Experiment 2 Kinetics of Murexide Decomposition Valdosta State University Objective Determine the rate constant and order of reaction for the decomposition of murexide using graphical methods. Murexide (NH4C8H4N5O6, or C8H5N5O6.NH3), also called ammonium purpurate or MX, is the ammonium salt of purpuric acid. Murexide in its dry state has the appearance of a reddish purple powder, slightly soluble in water. In solution, its color ranges from yellow in strong acidic pH through reddish-purple in weakly acidic solutions to blue-purple in alkaline solutions. O O NH HN O O N NH HN O O NH4+ Valdosta State University Spectrophotometric investigation of the kinetics of decomposition of murexide in acid solutions. Ramaiah, N. A.; Gupta, S. L.; Vishnu. Indian Institute of Sugar Technol., Kanpur, Zeitschrift fuer Naturforschung (1957), 12b 189-95. A hypothesis referring to the formation of an intermediate complex (electrically uncharged) that decompd. unimolecularly to give the products, uramil and alloxan, was proposed. O O NH HN O O N NH HN O NH4+ O H+/H2O O O HN NH O NH2 + O O HN NH O Valdosta State University O Background As seen in experiment one, the rate of reaction can be described by the equation: Valdosta State University Background As seen in experiment one, the rate of reaction can be described by the equation: reactant rate t Valdosta State University Background As seen in experiment one, the rate of reaction can be described by the equation: reactant rate t or product rate t recall [ ] = mole/L Valdosta State University Background - The rate for this reaction changes as the concentration changes. - The chemist is required to stop the reaction and measure the concentration. - A better approach would be to describe the rate in terms of the initial concentration. Valdosta State University Background Rate Law For the reaction: A (aq) + B(aq) C(aq) + D(aq) rate = k [A]q[B]r k = rate constant [A], [B] = concentration of reactants q, r = reaction orders Valdosta State University Reaction Orders Order with respect to reactant Plot method Equation of Line Slope Zeroth [A] vs. Time [A] = -kt + [A]o -k First ln[A] vs. Time ln[A] = -kt + ln[A]o -k Second 1/[A] vs. Time (1/[A]) = kt + (1/[A])o k Valdosta State University Background Determining Reaction Orders One method is to run the reaction several times using different concentrations and observe the rate change. Valdosta State University Background Determining Reaction Orders One method is to run the reaction several times using different concentrations and observe the rate change. Consider: 2 I-(aq) + S2O82-(aq) I2(aq) + 2 SO42-(aq) I-(aq) (M) S2O82- (aq) (M) Initial Rate (mol/L*sec) 0.080 0.040 12.5 x 10-6 0.040 0.040 6.25 x 10-6 0.080 0.020 6.25 x 10-6 Valdosta State University Background Determining Reaction Orders A second method follows the concentration of one reactant with time. How the concentration decreases reveals the order of the reaction. Valdosta State University Background Determining Reaction Orders A second method follows the concentration of one reactant with time. How the concentration decreases reveals the order of the reaction. Consider: 2 C4H6(g) C8H12(g) Valdosta State University Background Determining Reaction Orders 2 C4H6(g) C8H12(g) Time (seconds) [C4H6] 195 1.6 x 10-2 604 1.5 x 10-2 1246 1.3 x 10-2 2180 1.1 x 10-2 6210 0.68 x 10-2 Valdosta State University Background Determining Reaction Orders - The order of the reaction with respect to C4H6 is determined by building several graphs. - The graph that yields the straightest line indicates the order of the reactant. Valdosta State University Background Determining Reaction Orders - The order of the reaction with respect to C4H6 is determined by building several graphs. - The graph that yields