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Process Circuit Analysis                                         93


            freedom  or  the  number  of  variables  that  we  must  specify  before  attempting  to
            solve the relations.  Following this, to  determine  which variables to  specify,  thus
            completing  the  formulation  of  the  problem.  The  problem  then  reduces  to  a
            mathematical problem of  determining a solution procedure and  "grinding"  out an
            answer, which are not trivial steps.

            Example 3.1  Purging Air from a Tank______________________

            For the first example, consider the operation of purging a storage tank of air before
            filling  it  with  a  flammable  liquid.  Purging  has  two  meanings.  One  meaning  is
            purging a process unit by displacing the air with an inert gas to conduct  safe plant
            operations and maintenance. Another meaning is withdrawing a stream to limit the
            concentration of contaminants within a process.  Later,  we will examine the latter
            application  of  the  purge.  When  plants  are  shut  down  for  routine  maintenance,
            workers  must  frequently  enter  vessels  -  used  to process  or  store  flammable  or
            toxic chemicals -  for cleaning or repairs.  In many cases vessels require welding.
            For safety reasons, it is essential to remove all traces of a chemical before allowing
            workers  to  enter  a  vessel.  Explosions  triggered  by  a  welder's  torch  occur  fre-
            quently. The New York Times  [5] reported that an explosion killed a welder who
            entered an "empty" compartment of a barge used to transport oil. Apparently, his
            welding torch ignited residual fumes  left by the oil.
                 Organic  vapors,  and  some  inorganic  gases, have  flammability  limits  when
            mixed  with  air.  To burn  these  gases  requires  a  mixture  composition  between  a
            minimum and maximum fuel concentration. The  fuel  concentration from the mini-
            mum to the maximum is the flammability range for the gas. Figure 3.1.1 shows the
            range  for a number  of  gases.  Outside  the  flammability  range,  the  mixture  is  too
            diluted  with  either  air  or  fuel  to  sustain  combustion.  For  example,  when  a  car
            "floods"  and will  not  start,  the gasoline is in excess, and the air-fuel ratio is out-
            side the flammability range. Figure 3.1.1 shows that the flammability range is very
            narrow for gasoline.  We can obtain the flammability  limits for many more chemi-
            cals  from  the  Chemical  Engineering  Handbook  [7]  and  chemical  manufacturers.
            Usually, the wider the flammability range, the  more unsafe  the  gas  is.  Other  fac-
            tors influence the manageability of a gas, such as the minimum energy required to
            ignite  an  air-gas  mixture.  Thus,  for a  gas  to burn,  the  air-gas  mixture  must  be
            within the flammable range and must have an ignition source. The  source, such as
            a flame, a spark or a hot metal,  must be capable of supplying sufficient  energy for
            ignition. A good rule to follow  is that if a gas is within the flamability range, igni-
            tion is inevitable,  and if repairing a tank requires welding, a welder's torch is cer-
            tainly sufficient.
                 If a vessel contained a flammable  gas  or if it  will contain a flammable  gas,
            then we must purge the vessel with a gas. Purging  is dilution of  a flammable  gas







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