Lecture 22 - Thermochemistry

Tuesday, April 9, 2024

9:00 AM

 

 

A theory is the more impressive the greater the simplicity of its premises is, the more different kinds of things it relates, and the more extended is its area of applicability. Therefore the deep impression which classical thermodynamics made upon me. It is the only physical theory of universal content concerning which I am convinced that within the framework of the applicability of its basic concepts, it will never be overthrown. — Albert Einstein
Class notes (1-21): https://bricejurban.github.io/CHEM101/ 
Assignments this week:
﷟HYPERLINK "https://boisestatecanvas.instructure.com/courses/28698/assignments/1016549"HW 14 Heat and Phase Changes due Monday
Take ﷟HYPERLINK "https://boisestatecanvas.instructure.com/courses/28698/modules/items/3048351"Practice Test for Midterm 4
Read Chapter 5.7, 7.7, and 7.8. If time we may start chapter 8 
Reminders:
﷟HYPERLINK "https://boisestatecanvas.instructure.com/courses/28698/assignments/967944"Midterm 4 is next Tuesday 4/16 and covers Lectures 18-23
Equilibrium, Gas Laws, Heat and Phase Changes

My CIC (EDUC 107) Hours: Friday 11AM - 1PM
Office Hours (SCNC 314 or Zoom): ﷟HYPERLINK "https://calendly.com/bricejurban/office-hours"By appointment
Today (4/4)
Phase Changes
Heat and Work
Calorimetry
Heat during Phase Transitions
Enthalpies of Reaction

Thursday (4/11)
Phase Diagrams
Acids, Bases & Titrations (if time)
Phase Changes
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Untitled picture.png 

Process
Before
Energy Change
After
Endo/exothermic
Melting Ice








Freezing Water








Heat and Work
Chemical reactions involve the transfer of energy between system and surroundings. 
The study of these energy transfers is known as Thermochemistry

The system is the chemicals in the reaction   and the surroundings is everything else (solvent, or the container, or the air).

The term heat refers to the energy transfer from a warmer object to a cooler object until the temperatures are the same.

Another form of energy transfer is work which results from the action of a force through a distance

The units of heat (q) and work (w) are joules (J) or calories (cal) and the conversion is 1 cal = 4.184 J

1 Food Calorie (1 kcal) (Cal) = 1000 calories

1 Kilojoule (kJ) = 1000 J

Energy as heat transfer (q)
Energy as work (w)
Untitled picture.png Machine generated alternative text:
q 
System 
Exothermic 
process 
Solution 
(surroundings) 
Temperature 
increased 
Solution 
(surroundings) 
q 
System 
Endothermic 
process 
q 
q 
Solution 
(surroundings) 
Temperature 
decreased 
Solution 
(surroundings) 
 

Untitled picture.png Machine generated alternative text:
Force (F) 
A = area Of 
face 
mal 
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q 
System 
Exothermic 
process 
Solution 
(surroundings) 
Temperature 
increased 
Solution 
(surroundings) 
q 
System 
Endothermic 
process 
q 
q 
Solution 
(surroundings) 
Temperature 
decreased 
Solution 
(surroundings) 
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Force (F) 
A = area Of 
face 
mal 
The piston can expand or
be compressed

By convention, energy released by a system is negative, and energy absorbed by a system is positive.
q is given a negative (-) sign when the system releases heat to the surroundings (exothermic); 
q is given a positive (+) sign when the system absorbs heat from the surroundings (endothermic).
w is given a negative (-) sign when the system does work on the surroundings (expansion); 
w is given a positive (+) sign when the surroundings does work on the system (compression).

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q < O (exothermic) 
q > O (endothermic) 
w < O (expansion) 
System 
w > O (compression) 
Surroundings 

Explain the following, describing how energy of the system changes as a result of the process

A cup of hot coffee cools as it equilibrates with the room.





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The temperature of the skin decreases when sweat evaporates.

                                                                                                                                                                                                                 




Water in a syringe boils when the volume of the syringe increases.









