Page 67 - DJJ20063- Thermodynamics 1
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DJJ20063- Thermodynamics 1



                      Example 2.11


                        A quantity of a certain perfect gas is heated at a constant temperature from an initial

                                       3
                                                                                      2
                                                       2

                        state of 0.22 m and 325 kN/m  to a final state of 170 kN/m .  Calculate the final

                        volume of the gas.


                      Solution to Example 2.11

                      From equation P1V1 = P2V2
                                                           2
                                  P              325   kN/m 
                                                            
                      V    = V   x   1  =  (0.22   m 3 )  2   =  0.421   m 3
                                                
                               1
                          2
                                  P 2            170   kN/m  


                      b.  Charles’ Law


                      The Charles’s Law may be stated as follows:

                      Provided the pressure P of a given mass of gas remains constant, then the volume V of

                      the gas will be directly proportional to the absolute temperature T of the gas, i.e.
                      V  T, or V = constant x T.  Therefore V/T = constant, for constant pressure P.



                      If gas changes from state 1 to state 2 during a constant pressure process, then


                                  V 1  =  V 2  =  constant                                             (2.10)
                                  T 1  T 2

                      If the process is represented on a P – V diagram as before, the result will be as shown in

                      Fig. 2.4.2-3

                                         P

                                                 1                2





                                                                             V
                                          0
                                                V1              V2


                                      Figure 2.4.2-3  P-V graph for constant pressure process
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