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Chemistry & Chemical Reactivity
Chemistry & Chemical Reactivity
10th Edition
ISBN: 9781337399074
Author: John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher: Cengage Learning
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Chemistry & Chemical Reactivity
Chemistry & Chemical Reactivity
Solutions And Their Behavior. 91IL

Interpretation Molecular formula of the compound has to be determined. Concept introduction: Raoult’s law: In a solution, vapor pressure of solvent is proportional to its mole fraction. P s o l v e n t = X s o l v e n t P 0 s o l v e n t where, P 0 s o l v e n t is the vapor pressure of pure solvent. Mole fraction: Amount of that component divided by the total amount of all of the components of the mixture ( n A + n B + n C + ... ) . Mole fraction of A (χ A )= n A n A + n B + n C + ... The number of moles of any substance can be determined using the equation Number of mole = Given mass of the substance Molar mass

Question
Chapter 13, Problem 91IL
Interpretation Introduction

Interpretation Molecular formula of the compound has to be determined.

Concept introduction:

Raoult’s law: In a solution, vapor pressure of solvent is proportional to its mole fraction.

  Psolvent=XsolventP0solvent

  where,

  P0solvent is the vapor pressure of pure solvent.

Mole fraction: Amount of that component divided by the total amount of all of the components of the mixture ( nA +  nB +  n...).

  Mole fraction of A (χA)= nA nA +  nB +  n...

The number of moles of any substance can be determined using the equation

  Numberofmole=GivenmassofthesubstanceMolarmass

Expert Solution & Answer

Answer to Problem 91IL

Molecular formula of the compound is C7H6N2

Explanation of Solution

Molecular formula of the compound is calculated.

Given,

  Molar mass of carbon is 12.01g/mol

  Molar mass of hydrogen is 1.01g/mol

  Molar mass of nitrogen is 14.01g/mol

  Vapour pressure of benzene at 250C is Pbenzene=94.16mmHg

  Vapour pressure of pure benzene is P0benzene=95.26mmHg

  Mass of the compound is 0.177g

  Mass of benzene is 10.0g

  Molar mass of benzene is 78.11g/mol

The number of moles of any substance can be determined using the equation

  Numberofmole=GivenmassofthesubstanceMolarmass

  Number of molesofbenzene=10g78.11g/mol=0.128mol

Number of moles of benzene is 0.128mol

Vapour pressure of benzene is calculated by the given equation

  Pbenzene=XbenzeneP0benzene

Mole fraction of benzene is,

  Xbenzene=PbenzeneP0benzene=94.16mmHg95.26mmHg=0.988

Hence,

Xbenzene=nbenzenenbenzene+ncompound0.988=0.128mol0.128mol+ncompound0.12650.128mol+(0.988)ncompound=0.128molncompound=1.518×103mol

Number of moles of the compound is 1.518×103mol

Hence,

The molar mass of compound is,

  Molarmass=0.177g1.518×10-3mol=116.6g/mol

  MassofC=71.17100×100g=71.17gMassofH=5.12100×100g=5.12gMassofH=23.71100×100g=23.71g

  Number of molesofC=71.17g12.01g/mol=5.9mol

Number of moles of carbon is 5.9mol

  Number of molesofH=5.12g1.01g/mol=5.07mol

Number of moles of hydrogen is 5.9mol

  Number of molesofN=23.71g14.01g/mol=1.69mol

Empirical formula of the compound was determined.

  C:H:N5.91.69:5.071.69:1.691.693.5:3:17:6:2

Therefore,

The empirical formula of the compound is C7H6N2

Molecular mass of C7H6N2 is 118.14g/mol

The molar mass of a molecule is a simple multiple of the molar mass of its empirical formula. Hence,

  n=molarmassofcompoundmolarmassofitsempiricalformula=116.6g/mol118.14g/mol=0.981

Therefore,

Molecular formula of the compound is C7H6N2

Conclusion

Molecular formula of the compound is C7H6N2

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Chemistry & Chemical Reactivity
Chemistry & Chemical Reactivity
10th Edition
ISBN: 9781337399074
Author: John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher: Cengage Learning
Not helpful? See similar books
Chemistry & Chemical Reactivity
Chemistry & Chemical Reactivity
Solutions And Their Behavior. 91IL
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Chapter 13 Solutions

