User:Moira M. Esson/Notebook/CHEM-571/2013/09/04: Difference between revisions
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==Objectives== | ==Objectives== | ||
* Perform error analysis on the compiled data calibration curve. | * Perform error analysis on the compiled data calibration curve. | ||
**Determine the standard deviation for | **Determine the standard deviation for the data points. | ||
**Determine the confidence interval for 90% and 95% confidence. | **Determine the confidence interval for 90% and 95% confidence. | ||
**Determine if any data can be ruled out using a Q-test. | **Determine if any data can be ruled out using a Q-test. | ||
* Determine the molar extinction coefficient for both adenosine and inosine. | * Determine the molar extinction coefficient for both adenosine and inosine. | ||
* Determine the concentration of an unknown adenosine sample(taken from Javier's group). | * Determine the concentration of an unknown adenosine sample(taken from [[User:Javier Vinals Camallonga/Notebook/Javier Vinals notebook/2013/09/04|Javier's]] group). | ||
* Perform Grubb's test on outlying peak of adenosine molar extinction coefficent graph. | * Perform Grubb's test on outlying peak of adenosine molar extinction coefficent graph. | ||
* Perform data analysis on molar extinction coefficient graphs(both adenosine and inosine). | * Perform data analysis on molar extinction coefficient graphs(both adenosine and inosine). | ||
<br> | <br> | ||
==Group calibration curve data== | ==Group calibration curve data== | ||
'''Figure 1 | '''Figure 1. CHEM-571 Calibration Curve for Adenosine''' | ||
<br> | <br> | ||
[[Image:Chem571groupadenosinecalibration09082013.png]] | [[Image:Chem571groupadenosinecalibration09082013.png]] | ||
Line 26: | Line 27: | ||
<br> | <br> | ||
[[Image:Chem571inosinecalibrationcurve09082013.png]] | [[Image:Chem571inosinecalibrationcurve09082013.png]] | ||
<br> | |||
'''Table 1. Molar absorptivity for Adenosine at a wavelength of 259nm and Inosine at a wavelength of 249nm ''' | |||
<br> | |||
{| {{table}} | |||
| align="center" style="background:#f0f0f0;"|'''Molar Absorptivity(Lmol<sup>-1</sup>cm<sup>-1</sup>)''' | |||
| align="center" style="background:#f0f0f0;"|'''''' | |||
|- | |||
| Adenosine||14025 | |||
|- | |||
| Inosine||11007 | |||
|} | |||
<br> | |||
[[User:Matt Hartings|Matt Hartings]] What wavelength does this molar absorptivity correspond to? | |||
'''Table 2. Standard deviation of Inosine Absorbance values''' | |||
<br> | |||
{| {{table}} | |||
| align="center" style="background:#f0f0f0;"|'''Comcentration(M)''' | |||
| align="center" style="background:#f0f0f0;"|'''Standard Deviation''' | |||
|- | |||
| 4.80E-05||0.10707708 | |||
|- | |||
| 4.00E-05||0.12254917 | |||
|- | |||
| 3.20E-05||0.0943149 | |||
|- | |||
| 2.40E-05||0.06671357 | |||
|- | |||
| 1.60E-05||0.04841797 | |||
|- | |||
| 8.00E-06||0.04748368 | |||
|} | |||
<br> | |||
'''Table 3. Standard deviation of Adenosine Absorbance values''' | |||
<br> | |||
{| {{table}} | |||
| align="center" style="background:#f0f0f0;"|'''Concentration(M)''' | |||
| align="center" style="background:#f0f0f0;"|'''Standard Deviation''' | |||
|- | |||
| 3.00E-05||0.072537576 | |||
|- | |||
| 2.50E-05||0.045680412 | |||
|- | |||
| 2.00E-05||0.064123319 | |||
|- | |||
| 1.50E-05||0.056753854 | |||
|- | |||
