ITT Chng Ch 03 Mass Relationships in Chemical Reactions

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    Mass Relationships inChemical Reactions

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    By definition:

    1 atom 12C weighs 12 amu

    On this scale

    1H = 1!!" amu

    1#

    O = 1#!! amu

    Atomic massis the mass of an atom in

    atomic mass units $amu%

    Mic&o 'o&ld

    atoms ( molecules

    Mac&o 'o&ld

    g&ams

    )1

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    *atu&al lithium is:

    +,2- #.i $#!1/ amu%

    02/"- +.i $+!1# amu%

    +,2 #!1/ 02/" +!1#

    1!!= #0,1 amu

    )1

    Average atomic massof lithium:

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    34e&age atomic mass $#0,1%

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    5he mole (mol)is the amount of a su6stance that

    contains as many elementa&y entities as the&e

    a&e atoms in eactly 12!! g&ams of 12C

    )2

    1 mol = NA= #!221)#+ 1!2)

    34ogad&o7s num6e& $NA)

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    Molar massis the mass of 1 mole of in g&ams

    eggsshoes

    ma&6lesatoms

    1 mole 12C atoms = #!22 1!2)atoms = 12!! g

    1 12C atom = 12!! amu

    1 mole 12C atoms = 12!! g 12C

    1 mole lithium atoms = #0,1 g of .i

    8o& any element

    atomic mass $amu% = mola& mass $g&ams%

    )2

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    One Mole of:

    C 9

    Cu 8e

    Hg

    )2

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    1 amu = 1## 1!2, g o& 1 g = #!22 1!2)amu

    1 12C atom

    12!! amu

    12!! g

    #!22 1!2)

    12

    C atoms

    =1## 1!2,g

    1 amu

    )2

    M = mola& mass in g;mol

    NA= 34ogad&o7s num6e&

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    #!22 1!2)atoms ou ?nde&stand Molecula& Mass@

    How many H atoms a&e in +2/ g of C)H"O @

    1 mol C)H"O = $) 12% $" 1% 1# = #! g C)H"O

    1 mol H = #!22 1!2)atoms H

    /"2 1!2,atoms H

    ))

    1 mol C)H

    "O molecules = " mol H atoms

    +2/ g C)H"O1 mol C)H"O

    #! g C)H"O

    " mol H atoms

    1 mol C)H"O

    #!22 1!2)H atoms

    1 mol H atoms

    =

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    Formula massis the sum of the atomic masses

    $in amu% in a fo&mula unit of an ionic compound

    1*a 2200 amu

    1Cl )/,/ amu

    *aCl /",, amu

    8o& any ionic compound

    fo&mula mass $amu% = mola& mass $g&ams%

    1 fo&mula unit *aCl = /",, amu

    1 mole *aCl = /",, g *aCl))

    *aCl

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    o >ou ?nde&stand 8o&mula Mass@

    'hat is the fo&mula mass of Ca)$AO,%2@

    ))

    1 fo&mula unit of Ca)$AO,%2

    ) Ca ) ,!!"

    2 A 2 )!0+

    " O " 1#!!

    )1!1" amu

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    Percent compositionof an element in a compound =

    n mola& mass of elementmola& mass of compound 1!!-

    nis the num6e& of moles of the element in 1 mole

    of the compound

    C2H#O

    -C =2 $12!1 g%

    ,#!+ g 1!!- = /21,-

    -H =# $1!!" g%

    ,#!+ g 1!!- = 1)1)-

    -O =1 $1#!! g%

    ,#!+ g 1!!- = ),+)-

    /21,- 1)1)- ),+)- = 1!!!-

    )/

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    Ae&cent Composition and mpi&ical 8o&mulas

    ete&mine the empi&ical fo&mula of a

    compound that has the following

    pe&cent composition 6y mass:< 2,+/D Mn ),++D O ,!/1 pe&cent

    n

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    Ae&cent Composition and mpi&ical 8o&mulas

    < : EE 1!!#))!

    !#)20

    Mn : !#)20!#)20

    = 1!

    O : EE ,!2/)2

    !#)20

    n

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    g CO2 mol CO2 mol C g C

    g H2O mol H2O mol H g H

    g of O = g of sample F $g of C g of H%

    Com6ust 11/ g ethanol

    Collect 22! g CO2and 1)/ g H2O

    #! g C = !/ mol C

    1/ g H = 1/ mol H

    ,! g O = !2/ mol O

    mpi&ical fo&mula C!/H1/O!2/

    i4ide 6y smallest su6sc&ipt $!2/%

    mpi&ical fo&mula C2H#O

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    ) ways of &ep&esenting the &eaction of H2with O2to fo&m H2O

    3 p&ocess in which one o& mo&e su6stances is changed into one

    o& mo&e new su6stances is a chemical reaction

    3 chemical equationuses chemical sym6ols to show whathappens du&ing a chemical &eaction

    &eactants p&oducts

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    How to Read Chemical uations

