Page 163 - Instrumentation Reference Book 3E
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Absolute gauges  147

             10.2.3  The McLeod gauge (1878)          at  pressures  below  10-2Pa several minutes  are
                                                      required for this. To take a reading. the mercury
             Function  This  gauge  measures  the pressure  of   is raised by  slowly admitting air to the mercury
             gases only, from 5 x  10-4Pa to  atmospheric by   reservoir M. When the mercury passes B, a sam-
             measuring  the force exerted  by  a  sample  of  the   ple of gas of volume  Vis isolated, and the pres-
             gas  of  known  volume  after  a  known  degree of   sure  indicated  will  be  that  in  the  gauge  at  this
             compression.                             instant. The mercury in the reference capillary is
                                                      then  brought  to  0, the  level  of  the  top  of  the
             Construction  This is of glass as shown in Figure   measuring  capillary  and  the  length  h  of  the
             10.2 and uses mercury as the manometric liquid.   enclosed  gas  column,  of  area  a,  is  measured.
             The  measuring  capillary  E  and  the  reference   The mercury is then returned  to A, by  reducing
             capillary F are cut from the same length of tube   the  pressure  in  the  reservoir  M, thus preparing
                                                      the gauge for a further measurement.
             to equalize capillary effects. A trap R refrigerated
             with  liquid  nitrogen  or  solid  carbon  dioxide
             excludes vapors, and prevents the escape of mer-   Calculation of the pressure  Applying Boyle’s Iaw
             cury vapor from the gauge. The tap T maintains   to the isolated sample of gas; we have
             the vacuuim in the gauge when it 1s transferred to
             another system.                              original pressure x original volume
                                                          = final pressure x final volume
             Opevation  The  mercury  normally  stands  at A,
             allowing  the  bulb  and  measuring  capillary  to   or
             attain  the pressure p  in  the  vacuum  apparatus;   p V = (Izpg + p)ah

                                                      where  p  is  the density  of  mercury  and g is  the
                                   TO                 acceleration due to gravity.
                                   vacuum               Thus
                                   appararur
                R
                                                              ah2
                                                         p=-  V - ah  Pg
                                                      When measuring low pressures, the final volume
                                                      ah is very much less than thle original volume  11.
                                                        Hence
                                                             a
                                                         P = -.  pg . h2
                                                             V
                                                      Showing that p  x h2, giving a square law scale.
                                                        The value of a is found by weighing a pellet of
                                                      mercury of known length inserted in the measur-
                                                      ing capillary, and Vis determined by weighing the
                                                      quantity of distilled water that fills the bulb and
                                                      measuring capillary from the level A. to its closed
                                                      end. Both of these measurements are carried  out
                                                      by the manufacturer,  who  then calculates values
                                                      of h corresponding to a series of known pressures.
                                                      which can then be read directly on the scale.

                                                      The Islzii  effect  The  use  of  a  refrigerated  trap
                        .I
                                                      with  this  gauge,  which  is  necessary  in  almost
             Laboratory
             YaCUlim   1                              every instance, leads to a serious underestimation
                                                      of  the  pressure,  which  is  greater  for  gases with
                                                      large molecules. First  noted  by  Gaede  in  1915,
                                                      and  thoroughly  investigated  by  Ishii  and
                                                      Nakayama  in  1962  the  effect  arises  from  the
                                                      movement of mercury vapor from the pool at A,
                                                      which  passes  up  the  connecting  tube,  and  then
             FigurelO.2  The McLeodgauge.             condenses in the refrigerated trap. Gas molecules
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