| 1.00E-05||0.0313289 | |||
|- | |||
| 5.00E-06||0.046559639 | |||
|} | |||
<br> | |||
'''Table 4. 95% Confidence Intervals for Adenosine Absorbance values''' | |||
<br> | |||
{| {{table}} | |||
| align="center" style="background:#f0f0f0;"|'''Concentration(M)''' | |||
| align="center" style="background:#f0f0f0;"|'''Confidence Interval''' | |||
|- | |||
| 3.00E-05||0.063580821 | |||
|- | |||
| 2.50E-05||0.04003991 | |||
|- | |||
| 2.00E-05||0.056205534 | |||
|- | |||
| 1.50E-05||0.049746033 | |||
|- | |||
| 1.00E-05||0.027460487 | |||
|- | |||
| 5.00E-06||0.040810573 | |||
|} | |||
<br> | |||
'''Table 5. 90% Confidence Intervals for Adenosine Absorbance Values''' | |||
<br> | |||
{| {{table}} | |||
| align="center" style="background:#f0f0f0;"|'''Concentration(M)''' | |||
| align="center" style="background:#f0f0f0;"|'''Confidence Interval''' | |||
|- | |||
| 3.00E-05||0.053358707 | |||
|- | |||
| 2.50E-05||0.033602552 | |||
|- | |||
| 2.00E-05||0.047169171 | |||
|- | |||
| 1.50E-05||0.041748187 | |||
|- | |||
| 1.00E-05||0.023045567 | |||
|- | |||
| 5.00E-06||0.034249313 | |||
|} | |||
<br> | |||
'''Table 6. 95% Confidence Intervals for Inosine Absorbance Values''' | |||
<br> | |||
{| {{table}} | |||
| align="center" style="background:#f0f0f0;"|'''Concentration(M)''' | |||
| align="center" style="background:#f0f0f0;"|'''Confidence Interval''' | |||
|- | |||
| 4.80E-05||0.093855474 | |||
|- | |||
| 4.00E-05||0.10741711 | |||
|- | |||
| 3.20E-05||0.082669136 | |||
|- | |||
| 2.40E-05||0.058475948 | |||
|- | |||
| 1.60E-05||0.042439442 | |||
|- | |||
| 8.00E-06||0.041620516 | |||
|} | |||
<br> | |||
'''Table 7. 90% Confidence Intervals for Inosine Absorbance Values''' | |||
<br> | |||
{| {{table}} | |||
| align="center" style="background:#f0f0f0;"|'''Concentration(M)''' | |||
| align="center" style="background:#f0f0f0;"|'''Confidence Interval''' | |||
|- | |||
| 4.80E-05||0.078765997 | |||
|- | |||
| 4.00E-05||0.09014728 | |||
|- | |||
| 3.20E-05||0.069378126 | |||
|- | |||
| 2.40E-05||0.049074562 | |||
|- | |||
| 1.60E-05||0.035616303 | |||
|- | |||
| 8.00E-06||0.034929038 | |||
|} | |||
<br> | |||
'''Table 8. Q-test at 90% confidence for Inosine Absorbance Values''' | |||
<br> | |||
{| {{table}} | |||
| align="center" style="background:#f0f0f0;"|'''Comcentration(M)''' | |||
| align="center" style="background:#f0f0f0;"|'''Q<sub>exp</sub> values''' | |||
| align="center" style="background:#f0f0f0;"|'''Suspected outlier(Abs)''' | |||
|- | |||
| 4.80E-05||0.435606061||0.331 | |||
|- | |||
| 4.00E-05||0.605769231||0.189 | |||
|- | |||
| 3.20E-05||0.880658436||0.171 | |||
|- | |||
| 2.40E-05||0.987804878||0.128 | |||
|- | |||
| 1.60E-05||0.475806452||0.089 | |||
|- | |||
| 8.00E-06||0.534883721||0.004 | |||
|} | |||
<br> | |||
*Note: With 5 data points Q<sub>c</sub>=0.64. As such, data points 0.171 and 0.128 can be discarded with 90% confidence | |||
<br> | |||
'''Table 9. Q-test at 90% confidence for Adenosine Absorbance Values''' | |||
<br> | |||
{| {{table}} | |||
| align="center" style="background:#f0f0f0;"|'''Concentration(M)''' | |||
| align="center" style="background:#f0f0f0;"|'''Suspected Outliers(Abs)''' | |||
| align="center" style="background:#f0f0f0;"|'''Q<sub>exp</sub>''' | |||
|- | |||
| 3.00E-05||0.558||0.794444444 | |||
|- | |||
| 2.50E-05||0.442||0.705357143 | |||
|- | |||
