Molar Mass of a Carbonate Using the Ideal Gas Law - Caddellchemistry.caddell.org/Experiment 9 Molar Mass Using the Ideal Gal... · Chemistry 143 Experiment #9 Ideal Gas Law Dr. Caddell

Chemistry 143 Experiment #9 Ideal Gas Law Dr. Caddell

Determining the Molar Mass of an Unknown Carbonate Using the IdealGas Law

In this lab you will determine the molar mass of an unknown carbonateby using the ideal gas law to determine the number of moles of carbondioxide produced when the carbonate reacts with hydrochloric acid. Knowing the moles of carbon dioxide will allow you to calculate the moles of the unknown. Combined with the mass of the unknown this will allow you to calculate the molar mass of the unknown carbonate.

StockroomYou will need 1 Florence flask with 2hole stopper and glass tubing inserted, a 1hole rubber stopper for your 250 mL Erlenmeyer flask with glass tubing inserted, 2 pieces of rubber tubing, a pinch clamp,a digital thermometer, and 3 cuvettes. The class will need several 500 mL graduated cylinders and a barometer.

EquipmentYou will need your 600 mL beaker, your 150 mL beaker, and your 250 mLErlenmeyer flask.

ChemicalsYou will need about 6 grams of an unknown carbonate and about 35 mL of 6M HCl (with a 10 mL graduated cylinder by the bottle).

Introduction

In this experiment you will react your unknown carbonate with hydrochloric acid. The general reaction is

X2CO3(s)+2HCl(aq )2XCl(aq )+H2O (l )+CO2(g )or

XCO3(s)+2HCl(aq ) XCl2(aq )+H2O( l )+CO2 (g )

depending on the charge on the cation. There are no unknowns with a +3 cation.

The important thing here is that there is always a 1:1 mole ratio between the carbonate and carbon dioxide. This means that knowing the moles of carbon dioxide produced gives you the moles of your unknown.

NAME:___________________________ 1 of 14 SECTION:__________________


Because you will weigh your unknown, you will know both the mass and the number of mole of your unknown in that mass. This means you can calculate the molar mass of your unknown.

Molar mass of unknown=Mass of unknownMoles of unknown

(Equation 1)

To find the moles of carbon dioxide produced by your unknown you willuse the ideal gas law.

PV=nRTor

n=PVRT

(Equation 2)

The variables in this equation and their units are:

P=pressure in of the gas in atmV=volume of the gas in liters

R=0.08206L⋅atmK⋅mol

T=temperature of the gas in Kelvins

You will measure the pressure, volume, and temperature of the carbon dioxide allowing you to calculate the moles of the carbon dioxide, which gives you the moles of your unknown.

Because you will be collecting the carbon dioxide gas over water, there will also be gaseous water molecules mixed in with the carbon dioxide molecules. This means the pressure we measure, the atmospheric pressure, will come from both carbon dioxide and water.

We need to know the pressure of the carbon dioxide by itself. To do this, we will subtract the pressure of the water from the total pressure (which is the same as the atmospheric pressure).

Patm =PCO2+PH 2 O

orPCO2

= Patm−PH2 O

(Equation 3)

You will read the atmospheric pressure from the barometer in the hallway. It looks like this:

NAME:___________________________ 2 of 14 SECTION:__________________


You will use the inner scale, which reads inches of mercury (inHg). The smallest marks are 0.02 inHg apart. The small numbers are 0.1 inHg. In this picture the atmospheric pressure reads as 30.08 inHg.The number you read from the barometer is the atmospheric pressure (Patm).

To use equation 3 you will need to look up the vapor pressure of water at the temperature you measure for your carbon dioxide. Do thatusing the following table.

To find the vapor pressure of water at the temperature of your gas, find the temperature to the integer place in the left column and the tenths place in the top row.

