Page 137 - Gas Adsorption Equilibria
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3. Gravimetry                                                    123


          are:     …length of the two beams of the balance,  ...  mass of adsorbate;
                 ... volume of sorbent / sorbate system and ballast or tare, g ... gravity
          of earth, and   ... density of sorptive gas.
























          Figure 3.3. Schematics of a two beam balance with electromagnetic compensation
                   (Th. Gast, Sartorius) loaded with a sorbent sample of mass   and a ballast or tare
                   of mass



             In order to calculate the mass adsorbed   from the momentum balance
          (3.1) three additional measurements are necessary:

          (1) Calibration measurement of the empty balance, i. e. the balance without a
             sorbent sample and a ballast or tare, in vacuum   In this case we have :
                                            Hence equation (3.1) reduces to





          (2) Measurement of the  loaded balance in vacuum      Since        eq.
             (3.1) reads





          (3) Measurement of the empty balance  in the  sorptive gas   to  determine
             the moment of the buoyancy forces of the balance parts, i. e. beams, wires,
             baskets etc. From (3.1) we get for
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