PV and TS Diagrams
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A system of a cylinder and a piston has the shape of the diagram below when the temperature of the gas inside the cylinder is 300β and its pressure is 200πΎππ. The piston has a mass of 50 ππ and its radius is . 06 π and pushes against a set of stops at initial condition so that the height of the cylinder is 80 ππ. The temperature outside the cylinder is 30β and the pressure is 1 ππ‘π. The cylinder cools down by exchanging heat with the environment.
a. Draw a free body diagram of the piston.
b. At what temperature and pressure does the piston start to move down?
c. How far has the piston dropped when the temperature inside the cylinder reaches the temperature outside the cylinder? (assume the piston moves down with a constant velocity)
d. Draw the PV-Diagram and TS-diagram for the gas to get to the point described in part c.