For example, if your temperature is 37.3 oC then the vapor pressure of water is 47.7 mmHg. The integer value (37) is the blue box, the tenths (0.3) is the yellow box, and the pressure (47.7 mmHg) is the green box.

NAME:___________________________ 3 of 14 SECTION:__________________


Vapor Pressure of Water in mmHg from the Antoine Equation

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.910 9.2 9.2 9.3 9.3 9.4 9.5 9.5 9.6 9.7 9.711 9.8 9.9 9.9 10.0 10.1 10.1 10.2 10.3 10.3 10.412 10.5 10.5 10.6 10.7 10.7 10.8 10.9 11.0 11.0 11.113 11.2 11.3 11.3 11.4 11.5 11.6 11.6 11.7 11.8 11.914 11.9 12.0 12.1 12.2 12.2 12.3 12.4 12.5 12.6 12.715 12.7 12.8 12.9 13.0 13.1 13.1 13.2 13.3 13.4 13.516 13.6 13.7 13.8 13.8 13.9 14.0 14.1 14.2 14.3 14.417 14.5 14.6 14.7 14.8 14.8 14.9 15.0 15.1 15.2 15.318 15.4 15.5 15.6 15.7 15.8 15.9 16.0 16.1 16.2 16.319 16.4 16.5 16.6 16.7 16.8 16.9 17.0 17.2 17.3 17.420 17.5 17.6 17.7 17.8 17.9 18.0 18.1 18.2 18.4 18.521 18.6 18.7 18.8 18.9 19.0 19.2 19.3 19.4 19.5 19.622 19.8 19.9 20.0 20.1 20.3 20.4 20.5 20.6 20.7 20.923 21.0 21.1 21.3 21.4 21.5 21.6 21.8 21.9 22.0 22.224 22.3 22.4 22.6 22.7 22.9 23.0 23.1 23.3 23.4 23.525 23.7 23.8 24.0 24.1 24.3 24.4 24.5 24.7 24.8 25.026 25.1 25.3 25.4 25.6 25.7 25.9 26.0 26.2 26.4 26.527 26.7 26.8 27.0 27.1 27.3 27.5 27.6 27.8 27.9 28.128 28.3 28.4 28.6 28.8 28.9 29.1 29.3 29.4 29.6 29.829 30.0 30.1 30.3 30.5 30.7 30.8 31.0 31.2 31.4 31.630 31.7 31.9 32.1 32.3 32.5 32.7 32.9 33.0 33.2 33.431 33.6 33.8 34.0 34.2 34.4 34.6 34.8 35.0 35.2 35.432 35.6 35.8 36.0 36.2 36.4 36.6 36.8 37.0 37.2 37.433 37.6 37.8 38.1 38.3 38.5 38.7 38.9 39.1 39.4 39.634 39.8 40.0 40.2 40.5 40.7 40.9 41.1 41.4 41.6 41.835 42.1 42.3 42.5 42.8 43.0 43.2 43.5 43.7 44.0 44.236 44.5 44.7 44.9 45.2 45.4 45.7 45.9 46.2 46.4 46.737 47.0 47.2 47.5 47.7 48.0 48.2 48.5 48.8 49.0 49.338 49.6 49.8 50.1 50.4 50.7 50.9 51.2 51.5 51.8 52.039 52.3 52.6 52.9 53.2 53.5 53.7 54.0 54.3 54.6 54.940 55.2 55.5 55.8 56.1 56.4 56.7 57.0 57.3 57.6 57.9

T (oC)

To find the volume of carbon dioxide produced you will use the following glassware, set up as in the picture below.

NAME:___________________________ 4 of 14 SECTION:__________________


Glassware for Finding the Volume of Gas Produced in a ChemicalReaction

The chemical reaction occurs in the Erlenmeyer flask on the left.

The gas produced travels through the rubber tubing into the Florence flask in the middle.

The gas exerts a pressure on the water in the middle flask, causing the water to travel through the rubber tubing on the right.

