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Charles' Law

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Charles' Law
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Gas Laws Experiments Name: ______________________________Page 1 of 12



ASK ME WHICH OF THESE YOU ARE TO DO.

Boyle’s Law-Gas Pressure and Volume (You should have two graphs and data

tables and the answers to the questions at the end of this lab.)

On the desktop is an icon for ―Logger Pro 3.##‖. Open this program. Go to file open folder Chemistry with

Vernier. Choose 06 Boyle’s law and open it.

In this simple experiment, you will use a computer-interfaced Gas Pressure Sensor and a gas syringe to study

the relationship between gas pressure and volume. Temperature and amount of gas will be kept constant. The

results will be expressed in words, in a table, with a graph, and with a mathematical equation. These are four

methods commonly used by scientists to communicate information.

This experiment is similar to one first done by Robert Boyle in 1662—without the use of a computer, of

course. The relationship you will discover is known as Boyle’s law.

OBJECTIVES

In this experiment, you will

• Use a Gas Pressure Sensor and a gas syringe to measure the pressure of an air sample at several

different volumes.

• Make a table of the results.

• Graph the results.

• Predict the pressure at other volumes.

• Describe the relationship between gas pressure and volume with words and with a mathematical

equation.

MATERIALS

computer

Vernier computer interface

Logger Pro

Vernier Gas Pressure Sensor with 20 mL gas syringe









Figure 1

PROCEDURE

1. Prepare the Gas Pressure Sensor and an air sample for data collection.

a. Plug the Gas Pressure Sensor into Channel 1 of the computer interface.

b. With the 20 mL syringe disconnected from the Gas Pressure Sensor, move the piston of the syringe

until the front edge of the inside black ring is positioned at the 10.0 mL mark.

c. Attach the 20 mL syringe to the valve of the Gas Pressure Sensor.

2. Prepare the computer for data collection by opening the file ―06 Boyle’s Law‖ from the Chemistry with

Computers folder.

3. Click to begin data collection.

4. Collect the pressure vs. volume data. It is best for one person to take care of the gas syringe and for

another to operate the computer.

Gas Laws Experiments Name: ______________________________Page 2 of 12

a. Move the piston to position the front edge of the inside black ring (see Figure 2) at the

5.0 mL line on the syringe. Hold the piston firmly in this position until the pressure value stabilizes.









Figure 2

b. When the pressure reading has stabilized, click . Type ―5.0‖ in the edit box. Press the ENTER

key to keep this data pair. Note: You can choose to redo a point by pressing the ESC key (after

clicking , but before entering a value).

c. Continue the procedure for volumes of 7.5, 10.0, 12.5, 15.0, 17.5, and 20.0 mL.

d. Click when you have finished collecting data.

5. In your data table, record the pressure and volume data pairs displayed in the table (print a copy of the

table and graph).

6. Examine the graph of pressure vs. volume. Based on this graph, decide what kind of mathematical

relationship you think exists between these two variables, direct or inverse. To see if you made the right

choice:

a. Click the Curve Fit button, .

b. Choose Variable Power from the list at the lower left. Enter the power in the Power edit box that

represents the relationship shown in the graph (e.g., type ―1‖ if direct, ―–1‖ if inverse). Click .

c. A best-fit curve will be displayed on the graph. If you made the correct choice, the curve should match

up well with the points. If the curve does not match up well, try a different exponent and click

again. When the curve has a good fit with the data points, then click .

7. Once you have confirmed that the graph represents either a direct or inverse relationship, print a copy of

the graph, with the graph of pressure vs. volume and its best-fit curve displayed. Enter your name(s) and

the number of copies you want to print.

8. To confirm that an inverse relationship exists between pressure and volume, a graph of pressure versus

the reciprocal of volume (1/volume or volume-1) may also be plotted. To do this using Logger Pro, it is

necessary to create a new column of data, reciprocal of volume, based on your original volume data.

a. Choose New Calculated Column from the Data menu.

b. Enter ―1/Volume.‖ as the Name, ―1/V‖ as the Short Name, and ―1/mL‖ as the Unit.

c. Enter the correct formula for the column, (1/volume) into the Equation edit box. Type in ―1‖ and ―/‖.