    2 Mg O2 2 MgO

    2 atoms Mg 1 molecule O2maGes 2 fo&mula units MgO

    2 moles Mg 1 mole O2maGes 2 moles MgO

    ,"# g&ams Mg )2! g&ams O2maGes "!# g MgO

    IS NOT2 g&ams Mg 1 g&am O2maGes 2 g MgO

    )+

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    Balancing Chemical uations

    1 '&ite thecorrect

    fo&mula$s% fo& the &eactants onthe left side and the correctfo&mula$s% fo& the

    p&oduct$s% on the &ight side of the euation

    thane &eacts with oygen to fo&m ca&6on dioide and wate&

    C2H# O2 CO2 H2O

    2 Change the num6e&s in f&ont of the fo&mulas

    $coefficients% to maGe the num6e& of atoms ofeach element the same on 6oth sides of the

    euation o not change the su6sc&ipts

    )+

    2C2H# NOT C,H12

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    Balancing Chemical uations

    ) 9ta&t 6y 6alancing those elements that appea& inonly one &eactant and one p&oduct

    C2H# O2 CO2 H2O

    )+

    sta&t with C o& H 6ut not O

    2 ca&6on

    on left

    1 ca&6on

    on &ightmultiply CO26y 2

    C2H# O2 2CO2 H2O

    # hyd&ogen

    on left

    2 hyd&ogen

    on &ightmultiply H2O 6y )

    C2H# O2 2CO2 )H2O

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    Balancing Chemical uations

    , Balance those elements that appea& in two o&mo&e &eactants o& p&oducts

    )+

    2 oygen

    on left

    , oygen

    $22%

    C2H# O2 2CO2 )H2O

    ) oygen

    $)1%

    multiply O26y+2

    = + oygen

    on &ight

    C2

    H#

    O2

    2CO2

    )H2

    O+

    2

    &emo4e f&action

    multiply 6oth sides 6y 2

    2C2H# +O2 ,CO2 #H2O

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    Balancing Chemical uations

    / ChecG to maGe su&e that you ha4e the samenum6e& of each type of atom on 6oth sides of the

    euation

    )+

    2C2H# +O2 ,CO2 #H2O

    Reactants A&oducts, C

    12 H

    1, O

    , C

    12 H

    1, O

    , C $2 2% , C

    12 H $2 #% 12 H $# 2%

    1, O $+ 2% 1, O $, 2 #%

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    1 '&ite 6alanced chemical euation

    2 Con4e&t uantities of Gnown su6stances into moles

    ) ?se coefficients in 6alanced euation to calculate the

    num6e& of moles of the sought uantity

    , Con4e&t moles of sought uantity into desi&ed units

    3mounts of Reactants and A&oducts

    )"

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    Methanol 6u&ns in ai& acco&ding to the euation

    2CH)OH )O2 2CO2 ,H2O

    f 2!0 g of methanol a&e used up in the com6ustionDwhat mass of wate& is p&oduced@

    g&ams CH)OH moles CH)OH moles H2O g&ams H2O

    mola& massCH)OH

    coefficientschemical euation

    mola& massH2O

    2!0 g CH)OH1 mol CH)OH

    )2! g CH)OH

    , mol H2O

    2 mol CH)OH

    1"! g H2O

    1 mol H2O

    =

    2)/ g H2O

    )"

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    .imiting Reagents

    )0

    2*O 2O2 2*O2

    *O is the limiting &eagent

    O2is the ecess &eagent

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    o >ou ?nde&stand .imiting Reagents@

    n one p&ocessD 12, g of 3l a&e &eacted with #!1 g of 8e2O)23l 8e2O) 3l2O) 28e

    Calculate the mass of 3l2O)fo&med

    g 3l mol 3l mol 8e2

    O)

    needed g 8e2

    O)

    needed

    OR

    g 8e2O) mol 8e2O) mol 3l needed g 3l needed

    12, g 3l 1 mol 3l2+! g 3l

    1 mol 8e2O)2 mol 3l

    1#! g 8e2O)1 mol 8e2O)

    = )#+ g 8e2O)

    9ta&t with 12, g 3l need )#+ g 8e2O)

    Ha4e mo&e 8e2O) $#!1 g% so 3l is limiting &eagent )0

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    ?se limiting &eagent $3l% to calculate amount of p&oduct that

    can 6e fo&med

    g 3l mol 3l mol 3l2O) g 3l2O)

    12, g 3l1 mol 3l

    2+! g 3l1 mol 3l

    2

    O)

    2 mol 3l1!2 g 3l

    2

    O)

    1 mol 3l2O) = 2), g 3l2O)

    23l 8e2O) 3l2O) 28e

    )0

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    Theoretical Yieldis the amount of p&oduct that would

    &esult if all the limiting &eagent &eacted

    Actual Yieldis the amount of p&oduct actually o6tainedf&om a &eaction

    % Yield=

    3ctual >ield

    5heo&etical >ield 1!!

    )1!

    Reaction >ield

    Ch i 3 i Ch i l 8 ili

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    Chemist&y n 3ction: Chemical 8e&tiliIe&s

    Alants need: *D AD