The water is collected in the 600 mL beaker on the right.

The volume of water pushed over is the same as the volume of gas thatis evolved in the chemical reaction.

You will measure the temperature of the water in the Erlenmeyer flaskon the left as soon as the reaction is complete. We can assume that the temperature of the gas is the same as the temperature of the water.

NAME:___________________________ 5 of 14 SECTION:__________________


Procedure

1.) Get your unknown from the stockroom. Tape your unknown number inthe data section at the top of page 8.

2.) Fill your Florence flask with tap water and insert the two hole rubber stopper. Connect the rubber tubing to the glass tubing in thetwo hole rubber stopper. It helps to get the inside of the tubing wet.

3.) Connect the piece of rubber tubing that is connected to the shortpiece of glass tubing in the Florence flask to the one hole stopper for the Erlenmeyer flask. The piece of rubber tubing that is connected to the long piece of glass tubing in the Florence flask should be placed in your 600 mL beaker.

4.) Get a clean, dry cuvette and place it on the balance. Tare the balance. Add about 1.5 grams of your unknown to the cuvette and placeit back on the balance. Record the mass of your unknown in the data section (A1), (B1), (C1).

5.) Carefully place the cuvette with your unknown in it into the Erlenmeyer flask making sure to not spill it.

6.) You will need to get help from another student for this step. Oneperson push air through the rubber tubing from the glass tubing in the one hole rubber stopper. When water is coming out from the rubber tubing in the 600 mL beaker the other person clamps off the rubber tubing as close to the end as they can using a pinch clamp.

7.) Pour the water that was pushed into the 600 mL beaker back into the Florence flask. Take the Florence flask, rubber stoppers, and rubber tubing over to a sink and make sure the Florence is filled completely. Over the sink insert the two holw rubber stopper into the Florence flask. Bring this back to your lab bench.

8.) Obtain a little more than 10 mL of 6M hydrochloric acid.

9.) Pour the hydrochloric acid into the Erlenmeyer flask, making sureit does not touch your unknown yet.10.) Place the one hole rubber stopper into the Erlenmeyer flask. Make sure that both rubber stoppers are in securely. You might need

NAME:___________________________ 6 of 14 SECTION:__________________


to hold them to keep the rubber stoppers tight during the reaction.

11.) Tilt the Erlenmeyer flask so that your unknown carbonate spills into the hydrochloric solution.

12.) Immediately remove the pinch clamp from the rubber tubing in the600 mL beaker.

MAKE SURE TO HOLD BOTH RUBBER STOPPERS DOWN SO THAT THE GAS DOESN'T LEAK OUT!

13.) Continue to shake the Erlenmeyer flask to make sure all of your unknown reacts.

14.) When the reaction is complete place the pinch clamp back on therubber tubing in the 600 mL beaker.

15.) Measure the temperature of the water in the Florence flask usinga digital thermometer. Record this in the data section (A2), (B2), (C2).

16.) Read the atmospheric pressure in inHg in the hallway. Record this in the data section (A3), (B3), (C3).

17.) Pour the water that collected in your 600 mL beaker into a 500 mL graduated cylinder. Record the volume of water in the data section (A4), (B4), (C4).

18.) Repeat steps 2.) 17.) 2 more times.

NAME:___________________________ 7 of 14 SECTION:__________________


Data and Analysis

DATA

Unknown Number___________________________

Mass of unknown 1st trial___________________________(A1)

Temperature 1st trial___________________________(A2)

Atmospheric pressure 1st trial___________________________(A3)

Volume of water collected 1st trial___________________________(A4)

Mass of unknown 2nd trial___________________________(B1)

Temperature 2nd trial___________________________(B2)

Atmospheric pressure 2nd trial___________________________(B3)

Volume of water collected 2nd trial___________________________(B4)

Mass of unknown 3rd trial___________________________(C1)

Temperature 3rd trial___________________________(C2)

Atmospheric pressure 3rd trial___________________________(C3)

Volume of water collected 3rd trial___________________________(C4)

NAME:___________________________ 8 of 14 SECTION:__________________


Analysis

Show all work including significant figures and units. Record your answer in the blank provided to the correct number of significant figures with the correct units.

