Lecture 22 - Thermodynamic Processes and Thermochemistry

Tuesday, April 9, 2024

1:30 PM

A useful Thermochemistry reference is available at the back of the class and here: https://boisestatecanvas.instructure.com/courses/28699/modules/items/3050437
Class notes (1-21): https://bricejurban.github.io/CHEM111/ 
Assignments this week:
﷟HYPERLINK "https://boisestatecanvas.instructure.com/courses/28699/assignments/1014185"HW 12 Chemistry of Gases due Wednesday
HW 13 Thermochemistry due next Tuesday (will be posted after class)
Complete Practice Exam. To be posted Thursday
Read Chapter 14
Reminders:
Midterm 4 is next Thursday

My CIC (EDUC 107) Hours: Friday 11AM - 1PM
Office Hours (SCNC 314 or Zoom): ﷟HYPERLINK "https://calendly.com/bricejurban/office-hours"By appointment
Today (4/9)
Systems, Surroundings, Work & Heat
Enthalpy (H) and Internal Energy (U)
Enthalpy of Reactions
Hess's Law & Standard Molar Enthalpies of Formation
Thursday (4/11)
Molar Bond Enthalpies
Calorimetry
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, container, or the air

The term heat refers to the thermal energy transfer from a hot object to a cooler object until the temperature are the same.

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

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

1 food calorie (Cal) = 1000 calories = 1 kcal

The first law of thermodynamics is _____________________________

Heat and work depend on the _________ and are not ____________, however, there sum is a ________________

In any process the heat _______ to the system is _________ from the surroundings, thus ___________________

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Additionally it is true, the work done ____ the system is done by the surroundings, thus ____________

In a __________________________ the energy changes of system and surroundings are equal in __________ and opposite in sign. 

Thus the total energy of the system + surroundings is  __________!!!

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 
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).
Untitled picture.png Machine generated alternative text:
q < O (exothermic) 
q > O (endothermic) 
w < O (expansion) 
System 
w > O (compression) 
Surroundings 
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Untitled picture.png Machine generated alternative text:
q < O (exothermic) 
q > O (endothermic) 
w < O (expansion) 
System 
w > O (compression) 
Surroundings 
Pressure-Volume work
Work is equal to a force applied over a distance w = FΔd

Let's recall the equation for gravitational potential energy which is ΔEp = mgΔh
This is a form of mechanical work, telling us how much energy we need to lift an object a certain height to counteract the force of gravity.

An important form of mechanical energy in chemistry is pressure-volume work which results which a system is compressed or expanded under the influence of an outside pressure. 

Imagine a gas has a pressure Pi which is confined in a cylinder with cross-sectional area A.
The force exerted on the outside face of the piston is Fext = PextA (because Pressure is defined as Force over Area)
The work done by the gas in the piston is then equivalent to: w = –PextAΔh 
Since volume of a cylinder is Area times height  ---->            w = –PextΔV

Pressure
Volume
Energy
pascals (Pa)
cubic meters (m3)
joules (J)
atmospheres (atm)
liters (L)
liter-atmospheres (L•atm)
1 L•atm = 101.325 J

If 2.00 L of a gas at 1 atm under 1 atm of external pressure is slowly heated under constant pressure until the final volume is 3.50 L, what is the work done by the gas in Joules?








Enthalpy (H)
 
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Energy transferred as heat as discussed above is not a state function, meaning depending on how we carry out a process it can give us different values. However, when we carry out reactions at constant pressure the heat change is a state function and is defined as the enthalpy 
Enthalpy is defined theoretically as
H = U + PV
For a chemical reaction at constant pressure this is:
ΔH = ΔU + PΔV
When we substitute in the first Law of Thermodynamics
(the subscripts mean constant pressure)
ΔU = qp + wp
 
ΔH = qp + wp + PΔV
Then substitute in the equation for pressure-volume work
 wp = –PΔV
ΔH = qp + –PΔV + PΔV
we result in
ΔH = qp

The energy involved or absorbed as heat at constant pressure is the enthalpy and this is a state function meaning these values are repeatable and only dependent on the chemical reaction involved not on the process.


