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244  Temperature measurement

            14.2.4  Fahrenheit and Rankine scales    industry. However, in laboratories or under special
                                                     industrial conditions, a wider range of instruments
            These two temperature scales are now obsolete in   is available. In Table 14.7 is a summary of the more
            Britain and the United States. but as a great deal   usually used  measuring instruments in the range
            of engineering data, steam tables, etc., have been   quoted. All measuring instruments  require to be
            published using the Fahrenheit and Rankine tem-   calibrated  against  standards.  In  the  case  of
            perature  a  short  note  for  reference purposes  is   temperature  the  standards  are  the  defining
            relevant.                                fixed points  on  the  IPTS-68. These fixed points
                                                      are not  particularly easy to achieve in workshop
            Fahrenheit  This scale was proposed in  1714. Its   conditions.  Although  the  secondary  points
            original fixed points were the lowest temperature   are  intended  as  workshop  standards  it  is
            obtainable using ice  and water  with  added  salts   more  usual,  in  most  instrument  workshops.  to
            (ammonium chloride)  which was taken  as zero.   calibrate   against   high   grade   instruments
            Human blood heat was made 96 degrees (98.4 on   whose calibration is traceable to the IPTS-68 fixed
            the modern scale). On this scale the ice point is at   points.
            32°F and the steam point  at 212°F. There does
            not  appear  to  be  any  formal  definition  of  the
            scale.                                    14.3  Measurement techniques:
              To  convert  from  the  Fahrenheit  to  Celsius   direct effects
            scale. if  t is the temperature  in Celsius and f the
            temperature in Fahrenheit
                                                      Instruments for measuring temperature described
                                                      in this section are classified according to the nat-
                t = $( f - 32)                (14.7)   ure of the change in the measurement probe pro-
                                                      duced by  the change of temperature. They have
            Rankiize  The  Rankine  scale  is  the  thermo-   been divided into four classes: liquid expansion,
            dynamic   temperature   corresponding   to   gas expansion, change of  state, and solid expan-
            Fahrenheit.  Zero  in  Rankine isi  of  course,  the   sion.
            same as zero  Kelvin.  On the Rankine  scale the
            ice  point  is  at  491.67"R.  Zero  Fahrenheit  is
            459.67 "R. To  convert  temperature  from  Fahr-   14.3.1  Liquid-in-glass thermometers
            enheit  to  Rankine,  where  R  is  the  Rankine
            temperature                               The glass thermometer must be the most familiar
                                                      of all thermometers. Apart from its industrial and
                                                      laboratory use it finds application in both domes-
                R = f + 459.67                (14.8)
                                                      tic and medical fields.
            Table 14.6 illustrates the relationship between the
            four temperature scales.                  14.3. I. 1  hferczrry-filled glass tlzeumometer
                                                      The coefficient of cubical expansion of mercury is
            14.2.5  Realization of temperature measurement   about eight  times greater than  that  of  glass. If,
            Techniques for temperature measurement are very   therefore,  a  glass  container  holding  mercury  is
            varied. Almost any temperature-dependent  effect   heated,  the  mercury  will  expand  more  than the
            may be used. Sections 14.3-14.6  describe the main   container.  At  a  high  temperature,  the  mercury
            techniques for temperature measurement used in   will  occupy  a  greater fraction  of  the volume  of
                                                      the container than at a low temperature. If, then,
                                                      the container is made in the form of a bulb with
                                                      a capillary  tube  attached,  it  can be  so arranged
                                                      that the surface of the mercury is in the capillary
            Table14.6  Comparison of temprature scales
                                                      tube, its position  along the tube will change with
                         K      "C    "F     "R       temperature  and  the  assembly used  to  indicate
                                                      temperature. This is the principle of the mercury-
            Absolute zero   0   -273.15  -523.67   0   in-glass thermometer.
            Boiling point   90.19  -182.96  -361.33   162.34   The thermometer.  therefore. consists simply of
              02                                      a  stem  of  suitable  glass  tubing  having  a  very
            Zero Fahrenheit   255.37   -17.78   0   459.67   small; but uniform,  bore.  At  the bottom of this
            Ice point     273.15   0    32    491.67   stem there is a thin-walled glass bulb.  The bulb
            Steam point   373.15   100   212   671.67   may be cylindrical or spherical in shape and has a
            Freezing point   1235.08  961.93  1763.47  2223.14
              of silver                               capacity  very  many  times  larger  than  that  of
                                                      the  bore  of  the  stem.  The  bulb  and  bore  are
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