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Lab Assignment

16/10/2020 Client: lyjly0515 Deadline: 3 days

  


Continuing with your study of the degradation kinetics of Y in the presence of excess H+ so that [H+] >> [Y], you are interested in finding the activation energy, Ea,. Recall Y has a unique lmax  at 254 nm, with a molar absorptivity ε of 4.55 x 103 cm-1 M-1 at 254 nm and the optical path length of b = 1.00 cm. The following data is collected from samples of Y with a starting (initial) concentration of 1.49 x 10-4 M:


   


Time


(hours)




Absorbance


(at λ = 254 nm)




Temperature (°C)






Time


(hours)




Absorbance


(at λ = 254 nm)




Temperature (°C)


 














 


1.0




0.668




16






1.0




0.669




18


 


2.0




0.664




16






2.0




0.662




18


 


3.0




0.660




16






3.0




0.654




18


 


4.0




0.656




16






4.0




0.647




18


 


5.0




0.652




16






5.0




0.640




18


 


6.0




0.648




16






6.0




0.633




18


 


7.0




0.643




16






7.0




0.626




18


 


8.0




0.639




16






8.0




0.619




18


 


9.0




0.635




16






9.0




0.612




18


 


10.0




0.630




16






10.0




0.605




18


 


11.0




0.626




16






11.0




0.598




18


 


12.0




0.622




16






12.0




0.592




18


 


13.0




0.618




16






13.0




0.586




18


 


14.0




0.614




16










 


15.0




0.610




16






1.0




0.669




19


 


16.0




0.606




16






2.0




0.659




19


 


17.0




0.602




16






3.0




0.649




19


 


18.0




0.598




16






4.0




0.639




19


 


19.0




0.594




16






5.0




0.630




19


  






6.0




0.621




19


 


1.0




0.665




17






7.0




0.612




19


 


2.0




0.659




17






8.0




0.603




19


 


3.0




0.653




17






9.0




0.594




19


 


4.0




0.647




17






10.0




0.586




19


 


5.0




0.642




17






11.0




0.577




19


 


6.0




0.636




17






12.0




0.568




19


 


7.0




0.631




17










 


8.0




0.625




17






1.0




0.664




20


 


9.0




0.620




17






2.0




0.652




20


 


10.0




0.614




17






3.0




0.639




20


 


11.0




0.609




17






4.0




0.627




20


 


12.0




0.604




17






5.0




0.615




20


 


13.0




0.599




17






6.0




0.603




20


 


14.0




0.594




17






7.0




0.591




20


 


15.0




0.589




17






8.0




0.581




20


 


16.0




0.584




17






9.0




0.569




20


 










10.0




0.559




20


  


1. Rate Constant kobs vs. Temperature T (12p). Build a summary table based only on the data from the previous page. In the table present the observed rate constant kobs values at the five different temperatures, T. Show all the graphical work, by pasting in all five EXCEL graphs (one for each temperature) below. Remember to properly title the plots, label the axes correctly and include the linear trend-line equations and R2 values. The summary table requires a title and properly labeled columns. 


  


2. Activation Energy Ea (5p). Using EXCEL prepare an ln(kobs) vs. 1/T plot from the Question 1 kobs vs. T summary table that can be used to determine the activation energy Ea for the system. Paste-in this plot below and give the linear trend-line equation and R2 value (from EXCEL). State the Ea thus obtained. Show all work, explaining clearly how you derived the value of Ea from this plot. 




  


3. Half-Life at 37.0 °C (5p). For the experimental conditions of the degradation study, calculate the t1/2 (half-life) for Y at 37.0 oC. Use equation (6) from the accompanying guide and the kobs at 23.5 oC from Lab Assignment 5. Show all work. Symbolically state the equations you are using. (Hint, the material in Unit 5 Module 3 under “Temperature Effects” may prove helpful.) 


  


4. Percent of Drug Y Remaining (3p). For the experimental conditions of the degradation study, calculate the percent of drug Y remaining after 8.00 hours at 37.0 oC. Show all work. Symbolically state the equations you are using. 

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