The Measurement of Heat Transfer (Calorimetry)

Calorimetry is the measure of heat is transferred due to: the difference in temperatures between two substances

A substances resistance to temperature changes is known as the heat capacity

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
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 The sweat requires an input of heat from the body so that sweat can transition from a liquid to a gas (vaporization). Therefore the body decreases in temperature, because this pulls heat away.
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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 

Helium
gas
5.1932
20.7862
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.
CNX_Chem_05_02_Calorim.jpg 
Untitled picture.png Machine generated alternative text:
Motorized 
stirrer 
Ignition 
wires 
Heat 
Thermometer 
Insulated 
container 
Sealed bomb 
02(g) 
Sample cup 
Water 
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System 
Surroundings 
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CNX_Chem_05_02_Calorim.jpg 
Untitled picture.png Machine generated alternative text:
Motorized 
stirrer 
Ignition 
wires 
Heat 
Thermometer 
Insulated 
container 
Sealed bomb 
02(g) 
Sample cup 
Water 
Untitled picture.png Machine generated alternative text:
System 
Surroundings 

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 equations for heat transfer are:       











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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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)



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) (pick up here on Thursday)
 
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 _____________________


Untitled picture.png Machine generated alternative text:
heat (J)


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



















Enthalpy (Heat) of Reactions
The heat given off by a chemical reaction or required for a reaction to occur at constant pressure is known as the enthalpy of reaction ΔHrxn

This energy can be measured using a calorimeter and is useful for determining how much of a substance is needed for a certain amount of heat to be delivered, or how much heat is needed to initiate a reaction. 

The ΔHrxn is typically given in terms of kJ and written to the right of a chemical reaction. 

For each of the following reactions, the enthalpy change written is that measured when the numbers of moles of reactants and products taking part in the reaction are as given by their coefficients in the equation. Calculate the enthalpy change when 1.00 gram of the underlined substance
is consumed or produced.

(a) 4 Na(s) + O2 (g) → 2 Na2O(s) ΔH = -828 kJ




(b) H2(g) + 2 CO(g) → H2O2(l) + 2 C(s) ΔH = +33.3 kJ






Phase Diagrams of Pure Substances (Plots of substances Pressure vs Temperature)
Phase Diagram for CO2 
CO2-phase.png Machine generated alternative text:
solid 
liquid 
riple point 
supercritical 
fluid 
critical point 
gas 
Given a pressure and a temperature you can find the stable phase (gas, solid, or liquid)


As pressure and temperature are varied CO2 behaves as expected:
As temperature increases you go from solid to liquid to gas
As pressure increases you go from gas to solid or gas to liquid or liquid to solid

The key to a phase diagram is the phase transition lines.  
For example, in the lower left portion of the diagram is the sublimation line that divides the solid and the gas.  
At the interface between the solid and the liquid is the melting line.  
The interface between liquid and gas is the vaporization line
 
Phase Diagram for Water (H2O)

phase-diagram-water.png Machine generated alternative text:
water 
Ice 
steam 
water vapor 
normal freezing point 
• normal boiling point 
O triple point 
D critical point 






 Note how the solid/liquid line (ice/water line) has a negative slope! 


This means that you can melt ice by applying a higher pressure. 


Most substances (like CO2 above) have a positive solid/liquid line


Phase Diagram for Carbon
Carbon-phase-diagramp.svg.png Machine generated alternative text:
Diamond 
Diamond + 
Metastable Graphite 
Graphite + 
Metastable 
Diamond 
Liquid 
Metaät* 
Liqui 
Graphite 
Vapor 
4600 ± 300 K, 10 8±0.2 MPa 



The phase diagram for carbon is more complicated because solid carbon can exist as multiple allotropes, notably, diamond and graphite.

The formation of diamond only occurs under extreme pressure conditions.
Carbon-phase-diagramp.svg.png Machine generated alternative text:
Diamond 
Diamond + 
Metastable Graphite 
Graphite + 
Metastable 
Diamond 
Liquid 
Metaät* 
Liqui 
Graphite 
Vapor 
4600 ± 300 K, 10 8±0.2 MPa 
The formation of diamond only occurs under extreme pressure conditions.

Study of this phase diagram suggests that diamonds are not forever. The most stable form at atmospheric conditions is graphite (pencil lead)

More explanation of these diagrams can be found here: ﷟HYPERLINK "https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Supplemental_Modules_%28Physical_and_Theoretical_Chemistry%29/Equilibria/Physical_Equilibria/Phase_Diagrams_for_Pure_Substances"Phase Diagrams for Pure Substances - Chemistry LibreTexts

 

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