Page 111 - DJJ20063- Thermodynamics 1
P. 111

DJJ20063- Thermodynamics 1



                      Consider the fluid in the piston cylinder as shown in Figure 3.2.3-5. If the load on the

                      piston is kept constant the pressure will also remain constant.



                      The  general  property  relation  between  the  initial  and  final  states  of  a  perfect  gas  is
                      applied as:



                              p  V    p  V
                                1  1  =  2  2
                               T 1    T 2

                      If the pressure remain constant during the process, p2 = p1 and then the above relation

                      becomes

                              V    V
                               1  =  2
                              T 1  T 2

                      or

                              T    V
                               2  =  2                                                                       (3.20)
                              T 1  V 1



                      From this equation it can be seen that an increase in volume results from an increase in

                      temperature.  In  other  words,  in  constant  pressure  process,  the  temperature  is

                      proportional to the volume.




                      Work transfer:

                      Referring to the process representation on the p-V diagram it is noted that the volume
                      increases during the process. In other words, the fluid expands. This expansion work is

                      given by

                                   2
                              W  =    pdV
                                   1


                                    2
                                   = p   dV       (since p is constant)
                                    1


                                  = p (V2 – V1)      (larger volume – smaller volume)                        (3.21)

                                                                                                102 | P a g e
   106   107   108   109   110   111   112   113   114   115   116