Pressure of an ideal gas

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  • Created by: boggleme
  • Created on: 03-12-14 16:29
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  • Pressure
    • In a box...
      • If particle velocities increase, the force at which they hit the wall at increases so pressure increases
      • If the number of particles increases, the total force acting on the wall per second increases so pressure increases
      • If volume decreases then the particles have less distance to travel before they collide with the wall again. The total force increases so pressure increases
      • Particles travel in random directions but for simplicity it can be said that a third of all particles are travelling in any one dimension (x, y, z)
    • pV=Nm*mean square speed/3
    • root mean square speed is the speed of an average particle
    • Assuming...
      • gas contains a large number of particles
      • particles move rapidly and randomly
      • motion of particles follow Newton's laws
      • collisions are perfectly elastic (no energy or momentum is lost)
      • no attractive forces between particles
      • any forces during collisions are instantaneous
      • particles have a negligible volume compared to that of the container
    • random walk assumes all particles start somewhere, move N steps in random directions and ends up somewhere else
      • distance moved = the root of the number of steps taken

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