Then select ―Volume‖ from the Variables list. In the Equation edit box, you should now see

displayed: 1/―Volume‖. Click Done.

d. Click on the horizontal-axis label, select ―1/Volume‖ to be displayed, and click .

9. Make a best-fit curve.

a. Click the Curve Fit button, .

b. Choose Variable Power from the list at the lower left. Type ―1‖ in the power edit box. Click .

c. Click .

If the relationship between P and V is an inverse relationship, the plot of P vs. 1/V should be direct; that

is, the curve should be linear and pass through (or near) your data points. Examine your graph to see if

this is true for your data.

Print the graph of P vs. 1/V.

Gas Laws Experiments Name: ______________________________Page 3 of 12

Print screen of the graph and data. Paste the graphic to the bottom of the next page.

DATA (This Should Be On Your Print Out.)

Volume 5.0 7.5 10.0 12.5 15.0 17.5 20.0

(mL)



Pressure ______ ______ ______ ______ ______ ______ ___ __

(kPa)



Look at general trends. When looking for general trends, mentally round off the numbers above to two

significant figures.

PROCESSING THE DATA (Type Your Answers Here)

1. See the data table and note the pressure when the volume is 10.0 mL, and when the volume is 5.0 mL.

What happened to pressure when the volume was halved?







2. See the data table and note the pressure when the volume is 20.0 mL. Compare this pressure to the

pressure when the volume is 10.0 mL. What happened to the pressure when the volume was doubled?









3. From your graph, what is the pressure when the volume is 16 mL? 8 mL? How do these values compare?









4. What would the pressure be at 40.0 mL? At 2.5 mL? Explain how you determined these values.









5. What is the relationship between gas pressure and volume (Boyle’s law) in words?









6. Do gas pressure and volume vary directly or inversely? Explain.









7. Write an equation to express the relationship between gas pressure and volume. Use the symbols P, V,

and k. (Formula for a straight line (y = mx + b) watch the units. Use your linear graph from above.)

Gas Laws Experiments Name: ______________________________Page 4 of 12

Gay-Luccac’s Gas Temperature and Pressure

On the desktop is an icon for ―Logger Pro 3.##‖. Open this program. Go to file open folder Chemistry with

Vernier. Choose 07 Gas Temperature and Pressure and open it.

Gases are made up of tiny particles. The particles are in constant motion and exert pressure when they strike

the walls of their container. In this simple experiment, you will use a computer-interfaced pressure sensor

and an air sample in a stoppered flask to study the relationship between gas pressure and temperature. The

volume and amount of gas will be kept constant. The results will be expressed in words, in a table, with a

graph, and with a mathematical equation.

OBJECTIVES

In this experiment, you will

• Use a computer-interfaced pressure sensor to measure the pressure of an air sample at several different

temperatures.

• Measure temperature.

• Make a table of the results.

• Graph the results.

• Predict the pressure at other temperatures.

• Describe the relationship between gas pressure and temperature with words and with a mathematical

equation.

MATERIALS

computer heavy-wall plastic tubing

Vernier computer interface 125 mL flask

Logger Pro four 1 liter beakers Use the coffee can

in the red box under the shelves.

Vernier Gas Pressure Sensor ice

Vernier Temperature Probe hot plate

rubber stopper assembly glove or cloth

ring stand and utility clamp









Figure 1

Gas Laws Experiments Name: ______________________________Page 5 of 12

PROCEDURE

1. Obtain and wear goggles.

2. Prepare a boiling-water bath. Put about 800 mL of hot tap water into large coffee can and place it on a

hot plate. Turn the hot plate to a high setting.

3. Prepare an ice-water bath. Put about 700 mL of cold tap water into a second plastic shoe box and add ice.

4. Put about 800 mL of room-temperature water into another plastic shoe box.

5. Put about 800 mL of hot tap water into a third plastic shoe box.

6. Prepare the Temperature Probe and Gas Pressure Sensor for data collection.

a. Plug the Gas Pressure Sensor into Channel 1 of the computer interface.

b. Plug the Temperature Probe into Channel 2 of the computer interface

c. Obtain a rubber-stopper assembly with a piece of heavy-wall plastic tubing connected to one of its two

valves. Attach the connector at the free end of the plastic tubing to the open stem of the Gas Pressure

Sensor with a clockwise turn. Leave its two-way valve on the rubber

stopper open (lined up with the valve stem as shown in Figure 2) until

Step 6f.

d. Insert the rubber-stopper assembly into a 125 mL Erlenmeyer flask.

