Calculate the no of molecule present in 4 g molecule of co2?
Answers
The first thing you need to do here is to figure out the mass of oxygen in
1
mole of carbon dioxide. To do that, you must use the compound's molar mass.
Now, carbon dioxide has a molar mass of
44.01 g mol
−
1
. This means that
1
mole of carbon dioxide has a mass of
44.01 g
.
You know that
1
mole of carbon dioxide contains
one mole of carbon,
1
×
C
two moles of oxygen,
2
×
O
Oxygen has a molar mass of
16.0 g mol
−
1
, so
1
mole of oxygen atoms has a mass of
16.0 g
.
This means that if you take
44.01 g
of carbon dioxide, you know for a fact that it will contain
2
moles O
⋅
16.0 g
1
mole O
=
32.0 g O
This means that
100 g
of carbon dioxide will contain
100
g CO
2
⋅
32.0 g O
44.01
g CO
2
=
72.7 g O
Therefore, carbon dioxide has a percent composition of
72.7
%
oxygen, i.e. for every
100 g
of carbon dioxide you get
72.7 g
of oxygen.
Now, you must determine the mass of oxygen present in a single molecule of carbon dioxide. Start by figuring out the mass of a single molecule of carbon dioxide.
To do that, use Avogadro's constant, which tells you that
1 mole CO
2
=
6.022
⋅
10
23
molecules CO
2
−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−
So, you know what
1 mole CO
2
=
44.01 g
=
6.022
⋅
10
23
molecules CO
2
which means that
1
molecule of carbon dioxide has a mass of
1
molecule CO
2
⋅
44.01 g
6.022
⋅
10
23
molecules CO
2
=
7.31
⋅
10
−
23
g
Now you can use the percent composition of carbon dioxide to find the mass of oxygen present in
1
molecule
7.31
⋅
10
−
23
g CO
2
⋅
72.7 g O
100
g CO
2
=
5.3
⋅
10
−
23
g O
−−−−−−−−−−−−
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