to a homework problem involving the mass ratios of carbon and hydrogen in compounds. Participants explore methods for calculating these ratios and express uncertainty about the correct approach.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant presents calculations suggesting a mass ratio of carbon to hydrogen of 140:1 but expresses uncertainty about the correctness of the method used.
  • Another participant questions whether dividing the ratios of C/H by H/C yields a valid representation of the Law of Multiple Proportions.
  • A different participant provides an example involving oxygen and carbon, calculating mass ratios and questioning the correctness of the method applied.
  • Some participants clarify that the Law of Multiple Proportions applies to two different compounds, indicating that the initial calculations may not align with the law's requirements.
  • One participant mentions the need for atomic weights to derive meaningful ratios from mass data.
  • Another participant notes that the ratio of 140 lacks clear physical significance in the context of the law.

Areas of Agreement / Disagreement

Participants generally agree that the Law of Multiple Proportions requires data from two different compounds, and there is uncertainty about the application of the method used in the initial calculations. Multiple competing views on the correct approach remain unresolved.

Contextual Notes

Participants highlight the importance of using atomic weights to convert mass ratios into atom ratios, which is essential for applying the Law of Multiple Proportions correctly. The discussion also reflects varying levels of understanding regarding the law and its application.

rwooduk
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Homework Statement


DfXmKL6.jpg


Homework Equations


Law of multiple proportions

The Attempt at a Solution


Carbon first:

4.61/0.39 = 11.82 C/H

Hydrogen

0.39/4.61 = 0.08 H/C

therefore 11.82/0.08 = 139.72 ~ 140

masses of carbon that combine with hydrogen are in a 140:1 ratio

Does this look right? Or have i just done the second part?

image.jpg


i have no idea what I am doing

Thanks for any help.
 
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What does this mean ? You divide C/H by H/C and get C2/H2. Is that the law of multiple proportions ?
 
BvU said:
What does this mean ? You divide C/H by H/C and get C2/H2.

This was just a method i followed from here:

http://chemistry.about.com/od/workedchemistryproblems/a/law-of-multiple-proportions-problem.htm

there are 57.1 g O and 42.9 g C. The mass of O per gram C is:

57.1 g O / 42.9 g C = 1.33 g O per g C

there are 72.7 g O and 27.3 g C. The mass of oxygen per gram of carbon is:

72.7 g O / 27.3 g C = 2.66 g O per g C

Dividing the mass O per g C of the second (larger value) compound:

2.66 / 1.33 = 2

Is this method not correct?

BvU said:
Is that the law of multiple proportions ?

As I understand it so far for AB and AB2 there are small number ratios for the B of each compound. I am unsure how to apply this to the question.

Many thanks for the reply
 
Ha, in the example, there are two substances. In one of them, there is twice as much O per C as in the other. (so one can be CO4 and the other CO2, for example -- but CO and CO2 is more probable :wink:) .

You only have one substance, so I'm afraid you will need atomic weights to work towards a nice ratio.
 
BvU said:
Ha, in the example, there are two substances. In one of them, there is twice as much O per C as in the other. (so one can be CO4 and the other CO2, for example -- but CO and CO2 is more probable :wink:) .

ahh i see thanks

BvU said:
You only have one substance, so I'm afraid you will need atomic weights to work towards a nice ratio.

please could you expand on this a little?

Did the 140 I got have any relevence?

thanks again
 
LOMP: Law which states that when elements combine, they do so in the ratio of small whole numbers (assuming they have the same type of chemical bonds).
For two substances with different weight ratios you can divide out the atomic weights.

Molecules are formed from atoms (or other molecules) in the ratio of small numbers of constituents. The constituents are not counted in amounts of mass but in amounts of atoms (or molecules). So you have to convert the masses to number of atoms by dividing by the atomic weights.

[edit] And the 140 is C2 / H2 in kg2/kg2, for which I can't think of an interesting physical meaning :smile:
 
BvU said:
For two substances with different weight ratios you can divide out the atomic weights.

Molecules are formed from atoms (or other molecules) in the ratio of small numbers of constituents. The constituents are not counted in amounts of mass but in amounts of atoms (or molecules). So you have to convert the masses to number of atoms by dividing by the atomic weights.

Ahh I see, yes, ok thanks very much for your help!
 
You're welcome. Interesting substance ! This ratio has puzzled mankind (well, the scientific community) for a while, until August Kekule dreamed up the solution !
 
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Yes, as said, for multiple proportions law you need two compounds. If as well as data in #1 you use that in #3 you can answer the question.
 
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