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Assignment # 4 - Model Answer

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The American University in Cairo

School of Science and Engineering


Department of Chemistry
CHEM 1005

Assignment # 4 Thursday May 7th – Sunday May 10th Spring 2020

Please ANSWER the following five questions and SHOW your steps in details:

1- a- A sample of C7H5N3O4 contains 0.4662 moles of carbon atoms. How many nitrogen
atoms are there in the sample?
b- A sample of C7H5N3O4 has a mass of 7.81 g. What is the mass of oxygen in this sample?

Solution:

a- Moles of C7H5N3O4 = 0.4662 moles C = 0.0666 mole C7H5N3O4


7 moles C / mole C7H5N3O4
Moles of N = 0.0666 mole C7H5N3O4 x (3 moles N / mole C7H5N3O4) = 0.1998 mole N
Atoms of N = 0.1998 mole x (6.022 x 1023) atom/mole = 1.203 x 1023 N atoms

b- Moles of C7H5N3O4 = Mass of C7H5N3O4


Molar mass of C7H5N3O4
= 7.81 g = 0.04005 mol
(7x12) + (5x1) + (3x14) + (4x16) g/mol
1 mole of C7H5N3O4 contains 4 moles of O
Moles of O = 4 x 0.04005 = 0.1602 mol
Mass of O = 0.1602 mol x 16 g/mol = 2.5632 g
2- A compound used in a polymer research project contains carbon, hydrogen, and nitrogen.
The composition values are: carbon, 58.774%; hydrogen, 13.810%; nitrogen, 27.416%.
Determine the empirical formula of this compound.

Solution:

For a 100 g sample of the polymer, the % composition values represent masses of the
constituent elements.
Moles of C = 58.774 g / 12 g/mol = 4.898 mol C
Moles of H = 13.810 g / 1 g/ mol = 13.810 mol H
Moles of N = 27.416 g / 14 g/mol = 1.958 mol N
Divide all by 1.958
Moles of C = 2.5
Moles of H = 7.1 ≈ 7
Moles of N = 1
Multiply all by 2
Moles of C = 5
Moles of H = 14
Moles of N = 2
Empirical formula: C5H14N2
3- You are given the balanced chemical equation:
4AsF3 + 3C2Cl6 → 4AsCl3 + 3C2Cl2F4.
If 1.3618 moles of AsF3 are allowed to react with 0.817 moles of C2Cl6, what would be the
theoretical yield of AsCl3, in moles?

Solution:

According to the equation stoichiometry


AsF3 = 4 = 1.333
C2Cl6 3
According to the reacting amounts
1.3618 mol AsF3 = 1.667
0.817 mol C2Cl6
This means that C2Cl6 is the limiting reagent, i.e. all of its moles will be theoretically
consumed to form the products.
According to the equation stoichiometry
AsCl3 = 4 = 1.333
C2Cl6 3
Theoretical yield of AsCl3 = 1.333 x 0.817 = 1.089 mol AsCl3

4- For another run of the same reaction above the theoretical yield of C 2Cl2 F4 was calculated
to be 1.86 moles. If the percent yield in the reaction was 77.2%, how many grams of
C2Cl2F4 were actually obtained?

Solution:

% yield = Actual yield x 100%


Theoretical yield
Actual yield = 1.86 x 0.772 = 1.436 mole C2Cl2 F4
Molar mass of C2Cl2F4 = (2x12) + (2x35.5) + (4x19) = 171 g/mol
Mass obtained = 1.436 mol x 171 g/mol = 245.56 g C2Cl2F4
5- Chlorine gas can be made from the reaction of manganese dioxide with hydrochloric acid.
Which is the limiting reagent when 28 g of MnO2 are mixed with 42 g of HCl?
Show your steps into finding it out.
MnO2(s) + 4HCl(aq) → MnCl2(aq) + 2H2O(l) + Cl2(g)

Solution:

Moles of MnO2 = 28 g = 0.3218 mol


[55 + (2x16)] g/mol
Moles of HCl = 42 g = 1.1507 mol
[1 + 35.5] g/mol
According to the equation stoichiometry
HCl /MnO2 = 4/1 = 4 HCl should be 4 x MnO2
According to the reacting amounts
HCl /MnO2 = 1.1507 mol / 0.3218 mol = 3.5758 Available HCl is <4 x MnO2
HCl is the limiting reagent.

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