Intro: when an engine runs, it pumps pistons that move up and down and provide energy to the engine to it to go. These pistons move because of pressure and heat. This work done on the system is not only mechanical but its also thermodynamic. When a piston undergoes one full cycle its displacement is zero because it comes back to its resting place. This means that its net thermodynamic work to be done should also be zero, as well as its total internal energy. In order to test this experiment is setup with the purpose of verifying that the mechanical work done in lifting a mass, m, through a vertical distance, h, is equal to the net thermal dynamic work done during a cycle by a mass lifting the heat engine. If we calculate the values for thermodynamic work and mechanical work they should be the same. Once these values are calculated they will be compared to each other and the conclusion will be drawn.
Analysis:
Once the results were printed, some values had to be calculated and compared to one another. The first value needed was the Thermodynamic Work on the system which was founded by the equation: With=(pi(d^2))/4*(Pb-Pa)*(hc-hb). Where d was given to be 32.5mm, Pb and Pa where the pressures at the points B and A measured in kPA, and hb and hc are the heights of the piston at point B and C. This comes out to be: Wth= 1.37E^-2J. Next, the mechanical work had to be calculated using the equation: Wm= mgh. Where m is the mass in kg, g is the acceleration due to gravity, and h is the change in height from B to C. This comes out to be: Wm= 1.47E^-2J. When compared together these values should be identical because a joule is a joule is a joule and the values shouldn’t change. These reigns true with this experiment because of how close these values truly are to each other.
Questions:
1). The temperatures do change from B to C and from D to A
2). Yes there is thermodynamic work done from B to C which is positive, and from D to A which is