Page 105 - DJJ20063- Thermodynamics 1
P. 105

DJJ20063- Thermodynamics 1



                      From equation 3.14

                                       V   n
                              p =   p 1   1  
                                2
                                       V 2 

                                         1   . 1  15
                                    = 30  x    5 . 8 
                                            
                                       


                                     = 2.56 bar


                      Now,

                                         3
                                                        3
                                                    -6
                              V2 = 510 cm  = 510 x 10  m
                      and,
                              V
                               2  = 8.5
                              V 1

                      Then,

                                   510x 10  6 −
                              V 1  =
                                       5 . 8

                                         -6
                                             3
                                   = 60 x 10  m

                      Work output during polytropic expansion is given by equation 3.17 as:



                                   p  V  − p  V
                              W  =   1  1   2  2     [larger pV- small pV]
                                       n  − 1

                                  ( 30x 10 5 )( 60x 10  6 −  )  . 2 ( −  56x 10 5 )  ( −  510x 10  6 −  )
                                   =
                                                     . 1  15 − 1



                                   = 330 J
                                   = 0.33 kJ










                                                                                                 96 | P a g e
   100   101   102   103   104   105   106   107   108   109   110