Page 53 - DJJ20063- Thermodynamics 1
P. 53

DJJ20063- Thermodynamics 1



                      There are two methods of interpolation:

                      i.      single interpolation

                      ii.     double interpolation


                      i.      Single interpolation

                      Single interpolation is used to find the values in the table when one of the values is not

                      tabulated.  For  example,  to  find  the  saturation  temperature,  specific  volume,  internal

                      energy  and  enthalpy  of  dry  saturated  steam  at  77  bar,  it  is  necessary  to  interpolate
                      between the values given in the table.



                      Example 2.6


                         Determine the saturation temperature at 77 bar.




                      Solution to Example 2.6

                      The values of saturation temperature at a pressure of 77 bars are not tabulated in the
                      Steam  Tables.    So,  we  need  to  interpolate  between  the  two  nearest  values  that  are

                      tabulated in the Steam Tables.


                                                                  t  −  290  5 .  295 − 290  5 .
                                                                                                              s  =
                                P                                  77 −  75     80 −  75


                               80
                                                                   t  −  290  5 .  295 −  290  5 .
                                                                                                               s  =
                               77
                                                                       2            5
                               75


                                                                            t  =  2 ( 5.4  )  +  290  5 .
                                                                ts          s    5
                                    290.5  ts      295
                                                                                     o
                                                                                                                              ts  = 292.3  C









                                                                                                 44 | P a g e
   48   49   50   51   52   53   54   55   56   57   58