Important: Twist the stopper into the neck of the flask to ensure a tight

fit. Figure 2









Figure 3

e. Close the 2-way valve above the rubber stopper—do this by turning the valve handle so it is

perpendicular with the valve stem itself (as shown in Figure 3). The air sample to be studied is now

confined in the flask.

7. Prepare the computer for data collection by opening the file ―31 Pressure and Temp‖ from the Physical

Science w Computers folder.

8. Click to begin data collection.

9. Collect pressure vs. temperature data for your gas sample:

a. Place the flask into the ice-water bath. Make sure the entire flask is covered (see Figure 3). Stir.

b. Place the Temperature Probe into the ice-water bath.

c. When the pressure and temperature readings displayed in the meter stabilize, click . You have

now saved the first pressure-temperature data pair.

10. Repeat the Step-9 procedure using the room-temperature bath.

11. Repeat the Step-9 procedure using the hot-water bath.

12. Use a ring stand and utility clamp to suspend the Temperature Probe in the boiling-water bath. To keep

from burning your hand, hold the tubing of the flask using a glove or a cloth. After the Temperature

Probe has been in the boiling water for a few seconds, place the flask into the boiling-water bath and

repeat the Step-9 procedure. Remove the flask and the Temperature Probe after you have clicked .

CAUTION: Do not burn yourself or the probe wires with the hot plate.

13. Click when you have finished collecting data. Turn off the hot plate. Record the pressure and

temperature values in your data table, or, if directed by your instructor, print a copy of the table.

14. Examine your graph of pressure vs. temperature (°C). In order to determine if the relationship between

Gas Laws Experiments Name: ______________________________Page 6 of 12

pressure and temperature is direct or inverse, you must use an absolute temperature scale; that is, a

temperature scale whose 0° point corresponds to absolute zero. We will use the Kelvin absolute

temperature scale. Click on the horizontal-axis label, select ―Temp Kelvin‖ to be displayed on the

horizontal axis. Autoscale both axes starting with zero, double-click in the center of the graph to view

Graph Options, click the Axes Options tab, and select Autoscale from 0 for both axes.

15. Decide if your graph of pressure vs. temperature (K) represents a direct or inverse relationship:

a. Click the Curve Fit button, .

b. Choose your mathematical relationship from the list at the lower left. If you think the relationship is

linear (or direct), use Linear. If you think the relationship represents a power, use Power. Click

.

c. A best-fit curve will be displayed on the graph. Click . If you made the correct choice, the

curve should match up well with the points. If the curve does not match up well, try a different

mathematical function and click again. When the curve has a good fit with the data points,

then click .

16.Print a copy of the graph of pressure vs. temperature (K). The curve fit should still be displayed on the

graph. Enter your name(s) and the number of copies you want to print.

17.Use your best-fit curve and the power of Logger Pro to obtain answers to Question 3.

a. Choose Interpolate on the Analyze menu.

b. Move the cursor along the graph to a position above 350 K—the temperature displayed on the screen

should be 350. The pressure displayed on the screen is your pressure value for 350K. Record it.

c. Move the cursor along the graph until the temperature is 200 K. Read and record pressure for 200 K.

18.Change the right tickmark on the x-axis to 450 before repeating the procedure for 400K.

Gas Laws Experiments Name: ______________________________Page 7 of 12

DATA

Water bath Temperature Temperature Pressure

(°C) (K) (kPa)

Ice ______ ______ ______

Room temperature ______ ______ ______

Hot ______ ______ ______

Boiling ______ ______ ______

PROCESSING THE DATA (Send A Printout Of The Data And Graph With The Answers To These Questions)

1. What is the relationship between gas pressure (P) and temperature (T) in words?









2. Explain this relationship using the idea of particle speed.









3. Write an equation to express the relationship between pressure and temperature. Use the symbols P, T,

and k. (Formula for a straight line (y = mx + b) watch the units. Use your linear graph from above.)









