CHM 1045
Fall 1999
Dr. Michael Blaber
Name_________________________SS #__________________________
Homework #3
(Due in Recitation Tues Sep 21)
2C5H12O + 15O2 -> 10CO2 + 12H2O
C 10 C 10
H 24 H 24
O 32 O 32
Group 1A, alkali metals, or Li, Na, Rb, Cs, and Fr
Formula weight: (12*12.0)+(22*1.01)+(11*16.0) = 144+22.2+176.0 = 342amu
%C = 144/342 = .421=42.1%
%H = 22.2/342 = .0650=6.50%
%O = 176/342 = 0.515=51.5%
The formula for Lithium Oxide would be Li2O
Therefore the formula weight is (2*6.94) + 16.0 = 29.9 g/mole
so:
3.80 moles * (29.9 g/mole) = 114 g
The formula for Aluminum Sulfide would be Al2S3
Therefore the formula weight is (2*27.0) + (3*32.1) = 150 g/mole
100 g * (1 mole/150 g) = 0.667 moles
Choosing 100g as a convenient mass, we would have 40.0g of C, 6.72g H and 53.3g of O
40.0 g C * (1 mole/12.0g) = 3.33 moles C
6.72 g H * (1 mole/1.01g) = 6.65 moles H
53.3 g O * (1 mole/16.0g) = 3.33 moles O
Calculating the relative stoichiometry by dividing by the smallest:
(6.65/3.33) = 2.00 moles H, and 1.0 mole each for C and O
This yields an empirical formula of CH2O
This would have an atomic mass of (12.0 + 2.02 + 16.0) = 30 amu
The actual molecular mass is 180 amu, or (180/30) = 6.0 times that of the empirical formula. Therefore, the chemical formula must be: C6H12O6
The balanced equation for the combustion would be:
C2H6O + 3O2 -> 2CO2 + 3H2O
Thus, for one mole of ethanol combusted, the stoichiometric relationship is such that two moles of CO2 and three moles of H2O will be produced.
From the chemical formula ethanol has a molecular mass of 46.1 g/mole
25.0g * (1 mole/46.1g) = 0.542 moles ethanol
The stoichiometric relationships therefore are:
0.542 moles ethanol * (2 moles CO2 / 1 mole ethanol) = 1.08 moles CO2
0.542 moles ethanol * (3 moles H2O / 1 mole ethanol) = 1.63 moles H2O
The masses of CO2 and H2O produced are therefore:
1.08 moles CO2 * (44.0 g/mole) = 47.5 g CO2
1.63 moles H2O * (18.0 g/mole) = 29.3 g H2O
20.0 g ethanol * (1 mole/46.1 g) = 0.434 moles ethanol
20.0 g O2 * (1 mole/32g) = 0.625 moles O2
The amount of O2 required to react completely with the given amount of ethanol:
0.434 moles ethanol * (3 moles O2 / 1 mole ethanol) = 1.30 moles O2
The amount of ethanol required to react completely with the given amount of O2:
0.625 moles O2 * (1 mole ethanol / 3 moles O2) = 0.104 moles ethanol
Therefore, the limiting reagent is the O2
With the given amount of O2 we can make:
0.625 moles O2 * (2 moles CO2/3 moles O2) = 0.417 moles CO2
0.417 moles CO2 * (44 g/mole) = 18.3 g CO2
5.7 g LiOH * (1 mole/23.9 grams) = 0.238 moles LiOH
0.238 moles / 0.0238 liters = 10.0 moles / liter (i.e. 10.0 M)
(0.5 liters) * (0.5 moles/liter) = (x liters) * (8.5 moles/liter)
x = 0.0294 liters of the 8.5M stock solution
Therefore, you would combine 0.0294 liters (29.4 mls) of the 8.5M stock solution with (0.5L – 0.0294L) = 0.471 liters of pure water