the straightest line indicates the order of the reactant. Order with respect to reactant Plot method Slope Equation of Line Zeroth [A] vs. Time -k [A] = -kt + [A]o First ln[A] vs. Time -k ln[A] = -kt + ln[A]o Second 1/[A] vs. Time k (1/[A]) = kt + (1/[A])o Valdosta State University Background Determining Reaction Orders 2 C4H6(g) C8H12(g) Time (seconds) [C4H6] 195 1.6 x 10-2 604 1.5 x 10-2 1246 1.3 x 10-2 2180 1.1 x 10-2 6210 0.68 x 10-2 Valdosta State University Background Determining Reaction Orders Zeroth Order Plot – [C4H6] versus Time 0.018 0.016 Concentration (M) 0.014 0.012 y = -1x10-06x + 0.0154 R2 = 0.9429 0.01 0.008 0.006 0 1000 2000 3000 4000 Time (seconds) Valdosta State University 5000 6000 7000 Background Determining Reaction Orders First Order Plot – ln[C4H6] versus Time -4.1 -4.3 ln[C4H9] -4.5 -4.7 y = -0.0001x - 4.1432 R2 = 0.9852 -4.9 -5.1 -5.3 -5.5 0 1000 2000 3000 4000 Time (seconds) Valdosta State University 5000 6000 7000 Background Determining Reaction Orders Second Order Plot – [C4H6]-1 versus Time 160 140 120 1/[C4H6 ] 100 80 y = 0.0142x + 59.234 R2 = 0.9995 60 40 20 0 0 1000 2000 3000 4000 Time (seconds) Valdosta State University 5000 6000 7000 Background Determining Reaction Orders - The problem is finding a way to determine the concentration of the reactant. - If the compound has a color, the intensity of color can be related to the concentration. Valdosta State University Colorimeter • Transmittance (T) – the amount of light that penetrates a solution. T = I I / I0 T = e-ebc A = -10log(T) = 10log(1/T) A = 10log (100/%T) A = e b c e-molar absorptivity (L/mol cm) For a solution in a cuvette, with a ct. cell width, A a c A = Kc (Beer’s law) Valdosta State University Background Beer’s Law A = ebc A = absorbance e = molar absorbtivity b = path length c = concentration - The sample holder and solution characteristics are constant. - For this experiment, “a” and “b” are both constant. Valdosta State University Technique - Colorimeter Valdosta State University Experimental Setup 1. Boot up the computer. When the computer boots up, turn on the Pasco Scientific interface. 2. Connect the serial plug of the converter to the serial connection on the interface, then connect the USB plug to the USB port on the computer (be sure the colorimeter is plugged into channel B) 3. Start DataStudio Software. 4. On the opening screen, select “Create Experiment”. 5. Click and drag the “Colorimeter” sensor to Channel B of the interface box shown in the experimental setup window. 6. Double click on the colorimeter icon. Click on “Slow”, then click on the “+” sign until the “Periodic Samples” displays “5 s”. Click on “Ok”. 7. Click on the “Options” button. Click on the “Automatic Stop”. Click on time and enter “301” then click “Ok” to exit. Technique - Colorimeter Calibration of Colorimeter Valdosta State University 1. Fill a plastic cuvet full of 0.1 M HCl. 2. Double click on the colorimeter icon. Click on the calibration tab. 3. Put the cuvet with the 0.1 M HCl into the colorimeter with the ribbed side facing toward you. Close the lid. 4. Make sure the colorimeter display reads “Please Calibrate”. On the computer screen, click on the “Take Reading” in the Low Point box. 5. Press the “Select” and the “Start / Stop” buttons on the colorimeter at the same time. 6. Press “Select” on the colorimeter. 7. Press “Select” on the colorimeter two more times, or until the digital display on the colorimeter shows “Green 565 nm” 8. Press “Start” on the colorimeter. Click on “Take Reading” in the High Point box. Click on “Ok”. 9. Fill a clean, dry cuvet with the 0.100 g / L murexide solution. Put the cuvet in the colorimeter with the ribbed side facing toward you. Close the lid of the colorimeter. 