4. Should the graph go through the origin (0,0)? Explain. (If ―b‖ in y = mx +b is less than 5% of the largest

―y‖ value consider it to be zero’)









5. Explain how you got your answer so show your work. Use your straight line formula from #3

(y = mx + b) Show work.

According to your graph, what would the pressure be at 350 K (77°C)?







At 200 K (–73°C)?







At 400 K (127°C)?









6. What is the temperature when the pressure is zero?

Gas Laws Experiments Name: ______________________________Page 8 of 12

Charles' Law

(Do your Excel file. Answer any questions on that file)

Description

This procedure uses the air trapped inside of a Beral pipette at different temperatures to demonstrate Charles'

Law. In order to do this, we must assume that a constant pressure is exerted by equal depths of hot and cold

water and that that pressure causes no significant distortion of a Beral pipette.

Materials

Beral pipette with constricted tip (These will have to be pulled to get a constricted tip)

250mL beaker

hot plate

thermometer

large container

ice

tap water

Introduction

This procedure uses the air trapped inside of a Beral pipette at different temperatures to demonstrate Charles'

Law. In order to do this, we must assume that a constant pressure is exerted by equal depths of hot and cold

water and that that pressure causes no significant distortion of a Beral pipette.

Procedure

1. Tape a dry, pulled, Beral pipette to the end of metal tongs. Tape it loosely so the pipet isn’t squeezed.

2. While the water heats, completely fill the pipette and count how many drops are contained in the full

pipette Total Volume (Total drops).

3. For the first value, take the room temperature pipet and put it into the ice water. Carefully count the

drops of water that enter into the pipet after holding the pipet in the cold water for at least 1 minute..

4. Lower this assembly into a 250 mL (or larger) beaker of hot water (temperature should NOT be in

excess of 75 °C as this can cause some distortion of the pipette bulb). When the water in the beaker

approaches 75 °C, remove the beaker from the hot plate using beaker tongs.

5. Allow the pipet to remain under water until bubbles cease to emerge from the tip. Read and record

the temperature of the hot water bath (Th).

6. Remove the pipette from the hot water bath and instantly place it into ice water. Allow sufficient time

(at least one minute) for it to cool and for water to enter the pipette. Read and record the temperature

of the cold water bath (Tc).

7. Remove the pipette from the water and carefully count drops of water which have entered the pipette

during cooling (Cold drops).

8. Remove the beaker of water from the hot plate. Repeat the experiment at lower temperatures for the

hot water bath. You MUST have 7 measured values. I would like for you to have 10 values for your

graph.

For data table: Column 1 – Celsius Temperature(h), Column 2 – Volume change (Counted drops), Column 3 –

Total Volume (Total volume + volume change).

Graph: Total Volume vs. Celsius Temperature

Calculate the Percent Error for your experiment. Take your slope formula from the graph,

calculate the temperature at which the volume will be zero. Compare this answer to the correct

answer of -273 oC in your % error formula. Write a conclusion paragraph about your results and

the scientific principles addressed by this experiment.



Safety: Hot plates and hot water can cause burns. Handle hot materials with caution.

Gas Laws Experiments Name: ______________________________Page 9 of 12

Graph Instruction for Excel

1. Open Excel

2. In A1 type your name. In Student does not turn in homework. In C1 type your lab partner’s name.

3. In A2 put your title

4. In A3 type ―Purpose: then your purpose.‖

5. In A4 Type ―Data:‖

6. In A5 Type ―Temperature (T2)‖ In B5 type the value of your cold temperature.

7. In A6 Type ―Total Drops (V1)‖ In B6 type the value of your total drops.

8. In A7 Type ―Temperature (degrees C)‖

9. In B7 type ―Δ Volume‖

10. In B8 - type your measure # of drops change for each temperature. (This comes from your raw data)

11. In C7 type ―Total volume after heating.‖

12. In C8 – Type ―=‖ put in the value from B6 ―+‖ then click on cell B8.

13. Press enter then arrow back to cell B8. Move your cursor over the small square at the



bottom right of B8. When the cursor changes to the small + you see here.



