Lecture 23 - Thermochemistry II

Thursday, April 11, 2024

1:30 PM

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Please complete this questionnaire to reflect on ﷟HYPERLINK "https://boisestatecanvas.instructure.com/courses/28699/quizzes/249663"Chemistry Attitudes and Experiences (End of Semester)
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Assignments this week:
﷟HYPERLINK "https://boisestatecanvas.instructure.com/courses/28699/assignments/1017881"HW 12 Thermochemistry due next Wednesday
Complete Practice Exam. To be posted tonight or tomorrow
Read Chapter 14
Reminders:
Midterm 4 is next Thursday

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Today (4/11)
Standard Molar Enthalpies of Formation
Average Molar Bond Enthalpies
Calorimetry

Next Tuesday (4/16)
Heating Curves
Intermolecular Forces
Phase Diagrams
Crystals (?)
The End of CHEM 111 Content?
Molar Enthalpies of Formation
The molar enthalpy of formation ΔH°f of a substance is the reaction that forms one mole of that compound from its standard elements.

2 C(s) + H2(g) → C2H2(g) 

Mg(s) + C(s) + 3/2 O2(g) → MgCO3(s)

5 C(s) + 11/2 H2(g) + ½N2(g) + O2(g) → C5H11NO2(g)
ΔH°f  = +227.4 kJ

ΔH°f  = –1095.8 kJ

ΔH°f  = –455.1 kJ

etc.

Actually carrying out these reactions from the elements is usually impossible, or nearly so, so these values must be determined by careful experimentation usually involving multiple reactions and then making use of Hess's Law.

For example, if we want to find the molar enthalpy of formation ΔH°f  of acetylene gas (C2H2), we can get a pure sample of acetylene and measure the heat of combustion (or look this value up in a table):

C2H2(g) + 5/2O2(g) → 2CO2(g) + H2O(l)  ΔH°rxn  = –1300 kJ

This then gives us two simpler molecules which we can easily find in the tabulated molar enthalpies of formation ΔH°f
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This then gives us two simpler molecules which we can easily find in the tabulated molar enthalpies of formation ΔH°f

C(s) + O2(g) → CO2(g)            ΔH°f  = –393.5 kJ

H2(g) + ½O2(g) → H2O(l)       ΔH°rxn = –285.8 kJ

*Note that heats of combustions give water as a liquid, not as a gas.

Method 1: Use Hess's Law














Method 2: Use Molar Enthalpies of Formation
ΔH°rxn = nΔH°f [products] - nΔH°f [reactants]







I passed out an ﷟HYPERLINK "https://boisestatecanvas.instructure.com/courses/28699/modules/items/3050437"reference table that should have most of the values needed to calculate the following. However here are some other references that might be of interest:

Calculate the value of ΔH°rxn using ΔH°f values 
then determine whether each reaction is endothermic or exothermic.
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then determine whether each reaction is endothermic or exothermic.
H2(g) + F2(g) → 2HF(g)
3H2(g) + N2(g) → 2 NH3(g)
 












2CO(g) + O2(g) → 2CO2(g)
2 NO(g) + O2(g) → 2NO2(g)
 
pro-nzlI9kta.jpeg 
pro-L0ekgxgw.jpeg 

Bond Enthalpies
Untitled picture.png Machine generated alternative text:
Energy 
absorbed 
o 
o 
o 
Ato ms 
Energy as heat 
released 
o 
Step 2 
bond formation 
tep 1 
bond breaking 
Reactants 
Products 
 
Untitled picture.png Machine generated alternative text:
energy required 
to break all the 
AHO 
bonds in the 
reactant molecules 
energy evolved as heat 
upon the formation 
of all the bonds in the 
product molecules 
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Untitled picture.png Machine generated alternative text:
energy required 
to break all the 
AHO 
bonds in the 
reactant molecules 
energy evolved as heat 
upon the formation 
of all the bonds in the 
product molecules 

