Lecture 19 - Gases Part I / Midterm III Review

Tuesday, March 26, 2024

9:00 AM

"We live submerged at the bottom of an ocean of elementary air, which is known by incontestable experiments to have weight" - Torricelli
Class notes (1-18): https://bricejurban.github.io/CHEM101/ 
Assignments this week:
HW 12 Equilibrium and Le Chatelier's Principle 
﷟HYPERLINK "https://boisestatecanvas.instructure.com/courses/28698/assignments/967940"Midterm 3 Thursday - 3/28
Reminders:
Midterm 3 Practice Exam, Video Explanation, and Answer Key are available on Canvas under week 11
Hard copies of the practice exam can be found in the CIC (until they run out)
On Thursday's test you are allowed: One single-sided sheet of notes, Periodic Table, Periodic Chart of the Ions, Solubility rules, Stoichiometry Map, and a calculator

Office Hours (SCNC 314 or Zoom): ﷟HYPERLINK "https://calendly.com/bricejurban/office-hours"By appointment
Today (3/26)
Midterm 3 Review
Gases Part I
Temperature
Pressure Continue here next Tuesday
Density
Kinetic Molecular Theory
Mixtures of Gases and Partial Pressures
Looking Ahead
Thursday (3/26)
﷟HYPERLINK "https://boisestatecanvas.instructure.com/courses/28698/assignments/967940"Midterm 3

Midterm III Review
 
The Main Topics on this test are reflected on the practice test. Check your work with the answer key and if you don't know how to do a problem watch my video explanation. If you don't understand my explanation, please send me an email and I'm happy to help. The CIC is also a great resource. 

The concepts I'm testing on include:
Calculating molar mass
Converting between grams, moles, and particles (atoms/molecules)
mole to mole conversions
gram to gram conversions
gram to gram conversions with limiting reactants and percent yield calculations
Writing balanced and net ionic equations of precipitation reactions
Predicting products
Making use of solubility rules
Using solubility graphs to infer information about relative saturation of salts
General properties of solubility of salts and gases
Solvation of ions by water and dissociation equations
Colligative Properties of water
Vapor pressure lowering
Boiling point elevation
Boiling point elevation
Freezing point depression
Osmotic Pressure
Working with Molarity
Dilutions
volume to gram calculations (involving Molarity)

The practice midterm is a great preview of this. These are the concepts from homework's 10 and 11 (and lectures 13-17). 
Let's practice some problems from Aktiv. Please log-in and we will work through these together.
Determine the molar mass of Li₂CO₃. Provide an answer to two decimal places.




How many moles of NH₃ can be produced from 3.76 moles of nitrogen in the following reaction:
N₂ (g) + 3 H₂ (g) → 2 NH₃ (g)







Hydrogen sulfide (H₂S) is a poisonous, gaseous byproduct of petroleum refining, which reacts with oxygen in the overall equation of the Claus process at high temperatures:


2 H₂S(g) + O₂(g) → 2 S(s) + 2 H₂O(l)

What mass in grams of sulfur would be produced by the complete reaction of 5.51 grams of hydrogen sulfide?






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Untitled picture.png Machine generated alternative text:
Disulfide dichloride (S2Cb) is used in the preparation of rubber. The addition of this compound to natural 
rubber increases the elasticity and tensile strength. Disulfide dichloride can be prepared using the reaction 
below. Calculate the percent yield for this reaction by constructing a BCA table, determining the maximum 
grams of product that can be produced, and calculating the percent yield. Complete Parts 1-3 before 
submitting your answer. 
S8(l) + 4 C12(g) -+ 4 sc12(l) 
2 
3 
NEXT 
The reaction starts with 12.31 g of ss (MW 256.56 g/mol) and 7.86 g of C12 (MW 70.90 g/mol). Set up the table below that 
represents 100% yield with the given reaction conditions. Set up the table below that represents 100% yield with the given 
reaction conditions. 

mols
S8
+    4 Cl2
--> 4S2Cl2
Before



Change



After










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Based on your table (Part 1), determine the maximum number of grams of S2C12 (MW 135.04 g/mol) formed under these 
conditions. 
masssc12 = 





Untitled picture.png Machine generated alternative text:
The actual yield of S2C12 was 11.1 g. Using the theoretical yield (Part 2), calculate the percent yield. 
% yield = 



Complete the balanced dissociation equation for the compound below in aqueous solution. If the compound does not dissociate, write NR after the reaction arrow. Be sure to include the proper phases for all species within the reaction.


                                                                         AlBr3(s) --->


What quantity in moles of CH₃OH are there in 150.0 mL of 0.210 M CH₃OH?