| 2.00E-05||0.406||0.8625 | |||
|- | |||
| 1.50E-05||0.304||0.675496689 | |||
|- | |||
| 1.00E-05||0.195||0.5 | |||
|- | |||
| 5.00E-06||0.136||0.405405405 | |||
|} | |||
<br> | |||
*Note: With 5 data points Q<sub>c</sub>=0.64. As such, data points 0.558, 0.442, 0.406, and 0.304 can be discarded with 90% certainty. | |||
<br> | |||
'''Table 10. Grubb's Test for Adenosine Absorbance Values''' | |||
<br> | <br> | ||
{| {{table}} | |||
| align="center" style="background:#f0f0f0;"|'''Concentration(M)''' | |||
| align="center" style="background:#f0f0f0;"|'''Suspected Outliers(Abs)''' | |||
| align="center" style="background:#f0f0f0;"|'''G<sub>exp</sub>''' | |||
|- | |||
| 3.00E-05||0.558||1.753573888 | |||
|- | |||
| 2.50E-05||0.442||1.725028241 | |||
|- | |||
| 2.00E-05||0.406||1.75599146 | |||
|- | |||
| 1.50E-05||0.304||1.481520326 | |||
|- | |||
| 1.00E-05||0.195||1.532131655 | |||
|- | |||
| 5.00E-06||0.136||1.426127891 | |||
|} | |||
<br> | |||
*Note: With 5 data points at a 95% confidence level G<sub>c</sub>=1.67. As such, absorbance values 0.558, 0.442 and 0.406 can be discarded with 95% confidence. | |||
==Unknown Adenosine Solution== | ==Unknown Adenosine Solution== | ||
'''Figure | '''Figure 3. Absorption Spectrum of Unknown Concentration''' | ||
<br> | <br> | ||
[[Image:Unknownadenosine09042013zem.png]] | [[Image:Unknownadenosine09042013zem.png]] | ||
<br> | <br> | ||
*Using the calibration curve the concentration of the unknown is 4.7344E-5 M. | *Using the molar extinction coefficient determined from the calibration curve above the concentration of the unknown is 4.7344E-5 M. | ||
*Based on the calibration curve, the average error in this calculation is 1%, shown in Table 11(shown below). | |||
<br> | |||
'''Table 11. Calculations relating to the uncertainty in the unknown concentration ''' | |||
{| {{table}} | |||
| align="center" style="background:#f0f0f0;"|'''Absorbance''' | |||
| align="center" style="background:#f0f0f0;"|'''Concentration (M)''' | |||
| align="center" style="background:#f0f0f0;"|'''Std. dev.''' | |||
| align="center" style="background:#f0f0f0;"|'''Error(%)''' | |||
| align="center" style="background:#f0f0f0;"|'''Average Std.dev''' | |||
| align="center" style="background:#f0f0f0;"|'''Average Error(%)''' | |||
|- | |||
| 0.4308||3.07166E-05||0.185562176||2.350608861||0.078942175||1 | |||
|- | |||
| 0.3632||2.58966E-05||0.131895429||1.670785353|||| | |||
|- | |||
| 0.2934||2.09198E-05||0.086071285||1.090308|||| | |||
|- | |||
| 0.209||1.4902E-05||0.043674771||0.553250165|||| | |||
|- | |||
| 0.147||1.04813E-05||0.021605919||0.273692974|||| | |||
|- | |||
| 0.0696||4.96257E-06||0.004843469||0.061354647|||| | |||
|} | |||
[[User:Matt Hartings|Matt Hartings]] Based on your calibration curve, what is the error in this measurement? | |||
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Revision as of 11:45, 13 September 2013
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Objectives
Group calibration curve dataFigure 1. CHEM-571 Calibration Curve for Adenosine
Matt Hartings What wavelength does this molar absorptivity correspond to? Table 2. Standard deviation of Inosine Absorbance values
Unknown Adenosine SolutionFigure 3. Absorption Spectrum of Unknown Concentration
Matt Hartings Based on your calibration curve, what is the error in this measurement? |