Let's look at the enthalpy change ΔHrxn for a few reactions. ΔHrxn is typically given in terms of kJ and written to the right of a chemical reaction. For each of the following, 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. 

Let's 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)   ΔHrxn = -828 kJ





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





What would the value of  ΔHrxn of reaction (a) written as:
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What would the value of  ΔHrxn of reaction (a) written as:

(c) 2 Na(s) + ½O2 (g) →  Na2O(s)   ΔHrxn = ???


Now what about written as:

(d) Na2O(s) → 2 Na(s) + ½O2 (g)   ΔHrxn = ???



Note that you will often see ΔHrxn written in units of kJ • mol-1 and the same calculations apply.


Concept check
Consider a gas cylinder containing 0.250 moles of an ideal gas in a volume of 6.00 L with a pressure of 1.00 atm. The cylinder is surrounded by a constant temperature bath at 292.0 K. With an external pressure of 3.00 atm, the cylinder is compressed to 2.00 L. Calculate the q(gas) for this compression process, in J.










Standard States (More terms!)
 
When enthalpy change is written with the degree symbol (°) this means the reaction is under standard conditions 

ΔH°rxn is pronounced  "standard enthalpy change of the reaction" or "delta H naught" for short.

Standard state of a solute is 1 M
Standard temperature is 25 °C (unless otherwise specifed)
Standard pressure is 1 bar (unless otherwise specified)

This is needed because ΔHrxn can change under different conditions. 

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Some other common symbols are the following:

Standard enthalpy of combustion  ΔH°comb
Standard molar enthalpy of formation  ΔH°f
These are reactions where one mole of a product is formed from its simplest elements








Enthalpy (Heat) of Fusion  ΔHfus
Fusion refers to the melting of a solid to a liquid.
Note phase transitions occur at constant temperature and sometimes called "latent heat"
Enthalpy (Heat) of Vaporization ΔHvap
Vaporization refers to the phase transition from a liquid to a gas
Hess's Laws
 
Enthalpy is a state function, so enthalpy changes are additive. Thus if we have two chemical reactions that are in tandem, we can find the overall reaction enthalpy change simply by summing them. 

Additionally we saw above that the enthalpy change of a reverse reaction is simply the reverse of the forward enthalpy.

Lastly, we also saw above that when we multiply or divide the coefficients by a factor, we must do the same to the enthalpy change.

This is summarized in the three laws of Germain Hess published in 1840.

Untitled picture.png Operation 
Addition of two or more chemical equations 
Multiplication of a chemical equation by a factor of n 
Reversing a chemical equation 
Result 
AHOrxn(1 + 2) = AHOrxn(1) + AHOrxn(2) 
nAHOrxn(1) 
Al-IOrxn (reverse) —Al-IOrxn (forward) 
 
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The best way to practice this is to jump into a few problem

Untitled picture.png 14-20. Use the values of AH0m given for the equations 
-220.1 kJ.mol- 
2Cu(s) + C12(g) 2CuCl(s) 
-137.2 kJ.mol- 
to calculate the value of AHO n for the equation 
CuC12(s) + cu(s) 2cuC1(s) 


Untitled picture.png Example #2: Calculate the enthalpy of the following chemical reaction: 
CS2(C) + 302(g) C02(g) + 2S02(g) 
C(s) + 2S(s) CS2(C) AH 
wen: 
C(s) + 02(g) - 
S(s) + 02(g) 
C02(g) AH 
S02(g) AH 
-393.5 W mol 
-296.8 W mol 
= +87.9 kJ mol 











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Untitled picture.png Machine generated alternative text:
Example #3: Using only the equations below, calculate the molar heat of formation of nitrous acid HN02(aq). 