To what volume (in mL) would you need to dilute 30.0 mL of a 1.35 M solution of NaI to make a 0.0700 M solution of NaI?


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If 28.0 g of NaOH [MM: 40] is added to 0.550 L of 1.00 M Ni(NO₃)₂, how many grams of precipitate will be formed in the following reaction?
2 NaOH(aq) + Ni(NO₃)₂(aq) → Ni(OH)₂ (s) + 2 NaNO₃ (aq)



T




Gases

What is this picture representing? 
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Untitled picture.png Machine generated alternative text:
c 
a liquid compound 
a gaseous mixture 
a gaseous compound 
a liquid mixture 
a gaseous element 
 
When you think of a gas what comes to mind?

An invisible substance, a smoky white, or a darkly colored substance? 
Something light or something heavy? 
Something inert and harmless, essential for life, or toxic and suffocating? 

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For most of human history the separation and study of gases was ignored. It seems so obvious today that multiple gases exist and that most substances can under the right conditions transition phases from a liquid to a gas, but trying to prove the existence of an almost invisible material required the right equipment, careful observation, and diligence. Most of these discoveries were at the forefront of modern chemistry which occurred at the end of the 17th century by Robert Boyle. Made possibly with the invention of the vacuum pump in 1650 by Otto von Guericke and the improved design by Robert Hooke.

Here's an example video of a type of gas prepared from "dry ice" (CO2)

﷟HYPERLINK "https://www.youtube.com/watch?v=2oQ_9nFe9HU"Fire and Flame  38 - Magnesium Burning in CO2

Fire and Flame  38 - Magnesium Burning in CO2 Press enter to activate


Why did the cloth soaked in petrol (gasoline) get extinguished by the CO2 but not the magnesium metal?




Properties of Gases
 
To discuss gases more definitively we need to be familiar with some of their most commonly measured properties:
Temperature
Pressure
Density
Speed
Volume
Amount (mol)

Temperature is I think a good place to start as we're so familiar with it, yet it's a difficult concept to explain correctly.
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Temperature is I think a good place to start as we're so familiar with it, yet it's a difficult concept to explain correctly.

Colloquially, temperature is how warm or cool something feels compared to our body temperature. When a room feels cold, it has a temperature cooler than our body temperature and visa-versa.

Scientifically, temperature is a measure of the average motion (kinetic energy) of particles. A colder temperature in a room has less motion of the particles in the air then a hotter room.

We make measurements of temperature using thermometers which measure degrees of hotness. One of the most common devices for measuring temperature is the glass thermometer. This consists of a glass tube filled with mercury or some other liquid like ethanol, which acts as the working fluid. Temperature increase causes the fluid to expand, so the temperature can be determined by measuring the volume of the fluid. Such thermometers are usually calibrated so that one can read the temperature simply by observing the level of the fluid in the thermometer. Other thermometers use thermocouples or infrared radiation to measure a temperature.

The three temperature scales we should be familiar with are the Fahrenheit, Celsius, and Kelvin scales


 

The Fahrenheit °F scale was proposed by Daniel Fahrenheit in 1724. Originally, defined by:
0 °F - temperature at which brine (1:1:1 mixtures of ice, water, and ammonium chloride) freezes
32 °F - temperature at which pure water freezes
96 °F - body temperature

The Celsius °C (or centigrade) scale was proposed by Anders Celsius in 1742 defined by:
0 °C - melting point of ice
100 °C - boiling point of water

The Kelvin scale (K) was named after Lord Kelvin who calculated that absolute zero was -273.15 °C = 0 K

When working with gases we will use the kelvin scale because it is based on an absolute scale where zero refers to no molecular motion. 

These are the six conversions between the three temperatures
Untitled picture.png Machine generated alternative text:
2120F 
770F 
320F 
-4590F 
Fahrenheit 
dr@amrblme.com 
1 oooc 
250C 
ooc 
-2730C 
Celsius 
373 K 
298 K 
273 K 
OK 
Kelvin 
Boiling point of water 
Room Temperature 
Freezing point of water 
Absolute zero 
ID 87451386 0 7gengrafik

These are the six conversions between the three temperatures

°F = 9/5°C + 32

°C = 5/9(°F-32)

K = °C + 273.15

°C = K - 273.15

°F = 9/5(K-273.15) +32

K = 5/9(°F -32) + 273.15
Untitled picture.png Machine generated alternative text:
2120F 
770F 
320F 
-4590F 
Fahrenheit 
dr@amrblme.com 
1 oooc 
250C 
ooc 
-2730C 
Celsius 
373 K 
298 K 
273 K 
OK 
Kelvin 
Boiling point of water 
Room Temperature 
Freezing point of water 
Absolute zero 
ID 87451386 0 7gengrafik 

Convert -115.1 °C to K




Convert 436.1 K to °C





While traveling in Europe, you see a weather forecast of 20.0 °C. What is this temperature in °F?





