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Experiment
7
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Formula
of a Compound I: Magnesium and Oxygen
Overview
In this experiment, you
precisely weigh a sample of magnesium metal, and then heat the
sample in the air. Magnesium metal reacts with the oxygen (O2)
of the air to form magnesium oxide. Mg + O2 ®
magnesium oxide
After the magnesium sample has reacted
completely, you determine the mass of magnesium oxide product. From
these two masses, you calculate the percentage composition of
magnesium oxide.
Calculations
Suppose the data below were recorded
for this experiment (see Page 33, Section I).
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Mass of
magnesium |
0.3397 g
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Mass of crucible,
cover, beaker |
45.7324 g
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Mass of crucible,
cover, beaker, product |
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after first
heating |
46.3105 g
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after second
heating |
46.2995 g
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after third
heating (if performed) |
46.2991 g
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Note that the experiment calls for you
to determine in a small beaker the initial mass of magnesium
metal taken. The mass of magnesium recorded for Page 33, Section I,
part (a) should be only the mass of the magnesium metal
itself (not including the mass of the beaker in which the mass
determination was made). Your answer should be between 0.3 and 0.4 g
(if you have a larger number than this, you are including the mass
of the beaker). The masses recorded on Page 33 in Section I, part
(c) include the mass of the containers (the mass of the empty
containers is recorded in Section I, part (b)). Note that all masses
should be determined to four decimal places on the electronic
balance: this results in typically 6 significant figures when the
masses of containers are included, which provides for the masses of
magnesium and magnesium oxide to be determined to four significant
figures.
Page 33 Part II
a. Mass of Product
The mass of product to be used in all
subsequent calculations is based on the final mass of the
crucible/beaker and contents (after all heatings have been
completed) minus the mass of the empty container (before the
magnesium was put into it). For the data listed above, calculate the
mass of the product, then click here to check
your answer.
b. Mass of Oxygen Reacted
Since the product of your reaction
should be pure magnesium oxide (containing magnesium and
oxygen), and the initial material taken was pure elemental
magnesium, the mass of oxygen reacted should just be the
difference in these two masses. Using the data above, calculate
the mass of oxygen reacted with the sample of magnesium taken, and
then click here to check your answer.
c. Moles of magnesium reacted
The number of moles of magnesium
reacted is based on the mass of magnesium taken and the
molar mass of magnesium (24.31 g per mole of Mg). For the data
above, calculate the number of moles of magnesium reacted, then
click here to check your answer.
d. Moles of oxygen reacted
The number of moles of oxygen atoms
contained in 0.2270 g of oxygen (calculated above) is calculated
using the atomic mass of oxygen (16.00 g per mole). Note that
oxygen atoms are found in MgO individually….not as O2
molecules. Calculate the number of moles of oxygen atoms contained
in 0.2270 g of oxygen, then click here to check
your answer.
e. Ratio of moles Mg atoms to moles O
atoms
The empirical formula represents the
smallest whole number ratio of the types of atoms in a compound.
On an experimental bases, we have found that 0.01397 moles of
magnesium has combined with 0.01419 moles of oxygen. This means that
the number of oxygen atoms that have combined per magnesium atom
is given by the ratio
f. Empirical formula (small whole
numbers)
Since we cannot have "1.016" oxygen
atoms, and since there is experimental error in any endeavor, we
round off this ratio to the whole number one. This compound
contains one oxygen atom for each magnesium atom, and
so the empirical formula is simply MgO.
g. Experimental % Mg (by mass) in
product
The percent of magnesium (by mass) is
based on the mass of magnesium taken and the mass of product which
resulted. For the data above, calculate the percent of magnesium (by
mass) determined in the experiment, then click here
to check your answer.
h. Actual formula of magnesium oxide
(based on oxidation numbers)
In the "Nomenclature Workshop" you
practiced writing the formulas for compounds, and in many cases you
were able to use the location of a given representative element in
the Periodic Table to determine the charge of the ion that the
element would form in compounds. Since magnesium is a Group 2A
element, it forms +2 ions: Mg2+. Since oxygen is a Group
6A element, it forms -2 ions: O2-. So based on these
charges, we would predict that the formula of magnesium oxide should
be MgO (one +2 ion combined with one -2 ion).
i. Theoretical % Mg by Mass
Based on the predicted formula of
magnesium oxide (part h above), we can calculate the "theoretical"
percent by mass of magnesium in magnesium oxide.
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Molar mass of MgO =
24.31 g + 16.00 g = 40.31 g |
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j. % error in percent magnesium
This compares your experimental value
for the %Mg [part (g) above] with the theoretical % Mg based on the
true formula [part (i) above]. If you did your experiment very
carefully, this number should be less than 1%. For the data above
Questions
We can't provide the answers for you,
but here are some "helpful hints".
- When the question says "elemental"
oxygen, it refers to the form in which oxygen is found in the
atmosphere.
- When the questions says "elemental"
nitrogen, it refers to the form in which nitrogen is found in the
atmosphere.
- This equation is written based on what you did in steps 7 and 8 of the procedure (what did you add
to the crucible at this point??) and the information given in the
question itself.
- With this sort of question, consider
the most extreme situation. Suppose you had three 1.000 g samples of
magnesium. Suppose you heat one sample of magnesium in pure
oxygen so that it is completely converted to magnesium oxide
(with no worries about magnesium nitride being present. What is the
% Mg in this product?? Suppose you heat another sample of magnesium
in pure nitrogen to completely convert it to magnesium
nitride. What would be the % Mg in this product?? Suppose you heat
the third sample in air which is a mixture of magnesium and
oxygen, and find that the product is mostly magnesium oxide, but is
contaminated with a small amount of magnesium nitride?? How would
the % Mg of this mixture of magnesium oxide and magnesium nitride
compare with the % Mg in pure MgO and the % Mg in pure Mg3N2??
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