Agas is confined in a 0.3m diameter cylinder by a piston, on which rests a weight. the mass of the piston is 85 kg. the local acceleration of gravity is 9.807 m/s, and atmospheric pressure is 101.33 kpa. if the absolute pressure of the gas is 1.4 bar, calculate the mass in kilograms of the weight.

Explanation:

Force applied on the gas will be as follows.

As,   F = pressure × area. Hence, calculate the forces as follows.

                  = pressure × area

                         =

                          = N

                  = pressure × area

                            =

                            = N

      - = N

Substituting the calculated values into the above formula as follows.

              = (m + M) g

              N =    

              N =

                               m = 472.76 kg

Thus, we can conclude that the mass is 472.76 kg.  

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