Continue here next Tuesday
Pressure is the next property we should discuss. Like temperature we have both an everyday understanding and a scientific definition.
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Pressure is the next property we should discuss. Like temperature we have both an everyday understanding and a scientific definition.

Commit to memory that pressure refers to the amount of force applied over an area. 

If we have more force and keep the area the same we have a greater pressure. 
We can also decrease the area the force is applied to also increase the pressure.

Consider the action of a hammer on a nail. The force of the swing exerted on the small area of the nail causes it to be driven into a board.
Or consider a submarine deep underwater withstanding the weight of the ocean above it through its thick walls. 

Now consider the atmosphere above us, also a fluid, pushing down upon us with 1 atmosphere of pressure at sea level. This pressure we experience on an everyday but don't notice it. Thus pressure is commonly thought of as how it compares to that at sea level, and this is historically how it's been measured.

Barometers are devices that can measure subtle differences in air pressure. Watching a weather report we are constantly hearing about low and high pressure systems.


The first barometer was invented in 1643 by Evangelista Torricelli after he interpreted the results of Gasparo Berti's experiment. In short: Berti's experiment consisted of filling with water a long tube that had both ends plugged, then standing the tube in a basin of water. The bottom end of the tube was opened, and water that had been inside of it poured out into the basin. However, only part of the water in the tube flowed out, and the level of the water inside the tube stayed at an exact level, which happened to be 10.3 m (34 ft)
Gasparo_Berti_Experiment.jpg undefined
It was traditionally thought that air did not have weight: that is, that the kilometers of air above the surface did not exert any weight on the bodies below it. Even Galileo had accepted the weightlessness of air as a simple truth. Torricelli questioned that assumption, and instead proposed that air had weight which held (or rather, pushed) up the column of water. He thought that the level the water stayed at (10.3 m) was reflective of the force of the air's weight pushing on it (specifically, pushing on the water in the basin and thus limiting how much water can fall from the tube into it). He viewed the barometer as a balance, an instrument for measurement.

Torricelli was able to recreate Berti's experiment with mercury, which is about 14 times denser than water. Now only a tube 80 cm (0.8 m) was needed
Untitled picture.png
Gasparo_Berti_Experiment.jpg undefined

Torricelli was able to recreate Berti's experiment with mercury, which is about 14 times denser than water. Now only a tube 80 cm (0.8 m) was needed
Untitled picture.png 



 The mercury barometer's design gives rise to the expression of atmospheric pressure in inches or millimeters of mercury (mmHg). A torr was originally defined as 1 mmHg. The pressure is quoted as the level of the mercury's height in the vertical column. Typically, atmospheric pressure is measured between 26.5 inches (670 mm) and 31.5 inches (800 mm) of Hg. One atmosphere (1 atm) is equivalent to 29.92 inches (760 mm) of mercury.

Torricelli observed that the height of the mercury in a barometer changed slightly each day concluding that this was due to the changing pressure in the atmosphere. Low pressures indicated a storm was likely the next day.

He wrote that "we are submerged at the bottom of an ocean of elementary air, which is known by incontestable experiments to have weight."

At the top of the mercury column is a void space known as a vacuum. Before this experiment, scientists questioned whether a vacuum could exist.


Standard Pressure = 1 atm = 760 mmHg = 760 torr = 101.325 kPa = 14.7 psi = 29.92 inHg = 1.01325 bar
220px-MercuryBarometer.svg.png 
This is a depiction of a mercury thermometer. 
Convert a pressure of 37.4 psi to atm.



What pressure in mmHg is equivalent to 1.350 atm?


Consider the image of a manometer below. Based on the image, how does the pressure of the gas in the manometer compare to the pressure of the atmosphere?
Untitled picture.png Machine generated alternative text:
Open end 
26.4 cm 
Untitled picture.png Machine generated alternative text:
The gas pressure is higher than the 
atmospheric pressure. 
The gas pressure is lower than the atmospheri 
pressure. 
The gas pressure is the same as the 
c 
atmospheric pressure.
Untitled picture.png Machine generated alternative text:
Open end 
26.4 cm 

Untitled picture.png Machine generated alternative text:
The gas pressure is higher than the 
atmospheric pressure. 
The gas pressure is lower than the atmospheri 
pressure. 
The gas pressure is the same as the 
c 
atmospheric pressure. 




Untitled picture.png Machine generated alternative text:
Consider the image of a mercury manometer below. 
Based on the image, if the pressure of the atmosphere is 
760.0 mmHg, the pressure of the gas is 
Open end 
26.4 cm

 

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