Page 288 - Introduction to Colloid and Surface Chemistry
P. 288

Problems






                        k  = 1.3805  x  1(T 23  JK'  1
                      N A  =  6.0225  x  lO^moP 1
                                       1
                        R  =  8.314  3 J K-  moP 1
                                         19
                        e  =  1.602  1 x  UP  C
                                         12     !
                        e 0 =  8.8542  x  KP FnP
                        g  =  9.806  6 m s~ 2
                  Volume of ideal  gas at s.t.p.  (0°C and  1 atm)
                                            3
                                        2
                          =  2.241 4 x  HP  m  mop 1
                                                    5
                    1 atm  =  760mmHg =  1.013 25 x  10  Pa
                      0°C =  273.15 K
                     In  10 =  2.302 6
                        TT  =  3.141  56
                                            1
                                     4
           rj  (water,  25°C)  =  8.9  x  10"  kg m"  s^  1
             (water,  25°C)  =  78.5
         e/€ 0
           1.  Calculate the average  displacement  in 1 min along a given  axis
        produced  by Brownian motion  for a spherical  particle  of radius 0.1  JAIH
        suspended  in water  at  25°C.
           2.  The  sedimentation  and  diffusion  coefficients for  myoglobin in
                                                 13
        dilute  aqueous  solution  at  20°C are 2.04  x  10"  s and  1.13  x  10" 10
             1
        m 2  s" ,  respectively.  The  partial  specific volume  of  the  protein  is
                3   1                                      3
        0.741  cm  g" ,  the  density  of  the  solution  is  1.00  g cm"  and  the
                                                                  1
        coefficient  of  viscosity  of  the  solution  is  1.00  x  10~ 3  kg  in" 1  s" .
        Calculate (a) the relative  molecular  mass and (b) the frictional ratio of
        this  protein.  What  is  the  probable  shape  of  a  dissolved  myoglobin
        molecule?
           3.  An  aqueous  solution  of  p-lactoglobulin  in  the  presence  of
        sufficient  electrolyte  to  eliminate charge  effects  was  centrifuged  to
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