Page 165 - Principles of Catalyst Development
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CATALYST  CHARACTERIZATION                                       153

                                                              ';"
                                     DISTRIBUTION  CURVE
                                                          0.4   '"
                                                              '"  E
                                                              0
                                                          0.3
                                                              ~
                                                              ~
                                                              '"
                           0;-                            0.2   .2
                                                              ..,
                            '"                                ....
                           '"  E                          0.1   ..,
                                                              >
                            0
                            ui
                            :E
                            :::l
                            ...J     PENETRATION  CURVE
                           0
                            >  0.2
                            w
                           II:
                            0
                            Q.
                            w  0.1
                            >
                           i=
                            <C
                            ...J
                            :::l
                            :E
                            :::l                        10 3
                           (J
                                    PORE  RADIUS,  nm
                       Figure 7.15.  Cumulative penetration  and distribution curves.
           where  S  is  the  surface tension  of liquid  nitrogen,  V  is  the  molar volume,
            (J  is  the  contact angle,  R  is  the gas  constant,  T  is  the  temperature,  and  r
           is  the  pore  radius  for condensation at  P / Po.  For nitrogen at  -196°C,  r  in
           nanometers is
                                    r = -O.956In(p/ Po)                  (7.12)
                                             MACROPORE   ---+---
                                            CONDENSATION   I
                                                          I
                                          I               I
                             c             I   MESOPORE   :
                             w             ~NDENSAT~
                             CD
                             cr:      BET ----..:
                             o       REGION   I
                             rn
                             c            I
                             «            I
                             w            I
                             ::;          I
                             :::l         I
                             ...J         I
                             o
                             >
                                   o          0.5          1.0
                                              P/Po
                       Figure 7.16.  Condensation regions of adsorption  isotht~rms.
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