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sadben
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Well this question I've had since high school (first year mech), how would i calculate escape velocity of a gas if i know volume, diameter of the hole, pressure, temprature and mass.
Escape velocity is the minimum velocity required for an object to escape the gravitational pull of a massive body, such as a planet or star. It is important in understanding the dynamics of celestial bodies and space travel.
The formula for calculating escape velocity of a pressurized gas is: v = √(2P/ρ), where v is the escape velocity, P is the pressure of the gas, and ρ is the density of the gas. This formula assumes a spherical body with a constant surface pressure throughout.
The escape velocity of a pressurized gas is affected by the mass and size of the celestial body, as well as the density and pressure of the gas. Changes in any of these factors will alter the escape velocity.
No, according to Einstein's theory of relativity, nothing can travel faster than the speed of light. Therefore, the escape velocity of a pressurized gas cannot exceed the speed of light.
The escape velocity of a pressurized gas is typically lower than that of a solid object with the same mass and size. This is because gases have lower densities and therefore require less energy to escape the gravitational pull of a celestial body.