Page 112 - DJJ20063- Thermodynamics 1
P. 112

DJJ20063- Thermodynamics 1



                      Note that on a p-V diagram, the area under the process line represents the amount of

                      work transfer. From Figure 3.2.3-5



                              W = area of the shaded rectangle
                                  = height x width

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



                      This expression is identical to equation 3.21


                      Heat transfer:

                      Applying the non flow energy equation


                              Q – W = U2 – U1



                      or             Q = (U2 – U1) + W                                                                    (3.22)


                      Thus part of the heat supplied is converted into work and the remainder is utilized in

                      increasing the internal energy of the system.



                      Substituting for W in equation 3.22


                              Q = (U2 – U1) + p(V2 – V1)

                                  = U2 – U1  + p2 V2 – p1 V1      (since p2 = p1 )

                                  = (U2 + p2 V2) – (U1 + p1 V1)


                      Now, we know that h = u + pv or H = U + pV

                      Hence


                              Q = H2 – H1          (larger H – smaller H)                                    (3.23)






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