Homework 09:

(Submission deadline: 23:59, Nov 15, 2022)
  1. Calculate the first ionization energy of hydrogen atom in the unit of kJ/mol according to the Rydberg constant that you obtained from the curve fitting of Balmer series in class.

  2. According to the experimental titration data 
    ------------------------
Volume   Redox Potential
(mL)        (Volt)
------------------------
  5       0.062    
  15      0.085    
  20      0.107    
  22      0.123    
  23      0.138    
  23.5    0.146    
  23.8    0.161    
  24      0.174    
  24.1    0.183    
  24.2    0.194    
  24.3    0.233    
  24.4    0.316    
  24.5    0.34     
  24.6    0.351    
  24.7    0.358    
  25      0.373    
  25.5    0.385    
  26      0.396    
  28      0.426    
------------------------
    Find the end point of titration.

  3. Solve the problem below by GNUPlot. Also explain your procedure in addition to the script.



    Bonus Questions: (optional)

  4. Draw the titration curve of triprotic acid H3PO4 ;
    pH v.s. volume of base added. Its $K_a$ values are:
    $K_{a_1}=7.1\times 10^{-3}, K_{a_2}=6.3\times 10^{-8}, K_{a_3}=4.2\times 10^{-13} $

    Hint: In case you forgot how to derive [H+], here is the detail procedure.cache PDF


  5. Plot the radial wavefunction for the 3s orbital of hydrogen atom. formula
    Hint: For hydrogen, set Z=1; for 3s orbital, n=3, l=0 and m=0.


References: