A 700 kg piston is initially held in place by a removable latch above a vertical cylinder. The cylinder has an area of 0.1 m^2; the volume of the gas within the cylinder initially is 0.1 m^3 at a pressure of 10 bar. The working fluid may be assumed to obey the ideal gas equation of state. The cylinder has a total volume of 0.25 m^3, and the top end is open to the surrounding atmosphere at 1 bar
Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
I have a problem that asks me the following.
"What will be the maximum height to which the piston will rise?"
Note that this is a problem that comes after these statements:
"A 700 kg piston is initially held in place by a removable latch above a vertical cylinder. The cylinder has an area of 0.1 m^2; the volume of the gas within the cylinder initially is 0.1 m^3 at a pressure of 10 bar. The working fluid may be assumed to obey the ideal gas equation of state. The cylinder has a total volume of 0.25 m^3, and the top end is open to the surrounding atmosphere at 1 bar."
I was able to solve for the velocity to be 13.77 m/s according to this part of the problem: "Assume that the frictionless piston rises in the cylinder when the latches are removed and the gas within the cylinder is always kept at the same temperature. This seems like an odd assumption, but it provides an approximate result that is relatively easy to obtain. What will be the velocity of the piston as it leaves the cylinder?"
How do I solve for the max height asked above? Also, how do I approach thist question, "What is the pressure behind the piston just before it leaves the cylinder?"
I apologize for writing a lot as this is a detailed question.
Given that:
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