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Answer: Determination of the Ideal Gas Constant "R" using Carbon
Answer:
Determination of the Ideal Gas Constant "R" using Carbon Dioxide. (Report 3 digits for this
exercise. No points will be deducted for significant digit errors.) (20 points)
Mass of beaker (optional)
Mass of plastic bag (optional) :
Temperature (in the bag) : 10 oC = 283.15 K
Volume of plastic bag : 4.000 L = 0.004 m3
Barometric pressure : 753.6 mm/Hg = 100471.75 Pa
Using the ideal gas equation : PV = nRT
Here, is the number of moles of CO2 .
Calculated value of R for each trial is shown below-
Trial
1
2
3
4 (wet)
5 (wet)
Mf
288.045
282.169
276.341
263.162
255.967
Mi
294.635
288.045
282.169
276.346
263.162
R
9.4767
10.6282
10.7157
6.6747
12.2306
Rave
10.2735
9.4527
% Error
22.16%
13.70%
Determining The Molecular Weight Of A Gas. (Significant Figures Matter Here !) (30 Pts)
Room temperature – TR : 28 oC or 301.15 K
Water temperature - Tw : 24 oC or 297.15 K
Barometric Pressure – Patm : 753.6 mm/Hg = 100471.75 Pa
Vapor Pressure of Water – Pwater : 2986.421 Pa
Pressure of Butane – Pbutane (Patm- P-water) : 95485.329 Pa
Trial
1
2
3
Total
Mf
12.6293 g
12.5400 g
12.4405 g
MI
12.7084 g
12.6293 g
12.5400 g
Mbutane
0.0791 g
0.0893 g
0.0995 g
0.0893 g
Vbutane
35.10 mL
40.50 mL
45.00 mL
40.2 mL
Molar Mass
58.138 g/mol
Pressure/Volume Measurements. (Report 3 digits for this exercise. No points will be
deducted for significant figure errors.) (20 points)
V
20 cm3
16 cm3
9 cm3
6 cm3
4 cm3
P
363
447
773
1137
1662
PV
7260
7152
6957
6822
6648
V
5 cm3
10 cm3
20 cm3
P
1113
635
320
PV
5565
6350
6400
V
20 cm3
10 cm3
5 cm3
P
414
788
1444
PV
8280
7880
7220
Please Incorporate Your Group’s Data Sheet Here.
How do you explain the large percent error in the gas constant determination? There are
both experimental and scientific factors involved. Include both.
While opening and closing the bag, a lot of dry ice leaves into the surrounding thereby
changing the value of the initial mass we took. Also, the temperature of the bag changes
since there is no proper insulation. Lastly, we assumed the gas to be ideal but in practice, no
gas in the universe is ideal. All these factors lead to large percentage error in the calculation
of Gas Constant.
If some water remained on the lighter at the time of the second weighing (after collecting
the gas), how would this affect your determination of molecular weight? Be specific. Show a
sample calculation to clarify your answer.
Mater remaining on the lighter will increase the measured final mass of butane. Let us
assume the water droplets weigh 2 gm, then,
Initial mass = 12.6293 g
Final Mass = 14.7084 g
Mass of butane gas = 2.0791 g
Volume of gas = 35.10 mL
Using ideal gas equation : PV = nRT
(100471.75)(0.0000351) = ( )(8.314)(297.15)
M = 1456.5 g/mol
As can be observed above, just because of the presence of water droplets on the bag surface,
the molecular mass of butane which is expected to be 52 g/mol is coming out as 1456.5
g/mol. Hence, before measurement of the mass, water droplets must be cleaned and dried.
Which Of The Individual Gas Laws Is Confirmed By The Results Of Part 3?
Since, PV = constant in the measurements, therefore, Boyle’s Law is confirmed by the results
of part-3.

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Determination of the Ideal Gas Constant using Carbon.pdf

  • 1. Answer: Determination of the Ideal Gas Constant "R" using Carbon Answer: Determination of the Ideal Gas Constant "R" using Carbon Dioxide. (Report 3 digits for this exercise. No points will be deducted for significant digit errors.) (20 points) Mass of beaker (optional) Mass of plastic bag (optional) : Temperature (in the bag) : 10 oC = 283.15 K Volume of plastic bag : 4.000 L = 0.004 m3 Barometric pressure : 753.6 mm/Hg = 100471.75 Pa Using the ideal gas equation : PV = nRT Here, is the number of moles of CO2 . Calculated value of R for each trial is shown below- Trial
  • 5. 22.16% 13.70% Determining The Molecular Weight Of A Gas. (Significant Figures Matter Here !) (30 Pts) Room temperature – TR : 28 oC or 301.15 K Water temperature - Tw : 24 oC or 297.15 K Barometric Pressure – Patm : 753.6 mm/Hg = 100471.75 Pa Vapor Pressure of Water – Pwater : 2986.421 Pa Pressure of Butane – Pbutane (Patm- P-water) : 95485.329 Pa
  • 7. MI 12.7084 g 12.6293 g 12.5400 g Mbutane 0.0791 g 0.0893 g 0.0995 g 0.0893 g Vbutane
  • 8. 35.10 mL 40.50 mL 45.00 mL 40.2 mL Molar Mass 58.138 g/mol Pressure/Volume Measurements. (Report 3 digits for this exercise. No points will be deducted for significant figure errors.) (20 points) V
  • 9. 20 cm3 16 cm3 9 cm3 6 cm3 4 cm3 P 363 447 773 1137 1662
  • 12. P 414 788 1444 PV 8280 7880 7220 Please Incorporate Your Group’s Data Sheet Here. How do you explain the large percent error in the gas constant determination? There are both experimental and scientific factors involved. Include both. While opening and closing the bag, a lot of dry ice leaves into the surrounding thereby changing the value of the initial mass we took. Also, the temperature of the bag changes since there is no proper insulation. Lastly, we assumed the gas to be ideal but in practice, no gas in the universe is ideal. All these factors lead to large percentage error in the calculation
  • 13. of Gas Constant. If some water remained on the lighter at the time of the second weighing (after collecting the gas), how would this affect your determination of molecular weight? Be specific. Show a sample calculation to clarify your answer. Mater remaining on the lighter will increase the measured final mass of butane. Let us assume the water droplets weigh 2 gm, then, Initial mass = 12.6293 g Final Mass = 14.7084 g Mass of butane gas = 2.0791 g Volume of gas = 35.10 mL Using ideal gas equation : PV = nRT (100471.75)(0.0000351) = ( )(8.314)(297.15) M = 1456.5 g/mol As can be observed above, just because of the presence of water droplets on the bag surface, the molecular mass of butane which is expected to be 52 g/mol is coming out as 1456.5 g/mol. Hence, before measurement of the mass, water droplets must be cleaned and dried. Which Of The Individual Gas Laws Is Confirmed By The Results Of Part 3? Since, PV = constant in the measurements, therefore, Boyle’s Law is confirmed by the results of part-3.