Untitled picture.png 

Untitled picture.png Machine generated alternative text:
B Ond 
O-H 
0-0 
NT-H 
c-o 
c-o 
NEN 
c-c 
CI-CI 
Br-Br 
C-F 
c-CI 
H-CI 
C-Br 
H-Br 
C-N 
Molar bond enthalpy, 
Hw/kJ.m01-l 
464 
142 
351 
502 
730 
347 
615 
811 
414 
439 
331 
276 
293 
615 
Bond 
CEN 
H-S 
Molar bond enthalpy, 
Hw/kJ .mol-l 
890 
390 
159 
418 
945 
155 
243 
192 
435 
565 
431 
368 
364 

The enthalpy change for the equation ClF3(g) → Cl(g) + 3 F(g) is 523 kJ·mol–1. 
Calculate the average molar bond enthalpy of a chlorine-fluorine bond in a ClF3 molecule.
 





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Use the molar bond enthalpy data to estimate the value of ΔH°rxn for the equation:
CCl4(g) + 2 F2(g) → CF4(g) + 2 Cl2(g)
 
















Calculate the average molar bond enthalpy of a carbon–hydrogen bond in a CH4 molecule. Given that
ΔH°f[H(g)] = 218.0 kJ·mol−1
ΔH°f[C(g)] = 716.7 kJ·mol−1
ΔH°f[CH4(g)] = −74.6 kJ·mol−1
 Why is there a slight difference between this value and the molar bond enthalpy of a carbon–hydrogen bond listed in Table 14.5
 












Ammonia reacts with oxygen to form nitrogen dioxide and steam, as follows:
4NH3(g) + 7O2(g) ---> 4NO2(g) + 6H2O(g)    ΔH°rxn  = –1135 kJ

Determine the bond energy of the N−O bond of NO2
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Determine the bond energy of the N−O bond of NO2
pro-gm70r8hp.jpeg 






Determine the enthalpy for the following reaction:
C(s) + CO2(g) ---> 2CO(g)

The enthalpy of sublimation of graphite, C(s) is 719 kJ/mol









 
Determine the enthalpy of combustion of propane (C3H8) using bond enthalpies. Then compare it with the combustion value listed in the reference above.  








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The Measurement of Heat Transfer (Calorimetry)

Calorimetry is the measure of heat is transferred due to: _________________________________________________________

A substances resistance to temperature changes is known as the ____________________ 

When heat capacity has the units ____________ it is referred to as _____________

When heat capacity has the units ____________ it is referred to as _____________.
Untitled picture.png Machine generated alternative text:
copper block 
specific heat 
of copper 
aluminum block 
specific heat 
Of aluminum 
water 
specific heat 
Of water 
Specific Heat Capacity - 
warms up and cools down quickly 
as takes much less energy to 
change its temparature 
Specific Heat Capacity - 
warms up and cools down slowly 
as it takes up much more energy 
to change its temperature 
Substance
Phase
Specific heat capacity, cP
J⋅g−1⋅K−1
Molar heat capacity, CP,m 
J⋅mol−1⋅K−1
Air (typical room conditions)
gas
1.012
29.19
Argon
gas
0.5203
20.7862
Carbon dioxide CO2
gas
0.839
36.94
Helium
gas
5.1932
20.7862
Hydrogen
gas
14.30
28.82
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Untitled picture.png Machine generated alternative text:
copper block 
specific heat 
of copper 
aluminum block 
specific heat 
Of aluminum 
water 
specific heat 
Of water 
Specific Heat Capacity - 
warms up and cools down quickly 
as takes much less energy to 
change its temparature 
Specific Heat Capacity - 
warms up and cools down slowly 
as it takes up much more energy 
to change its temperature 

Hydrogen
gas
14.30
28.82
Hydrogen sulfide H2S
gas
1.015
34.60
Methane CH4 at 2 °C
gas
2.191
35.69
Nitrogen
gas
1.040
29.12
Neon
gas
1.0301
20.7862
Oxygen
gas
0.918
29.38
Water at 100 °C (steam)
gas
2.03
36.5
Ammonia NH3
 liquid
4.700
80.08
Ethanol C2H5OH
liquid
2.44
112
Water at 25 °C
liquid
4.1816
75.34
Aluminium
solid
0.897
24.2
Copper
solid
0.385
24.47
Glass
solid
0.84