14. Highlight B8 - ??(measured values) and C8-?? Then click this button

15. Choose XY scatter. Note: The title

16. Complete the graph with a title, label the X and Y axis. And finish should be Y vs. X

17. Click on the Series box and press delete.









18. With the graph selected, click Chart/Add Trendline

19. The default is linear. Click the Options tab Check Display equation on Chart. Click OK





20. When the equation shows Copy ―Total Volume‖ from C7 then move

your cursor beside the ―y‖ delete the letter ―y‖ and paste. Then type ―T‖ in Place of ―x‖. Type the units

for the slope as seen below. Highlight all the text in the box and change the size of the font to 12 point.

Your final formula should look like this



Total Volume = (0.8639 drop/oC) T + 196.11 drops



21. In A? (a cell below your graph) type ―Conclusion:‖ in the next A cell type your conclusion. Make sure

that the graph is NOT selected.

You can change font size, bold, center text and more to make the print out pretty.

Gas Laws Experiments Name: ______________________________Page 10 of 12

Molecular Mass Determination of Butane (C4H10)

Formal Lab Report

Purpose: To determine the molar mass of butane (C4H10)



Equipment: Erlenmeyer Flask Water basin

Piece of glass Butane lighter Graduated cylinder



Procedure:

1. Make sure the butane lighter is dry, and find its mass.

2. Fill the water basin with water.

3. Completely fill the flask with water.

4. Turn the flask upside down in the water basin, making sure there are no air bubbles

are inside.

5. Bubble the gas into the flask, until only 2 or 3 cm of water remains.

6. Put the piece of glass over the top of the flask and turn it over.

7. Using the graduated cylinder, measure the amount of water needed to completely

refill the flask. This is how much gas was collected.

8. Completely dry the lighter and find its mass.

9. Clean and dry the equipment and lab station.

10. Find the room temperature and barometric pressure.

11. Write a lab report: data table, calculations (molar mass and % error), conclusion.

Use your own paper. Ignore the questions although they may help you figure out

want to do with the calculations portion of your lab report.

Questions and calculations: (In the conclusion answer these questions. Write the

question)

1. How much butane did it take to fill the flask (mass)?



2. What was the volume of the gas in mL?



3. How many liters of gas is this?



4. How many moles of gas is this?



5. What is the density of the butane in g/L

molar mass

6. What is the molar mass of butane? (Use this formula – Density  )

22.4 L

7. The formula for butane is C4H10. What is the mass of 1.00 mole of C4H10?

Gas Laws Experiments Name: ______________________________Page 11 of 12

Hydrogen and Oxygen Generating, Collecting, & Testing

Hydrogen is a clear, colorless gas which is said to be ―combustible,‖ meaning that it can burn quite readily.

Oxygen is also a clear, colorless gas that is said to ―support combustion,‖ meaning that it must be present for

combustible materials to burn. In this lab, you will be generating, collecting, and testing hydrogen and

oxygen gas. Hydrochloric acid is reacted with zinc to generate the hydrogen. (In general, any strong acid and

almost any metal reacts to produce hydrogen.) Hydrogen peroxide is added to manganese metal to generate

the oxygen. (Hydrogen peroxide decomposes by itself to produce water and oxygen at a slow, imperceptible

rate; the manganese oxide ―rust‖ which coats the manganese metal acts as a catalyst to speed up this

reaction.) By collecting and pop-testing (igniting) different hydrogen/oxygen mixtures, you will audibly

compare them to determine the most reactive (loudest) mixture.

Because this lab is performed on the microscale level, the explosions, though potentially loud, are

completely safe. On the other hand, the two solutions used in this lab, hydrochloric acid (HCl) and hydrogen

peroxide (H2O2), can cause serious damage should they come in contact with your eyes.

