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7/29/2019 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¢ Composition and mpi&ical 8o&mulas
ete&mine the empi&ical fo&mula of a
compound that has the following
pe¢ composition 6y mass:< 2,+/D Mn ),++D O ,!/1 pe¢
n
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Ae¢ 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