10. The digital display on the colorimeter will display the %T. Record the data on the report sheet. 11. Drag the table icon from the “Displays” menu and drag it onto the “% Transmittance, Ch B” icon. 12. Double click on the “% Transmittance, Ch B” icon. Click on the “Numeric” tab. Click on “Fixed Decimals”. Change the number in the box from 0 to 1. Click on “Ok”. Technique - Colorimeter Running the Experiment 1. Measure out 2.5 mL of murexide solution and put the solution into a cuvet. 2. The following steps must be done quickly: a. Add 10 drops of 0.1 M HCl to the murexide in the cuvet. b. Quickly cap the cuvet, mix the solution and insert the cuvet (ribbed side toward you) into the colorimeter. c. Close the cover and double click on the “Start” button. 3. When the timer reads zero the computer has finished taking data, and you may remove the cuvet from the colorimeter. 4. Repeat the experiment two additional times. Valdosta State University Example Data Determining [murexide] - molecular formula: C8H8N6O6 - formula weight of murexide: 284.19 g/mol - solution concentration is 0.100 g/L Valdosta State University Example Data Determining [murexide] - molecular formula: C8H8N6O6 - formula weight of murexide: 284.19 g/mol - solution concentration is 0.100 g/L Valdosta State University Example Data Converting %T into A - use equation 2.5 pg 19 from the laboratory manual. Valdosta State University Example Data Converting %T into A - use equation 2.5 pg 19 from the laboratory manual. Valdosta State University Example Data Determining e - use equation 2.6 pg 19 from the laboratory manual. Valdosta State University Example Data Determining e - use equation 2.6 pg 19 from the laboratory manual. Valdosta State University Example Data Time ( s ) Transmittance Absorbance 0 4.56 1.341 5 4.78 1.321 10 4.88 1.312 15 4.78 1.321 20 4.88 1.312 25 4.98 1.303 30 4.98 1.303 35 5.19 1.285 40 5.28 1.277 45 5.40 1.268 50 5.60 1.252 55 5.70 1.244 60 5.92 1.228 65 5.92 1.228 70 6.01 1.221 6.32 1.199 75 Valdosta State University Example Data Use Beer’s Law to determine [murexide] at each time - use equation 2.5 pg 19 from the laboratory manual or A=ec Valdosta State University Example Data Use Beer’s Law to determine [murexide] at each time Time ( s ) Transmittance Absorbance [murexide] 0 4.56 1.341 0.00033 5 4.78 1.321 0.0033 10 4.88 1.312 0.00032 15 4.78 1.321 0.00033 20 4.88 1.312 0.00032 25 4.98 1.303 0.00032 30 4.98 1.303 0.00032 35 5.19 1.285 0.00032 40 5.28 1.277 0.00032 45 5.40 1.268 0.00031 50 5.60 1.252 0.00031 55 5.70 1.244 0.00031 60 5.92 1.228 0.00030 65 5.92 1.228 0.00030 70 6.01 1.221 0.00030 75 6.32 1.199 0.00030 Valdosta State University ln[murexide] 1/[murexide] Example Data Zeroth Order graph - plot [murexide] versus time - be sure to include a trendline with the R2 and the linear regression equation Valdosta State University Example Data First Order graph - plot ln[murexide] versus time - be sure to include a trendline with the R2 and the linear regression equation Valdosta State University Example Data Second Order graph - plot 1/[murexide] versus time - be sure to include a trendline with the R2 and the linear regression equation Valdosta State University Safety • The 0.1 M HCl is corrosive. If you spill some on you, wash the affected area for five minutes. If the acid gets in the eyes, wash the eyes for ten minutes. Seek immediate medical attention! Neutralize any acid spills with baking soda. • Murexide is a mild irritant. If you spill some on you, wash the affected area with soap and water. If the murexide gets in your eyes, wash the eyes for ten minutes. Seek immediate medical attention! Valdosta State University Waste Disposal All waste materials may be disposed of in the sink, flushed with plenty of water. Valdosta State University