Gold
solid
0.129
25.42
Iron
solid
0.449
25.09
Lead
solid
0.129
26.4
Paraffin wax C25H52
solid
2.5 (avg)
900
Silver
solid
0.233
24.9
Steel
solid
0.466

Uranium
solid
0.116
27.7
Water at −10 °C (ice) 
solid
2.05
38.09

A calorimeter is used to measure the heat of chemical reactions, physical changes and heat capacity

Constant pressure calorimeters
measure the change in heat of a 
reaction occurring in solution.

The heat transfer at 
constant pressure qp is known
as the enthalpy change ΔH. 
Constant volume (bomb) calorimeters
resists change in volume and are used to
measures the change in heat of 
combustion reactions.  

The heat transfer at constant volume qv
is known as the internal energy change ΔU.
A calorimeter can also measure the 
specific heat capacity (c) of a substance at
 constant pressure cP or at constant volume cV.  

For instance a hot metal (M) transfers heat (q)
to the cool water bath (W) until both are 
at equilibrium. The change in temperature
can be measured to find c.
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If  Beaker A contains 50.0 g of water (cp = 4.18 J/g·°C) and Beaker B contains 50.0 g of acetone (cP = 2.15 J/g·°C), both at the same temperature. If both beakers are heated with the same amount of energy, which liquid will have the higher final temperature?





The equation for heat transfer is:       








How much energy is released when 20.0 g of water is cooled from 50°C to 30°C? (cP, water = 4.18 J/g·°C)





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When a 50.0 g block of copper was heated with 1046 J of energy, the temperature increased from 10.0°C to 64.3°C. What is the specific heat of copper?








What is the final temperature when a 90.0 g of aluminum at 20°C releases 500 J of energy? (cP,Al = 0.897 J/g·°C)







A 31.1 g wafer of pure gold (cP, Au = 0.129 J/g·°C) initially at 69.3 °C is submerged into 64.2 g of water (cP, water = 4.18 J/g·°C) at 27.8 °C in an insulated container. What is the final temperature of both substances?













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Heat transfer during Phase Transitions (Heating and Cooling Curves) (Next Tuesday)
 
During the process of melting energy is needed to change a substance from ___________ to ____________

At constant pressure this is known as the __________ of _________ (ΔHfus) and is typically given in kJ/mol 

The opposite process is known as ______________________ and the energy change is equivalent to __________


A related process that requires much more energy is the enthalpy of vaporization (__________ to ________)  (ΔHvap)

The opposite process is known as ______________________ and the energy change is equivalent to __________


These are latent heat processes meaning the phase change occur at constant temperature

Substance
Molar Heat of fusion
(kJ/mol)
Melting point
(°C)
Molar Heat of vaporization
(kJ/mol)
Boiling point
(°C)
Ammonia (NH3)
5.6572
−77.74
23.32
−33.34
Carbon dioxide (CO2)
8.10
−78
25.3
-78.46
Hydrogen
0.12
−259
0.917
−253
Lead
4.8
327.5
180
1750
Methane (CH4)
0.95
−182.6
8.20
−161.6
Nitrogen
0.720
−210
5.60
−196
Oxygen
0.445
−219
6.82
−183
Water
6.02
0
40.80
100

How much energy is required to melt 20.0 g of lead at -259 °C?




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How much heat is released by the condensation of 2.88 mols of oxygen at -183 °C?






When studying the energy required to transition between phases, it is useful to plot the temperature versus energy. 

When energy is absorbed by the system this is known as a ____________________ 

and when it is released by the system it is a _____________________


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heat (J)


Find the energy required for 20.0 g of ice at -10 °C to change to steam at 130 °C.

 

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