Molecular mass of gaseous compound question

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Discussion Overview

The discussion revolves around estimating the molecular mass of a gaseous binary compound based on its vapor density relative to oxygen, the mass of water produced upon combustion, and determining the number of hydrogen atoms in the compound. Participants explore various approaches to solve the problem, which includes calculations related to molecular mass, moles, and potential elemental compositions.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Technical explanation

Main Points Raised

  • One participant suggests using the vapor density information directly to estimate the molecular mass of the compound.
  • Another participant calculates the molecular mass as 62.1 g/mol using the vapor density and the mass of water produced, but expresses uncertainty about determining the number of hydrogen atoms.
  • Calculations for moles of the compound and hydrogen are discussed, with one participant providing a method to find the number of moles of hydrogen from the mass of water formed.
  • There is a correction from one participant regarding the approach taken in the calculations, indicating that details may have been missed.
  • After reworking the calculations, a participant concludes that there are approximately 6 hydrogen atoms in the molecule and proposes a molecular formula of Si2H6, suggesting silicon or nitrogen as possible elements for the second component based on the calculated atomic mass.
  • Some participants express appreciation for the help received in refining their calculations and understanding the problem better.

Areas of Agreement / Disagreement

While some participants agree on the calculated molecular mass and the number of hydrogen atoms, there is no consensus on the identity of the second element in the compound, as different possibilities are proposed based on the calculations.

Contextual Notes

Participants rely on specific values and calculations, but there are indications of potential errors or misinterpretations in the approaches taken, particularly regarding mole conversions and the identification of elements based on atomic mass.

Who May Find This Useful

This discussion may be useful for students studying chemistry, particularly those interested in molecular mass calculations, combustion reactions, and the determination of molecular formulas for compounds.

Analog711
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Homework Statement


"A gaseous binary compound has a vapor density that is 1.94 times that of oxygen at the same temperature and pressure. When 1.39g of the gas is burned in an excess of oxygen, 1.21 g water is formed, removing all the hydrogen originally present.

(a) Estimate the molecular mass of the gaseous compound.
(b)How many hydrogen atoms are there in a molecule of the compound?
(c) What is the maximum possible value of the atomic mass of the second element in the compound?
(d) Are other values possible for the atomic mass of the second element? Use a table of atomic masses to identify the element that best fits the data.
(e) What is the molecular formula of the compound? "

p.47 question 29 out of "Principles of Modern Chemistry" (Authored by: Oxtoby Gillis Campion).

The Attempt at a Solution


My attempt at this solution I do not believe is worth writing.

This is not work assigned from a college course, I am simply trying to study chemistry independently.

With this question, I have not been able to find an effective approach to yield a correct solution. Help provided will be greatly appreciated.
 
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(a)Use the relative Vapor density given. The answer is in front of your eyes.
 
I used the "1.94 times" information given from the problem to find the molecular mass of the compound after finding the vapor density formula on wikipedia.
(32g/mol O2/2.016g/mol H2) = 15.873
15.873*1.94 = 30.8 .
30.8 *2.016 = 62.1 g/mol (molar mass of the gaseous binary compound)

So I have completed a), but I am now unable to find out the number of H atoms.
How do I go about this?

I have found the number of g H in the gaseous binary compound : .0677 g H , but from there I do not know where to go.
 
How many moles of the compound? How many moles of hydrogen per one mole of the compound?
 
(62.1g/mol / 1.39g [binary gaseous compound] ) = 44.6 mol binary gaseous compound

1.21g H2O * (1.008g/18.016g) * (1 mol H/ 1.008g H) = 0.0672 mol H
 
Analog711 said:
(62.1g/mol / 1.39g [binary gaseous compound] ) = 44.6 mol binary gaseous compound

1.21g H2O * (1.008g/18.016g) * (1 mol H/ 1.008g H) = 0.0672 mol H

You are twice wrong. You approach from the right side, but you miss details or get it reversed.
 
Borek, correct, I have since reworked my calculations.

a) 62.1g/mol
b)
1.21g H2O * (1 mol H2O / 18.016 g H2O) * (2 mol H/ 1 mol H2O) = .134 mol H
1.39g [compound] * (1 mol [compound] / 62.1 g) = .0224 mol [compound]

.134 mol H/ .0224 mol [compound] = 5.98 , approx. 6
thus 6 hdron atoms in a molecule of this gaseous binary compound

c) 6 * 1.008 g H = 6.048
62.1-6.048=56.052

d) 56.052/2 = 28.026
Silicon fits or Nitrogen

e) thus with 6 Hydrogen atoms and 2 Silicon atoms the molecular formula is
Si2H6


I have checked with the appendix of the book and the answers are correct.


Thanks to Borek and AGNuke. Very much appreciated here.
 

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