The piston-cylinder system shown in the figure contains water at 1 MPa and 300°C, and secured by a pin initially. Spring at this first state is unloaded. Density of the piston material is 5000 kg/m3 , atmospheric pressure is 95 kPa and gravitational acceleration is 9.8 m/s2 . a) What is the state of water, and its mass at this state? Now, the pin is removed and piston is free to move. When the equilibrium is reached, volume of water is doubled. During this process, assume piston-cylinder system is isothermal. b) What is the pressure at this second state? c) What is the spring constant in N/m? Finally, the piston-cylinder system is cooled down so that the piston can be secured back again using the pin (i.e., returns to its initial position.)
The piston-cylinder system shown in the figure contains water at 1 MPa and 300°C,
and secured by a pin initially. Spring at this first state is unloaded. Density of the piston material
is 5000 kg/m3
, atmospheric pressure is 95 kPa and gravitational acceleration is 9.8 m/s2
. a) What
is the state of water, and its mass at this state? Now, the pin is removed and piston is free to
move. When the equilibrium is reached, volume of water is doubled. During this process, assume
piston-cylinder system is isothermal. b) What is the pressure at this second state? c) What is the
spring constant in N/m? Finally, the piston-cylinder system is cooled down so that the piston can
be secured back again using the pin (i.e., returns to its initial position.) d) What is the pressure
and temperature at this third state, find the quality of water if applicable? e) Draw the whole
process in a P-v diagram, clearly indicate the direction of each process and label each stat
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