How do I calculate the potential energy in a pipe with 7 bar air pressure and a volume of 2000 litres? - energy 2000
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Tuesday, January 5, 2010
Energy 2000 How Do I Calculate The Potential Energy In A Pipe With 7 Bar Air Pressure And A Volume Of 2000 Litres?
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The potential energy into the discharge tube is equal to
* = Volume of liquid in pressurized
Given
2000liters Volume = x (1 cubic meter) / 1000Liter
= 2cu.m
Pressure 7 bar = 700,000 N / m ^ 2 (1 bar = 1N / m ^ 2)
Potential energy = (700,000 N / m ^ 2) * (2 m ^ 3)
= 1400 kilo-joules kN.mo
Assuming air is an ideal gas and the ambient temperature and pressure remain constant. We also assume that the pressure of 7 bar is in the air.
Energy, which expands into a gas-piston;
DW = PdV
If DW is the work done (energy), the pressure P dV is the change in volume.
On the one hand, we can assume that, like a piston using cap perfect end to a perfect cylinder, and the energy of the gas (which makes many assumptions that make meaningful the results) on the other side may be more useful, then consider Some of the stored energy can be transferred to the CAP. Think of a pipe with a diameter of 5 cm with a lid, 2.5 cm in depth. 1 bar is 1.02 N / cm ^ 2 at 7 bar is 7.14 N / cm ^ 2
The GAP area is pi * r ^ 2 = 3.14 * (2.5 ^ 2) = 19,625 cm ^ 2
The force on the CAP 19625 * 1.02 = 20.0175N
This means that an increase in the volume of the CAP on the sale of the above (before it is complete) is small compared to the rest of the volume of the tube. This allows us to accept it, that the same pressure leads that) in the womb, such as films (increasing the total volume in a small amount.
This means a metal cap (say) 20 grams of speed in order to determine a sentence with (F = ma).
a = F / M = 20 / (20 * 10 ^ -2) = 1000 m / s ^ 2
Its top speed is the product of the depth of the CAP (2.5 * 10 ^ -2) and acceleration (1000 m / s ^ 2), the potential launch velocity of 25 m / s (there were 56 mph).
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