Untitled picture.png Machine generated alternative text:
NH4N02(aq) N2(g) + 2H20(C) 
NH3(aq) + HN02(aq) NH4N02(aq) 
2NH3(aq) N2(g) + 3H2(g) 
2H2(g) + 02(g) 2H20(C) 
AHO - -320.1 kJ 
AHO = -37.7 kJ 
AHO = +169.9 W 
AHO - -571.6 W 








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Molar Enthalpies of Formation (theory to explain last problem)

The Value of ΔH°rxn can be calculated from tabulated molar enthalpies of formation ΔH°f

Since most compounds cannot be formed directly from their elements we can make use of these tabulated values and Hess's Law

The example given in the book is: 2 C(s) + H2(g) → C2H2(g)

Untitled picture.png 300 
200 
100 
C(s) + 02(g) 
-100 
-200 
-300 
C2H2(g) 
(+227.4 kJ•m01-l 
Figure 14. I I Enthalpy changes 
involved in the formation of C02 (g) , 
H20(/), and C2H2(g) from their 
elements at 250C, 1 bar. Note that 
(a) C02(g) lies 393.5 kJ•mol-1 (on 
the enthalpy scale) below its 
constituent elements; (b) H20(l) 
lies 285.8 M •mol-I below its 
2(g) + +02(g) 
H20(/) 
(-285.8 a-mol-I) 
(b) 
2C(s) + H2(g) 
constituent elements; and 
(c) C2H2(g) lies 227.4 kJ.m01-l 
above its constituent elements. 
C02(g) 
(-393.5 kJ.m0Fl) 
(a) 
c (s) + 02 (g) 
(1) 
(2) 
(3) 
H2(g) +2 02(g) H20(1) 
C2H2(g) + 02(g) 2C02(g) + H20(1) 
AHOm(1) = -393.5 kJ.m01-l 
AHOm(2) = -285.8 kJ.moFl 
AHOm(3) = -1300.2 kJ.mol- 
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Untitled picture.png 300 
200 
100 
C(s) + 02(g) 
-100 
-200 
-300 
C2H2(g) 
(+227.4 kJ•m01-l 
Figure 14. I I Enthalpy changes 
involved in the formation of C02 (g) , 
H20(/), and C2H2(g) from their 
elements at 250C, 1 bar. Note that 
(a) C02(g) lies 393.5 kJ•mol-1 (on 
the enthalpy scale) below its 
constituent elements; (b) H20(l) 
lies 285.8 M •mol-I below its 
2(g) + +02(g) 
H20(/) 
(-285.8 a-mol-I) 
(b) 
2C(s) + H2(g) 
constituent elements; and 
(c) C2H2(g) lies 227.4 kJ.m01-l 
above its constituent elements. 
C02(g) 
(-393.5 kJ.m0Fl) 
(a) 
c (s) + 02 (g) 
(1) 
(2) 
(3) 
H2(g) +2 02(g) H20(1) 
C2H2(g) + 02(g) 2C02(g) + H20(1) 
AHOm(1) = -393.5 kJ.m01-l 
AHOm(2) = -285.8 kJ.moFl 
AHOm(3) = -1300.2 kJ.mol- 


I passed out an reference table that should have most of the values needed to calculate the following:

Untitled picture.png 14-35. Using Table 14.3, calculate the values of 
for 
(a) H2(g) +F2(g) 2HF(g) 
(b) 2CO(g) + 02(g) 2C02(g) 
(c) 3H2(g) + N2(g) * 2NHg(g) 
(d) 2NO(g) + 02(g) 2N02(g) 
State whether each reaction is endothermic or exo- 
thermic. 
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Untitled picture.png 14-35. Using Table 14.3, calculate the values of 
for 
(a) H2(g) +F2(g) 2HF(g) 
(b) 2CO(g) + 02(g) 2C02(g) 
(c) 3H2(g) + N2(g) * 2NHg(g) 
(d) 2NO(g) + 02(g) 2N02(g) 
State whether each reaction is endothermic or exo- 
thermic.

 

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