Materials

250 mL beaker (1) 10 mL graduated cylinder (1)

small test tube labeled ―H2 generator,‖ 1/6 full of Candle

zinc (1) Lighter from me

small test tube labeled ―O2 generator,‖ 1/6 full of 1 M hydrochloric acid (HCl)

manganese (1) 3% hydrogen peroxide (H2O2)

1-hole rubber stoppers with 1" nozzles (nozzles Permanent marker (1)

are cut from the tips of graduated pipets) (2) tap water

cut-off graduated pipet or super jumbo pipet (1)

Procedure:

Caution: Put on your goggles and apron now!!

Record all observations

1. Fill the beaker 3/4 full with tap water. This will act as a test tube holder, a temperature

regulator, and a water reserve during the experiment.

2. Using the graduated cylinder and the pen, mark the cut-off jumbo pipet to show six equal-

volume increments. This cut-off pipet will be referred to as the ―collection bulb‖ (see figure

below).

3. Light a candle.

4. The test tube labeled ―H2 generator‖ contains several pieces of zinc metal and is topped with a

1-hole stopper (with nozzle). Remove the stopper. Using the full length graduated pipet, add

enough 1 M HCl to fill the test tube to within 2 cm of the top. Replace the stopper and set the

generator in the beaker of water. Wait 5 seconds before beginning the next step.

5. Fill the collection bulb completely full of water. Place the end of the pipet over the end of the

generator and collect the hydrogen gas.

6. Once the collection bulb is filled with gas, hold it horizontally with its mouth roughly 1 cm

from the mid-section of the flame. Avoid putting the bulb directly in the flame. It will melt

and possibly burn. Should this happen, quench the tip in the beaker of water and obtain a new

bulb from the instructor. Gently squeeze a very small portion of the contents of the bulb into

the flame and observe. Repeat.

7. Repeat steps #4 through #6, generating, collecting, and testing oxygen this time. There are two important

differences to keep in mind. First, the test tube labeled ―O2 generator‖ does not contain zinc; it contains

pieces of manganese metal (with an oxide coating, MnO2). Second, hydrogen peroxide (H2O2), not HCl,

will be added to the test tube.

8. While generating both gases side by side, collect and test all different possible ratios of hydrogen and

oxygen. Be as consistent as possible each time. If either of the two reactions should slow down too much,

simply remove the stopper, carefully decant (pour off) the remaining liquid into the sink, and replace it

Gas Laws Experiments Name: ______________________________Page 12 of 12

with some fresh solution from the appropriate stock bottle. Replace the stopper; wait 5 seconds and

resume collecting the gas.

9. Create a bar graph that shows, in a logical fashion, the relative loudness of each of the samples that you

tested (including the pure hydrogen and oxygen). 15 pts

10. Collect the optimum mixture one more time. Instead of pop-testing it with the flame, take it to the

―rocket launch pad‖ and have the instructor supply the activation energy with a Tesla coil. Can you think

of ways to make your rocket go farther? Try them! What ratio of hydrogen, oxygen, and water produces

the greatest distance when the rocket is launched?

11. Dispose of the liquid down the drain. Try to reserve the solids for the next person.

Questions (No Formal Lab Report): 3 ½ pts each

1. Write a balanced equation for the reaction taking place inside the hydrogen generator.





2. Write a balanced equation for the reaction taking place inside the oxygen generator.





3. Define and explain the roll of catalysts.





4. Which do you think will have to be replaced first: the zinc in the hydrogen generator or the manganese in

the oxygen generator? Explain.





5. There are two reasons for filling the generators up so full. What are they ?





6. Explain your observations for the pop-test of pure hydrogen.





7. Explain your observations for the pop-test of pure oxygen.





8. Did you find any mixtures that produced no reaction at all? Explain how that could happen.





9. What proportion of hydrogen and oxygen produced the most explosive mixture? Why was that mixture

most explosive? (Think about volume to volume ration.)





10. Write a balanced equation for the reaction of hydrogen and oxygen.





11. Why don’t the hydrogen and oxygen in the collection bulb react as soon as they mix? What role does the

flame play?





12. If a small spark is needed to supply the activation energy for a small bulb of hydrogen-oxygen mixture,

how could the same small spark also act to supply the activation energy for an entire room-full of the

mixture? In other words, why does one not have to use a proportionately larger amount of energy to

spark a proportionately larger volume of hydrogen and oxygen? (Discuss Activation Energy)


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