Chemistry & Chemical Reactivity
Ch. 13.5 - Prob. 1.1ACPCh. 13.5 - Prob. 1.2ACPCh. 13.5 - Prob. 1.3ACPCh. 13.5 - Prob. 1.4ACPCh. 13.5 - Prob. 2.1ACPCh. 13.5 - Prob. 2.2ACPCh. 13.5 - Prob. 2.3ACPCh. 13.5 - Prob. 2.4ACPCh. 13.5 - Prob. 3.1ACPCh. 13.5 - Prob. 3.2ACPCh. 13.5 - Prob. 3.3ACPCh. 13 - Prob. 1PSCh. 13 - Prob. 2PSCh. 13 - Prob. 3PSCh. 13 - Prob. 4PSCh. 13 - Prob. 5PSCh. 13 - Prob. 6PSCh. 13 - Prob. 7PSCh. 13 - Prob. 8PSCh. 13 - Prob. 9PSCh. 13 - Prob. 10PSCh. 13 - Prob. 11PSCh. 13 - Prob. 12PSCh. 13 - Prob. 13PSCh. 13 - Prob. 14PSCh. 13 - Prob. 15PSCh. 13 - Prob. 16PSCh. 13 - Prob. 17PSCh. 13 - Prob. 18PSCh. 13 - Prob. 19PSCh. 13 - Prob. 20PSCh. 13 - Prob. 21PSCh. 13 - Prob. 22PSCh. 13 - Prob. 23PSCh. 13 - Prob. 24PSCh. 13 - Prob. 25PSCh. 13 - Prob. 26PSCh. 13 - Prob. 27PSCh. 13 - Prob. 28PSCh. 13 - Prob. 29PSCh. 13 - Prob. 30PSCh. 13 - Prob. 31PSCh. 13 - Prob. 32PSCh. 13 - Prob. 33PSCh. 13 - Prob. 34PSCh. 13 - Prob. 35PSCh. 13 - Prob. 36PSCh. 13 - Prob. 37PSCh. 13 - Prob. 38PSCh. 13 - Prob. 39PSCh. 13 - Prob. 40PSCh. 13 - Prob. 41PSCh. 13 - Prob. 42PSCh. 13 - Prob. 43PSCh. 13 - Prob. 44PSCh. 13 - Prob. 45PSCh. 13 - Prob. 46PSCh. 13 - Prob. 47PSCh. 13 - Prob. 48PSCh. 13 - Prob. 49PSCh. 13 - Prob. 50PSCh. 13 - Prob. 51PSCh. 13 - Prob. 52PSCh. 13 - Prob. 53GQCh. 13 - Prob. 54GQCh. 13 - Prob. 55GQCh. 13 - Prob. 56GQCh. 13 - Prob. 57GQCh. 13 - Prob. 58GQCh. 13 - Prob. 59GQCh. 13 - Prob. 60GQCh. 13 - Prob. 61GQCh. 13 - Prob. 62GQCh. 13 - Prob. 63GQCh. 13 - Prob. 64GQCh. 13 - Prob. 65GQCh. 13 - Prob. 66GQCh. 13 - Prob. 67GQCh. 13 - Prob. 68GQCh. 13 - Prob. 69GQCh. 13 - Prob. 70GQCh. 13 - Prob. 71GQCh. 13 - Prob. 72GQCh. 13 - Prob. 73GQCh. 13 - Prob. 74GQCh. 13 - Prob. 75GQCh. 13 - Prob. 76GQCh. 13 - Prob. 77GQCh. 13 - Prob. 78GQCh. 13 - Prob. 79GQCh. 13 - Prob. 80GQCh. 13 - Prob. 81GQCh. 13 - Prob. 82GQCh. 13 - Prob. 85GQCh. 13 - Prob. 86GQCh. 13 - Prob. 87ILCh. 13 - Prob. 88ILCh. 13 - Prob. 89ILCh. 13 - Prob. 90ILCh. 13 - Prob. 91ILCh. 13 - Prob. 92ILCh. 13 - Prob. 93SCQCh. 13 - Prob. 94SCQCh. 13 - Prob. 95SCQCh. 13 - Prob. 96SCQCh. 13 - Prob. 97SCQCh. 13 - Prob. 98SCQCh. 13 - Prob. 99SCQCh. 13 - Prob. 100SCQCh. 13 - Prob. 101SCQCh. 13 - Prob. 102SCQCh. 13 - Prob. 104SCQCh. 13 - Prob. 105SCQCh. 13 - Prob. 106SCQCh. 13 - Prob. 107SCQ
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