Calculate the empirical formula of a compound that is 85.6% carbon and 14.4% hydrogen.
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Answer:
AS with all these problems, we assume (for simplicity)
100
⋅
g
of unknown compound.
And thus there are
85.7
%
×
100
⋅
g
12.011
⋅
g
⋅
m
o
l
−
1
with respect to carbon, i.e.
7.14
⋅
m
o
l
⋅
C
And
14.3
%
×
100
⋅
g
1.00794
⋅
g
⋅
m
o
l
−
1
with respect to hydrogen, i.e.
14.1
⋅
m
o
l
⋅
H
.
And thus the
empirical formula
, the simplest whole number ratio that defines constituent elements in a species is
C
H
2
.
Now the
molecular formula
is alway a whole number multiple of the
empirical formula
:
empirical formula
×
n
=
molecular formula
So
(
12.011
⋅
g
⋅
m
o
l
−
1
+
2
×
1.00794
⋅
g
⋅
m
o
l
−
1
)
×
n
=
84
⋅
g
⋅
m
o
l
−
1
.
So
n
=
6
, and
molecular formula
=
6
×
C
H
2
=
C
6
H
12
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