1.) Convert the temperature from trial 1 to Kelvins. (A2) + 273.15.

____________________________(A5)2.) Convert the atmospheric pressure from trial one to mmHg.

(A3) ×760 mmHg

(29.92 inHg)

________________________(A6)

3.) Find the vapor pressure of water at the temperature of your reaction from the table on page 4. Record it here.

_________________________(A7)

4.) Find the vapor pressure the CO2 by subtracting the vapor pressureof water from the atmospheric pressure. (A6) – (A7)

_________________________(A8)

5.) Convert the pressure of your CO2 in trial 1 to atmospheres.

(A8) ×1 atm

760 mmHg

_________________________(A9)

NAME:___________________________ 9 of 14 SECTION:__________________


6.) Convert the volume of water collected in trial 1 (which is the same as the volume of CO2) to liters.

(A4) ×1 L

1000 mL

________________________(A10)7.) Using the ideal gas law (Equation 2) calculate the moles of CO2 produced in the first trial. This is equal to the moles of your unknown that you reacted.

(A9)(A10)(R)(A5)

________________________(A11)

8.) Calculate the molar mass of your unknown for trial 1 using (Equation 1).

(A1)(A11)

_________________________(A12)

NAME:___________________________ 10 of 14 SECTION:__________________


9.) Convert the temperature from trial 2 to Kelvins. (B2) + 273.15.

____________________________(B5)

10.) Convert the atmospheric pressure from trial two to mmHg.

(B3) ×760 mmHg

(29.92 inHg)

________________________(B6)


_________________________(B7)

12.) Find the vapor pressure the CO2 by subtracting the vapor pressure of water from the atmospheric pressure. (B6) – (B7)

_________________________(B8)


(B8) ×1 atm

760 mmHg

_________________________(B9)

NAME:___________________________ 11 of 14 SECTION:__________________



(B4) ×1 L

1000 mL

________________________(B10)

15.) Using the ideal gas law (Equation 2) calculate the moles of CO2 produced in the second trial. This is equal to the moles of your unknown that you reacted.

(B9)(B10)(R)(B5)

________________________(B11)


(B1)(B11)

_________________________(B12)

NAME:___________________________ 12 of 14 SECTION:__________________


17.) Convert the temperature from trial 3 to Kelvins. (C2) + 273.15.

____________________________(C5)

18.) Convert the atmospheric pressure from trial three to mmHg.

(C3) ×760mmHg

(29.92 inHg)

________________________(C6)


_________________________(C7)

20.) Find the vapor pressure the CO2 by subtracting the vapor pressure of water from the atmospheric pressure. (C6) – (C7)

_________________________(C8)


(C8) ×1 atm

760 mmHg

_________________________(C9)

NAME:___________________________ 13 of 14 SECTION:__________________



(C4) ×1 L

1000 mL

________________________(C10)

23.) Using the ideal gas law (Equation 2) calculate the moles of CO2 produced in the third trial. This is equal to the moles of your unknown that you reacted.

(C9)(C10)(R)(C5)

________________________(C11)


(C1)(C11)

_________________________(C12)

25.) Calculate the average molar mass of your unknown.(A12) + (B12) + (C12)

3

AVERAGE MOLAR MASS OF UNKNOWN:_____________________________TURN IN PAGES 8 – 14 ONLY!

NAME:___________________________ 14 of 14 SECTION:__________________

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Molar Mass of a Carbonate Using the Ideal Gas Law - Caddellchemistry.caddell.org/Experiment 9 Molar Mass Using the Ideal Gal... · Chemistry 143 Experiment #9 Ideal Gas Law Dr. Caddell