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science_world
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The kinetic theory of gas state that p=(1/3)(N)(m)(u^2)/(V).
In one step of its derivative related to change of momentum and force given to the wall (Refer to Cubic Container and molecule movement in x,y,z axes in attachment), the equation is given by:
change in momentum / time = force
delta(p) / (2L/u) = F
2mc / (2L/u) = F
(m)(u^2) / (L) = F
*L= length of cube
m = mass of one molecule
u = velocity of one molecule in x axis
This equation assume that "time" means [time taken for the molecule to move from one side of cube to the other side and back to the first side (2L= distance traveled)] divided by [velocity of molecule = u].
I think this is a wrong assumptions. Time for rate of momentum change actually means the time in which the force take to change the momentum of a particle. This means time in the above equations should be [time when force by wall change the momentum of particle, in other words the collision time] not [time taken to move from one side to another side].
Someone please do explain this. Thank you.
Picture in attachment by Ensmilvideo as seen in Youtube.com
In one step of its derivative related to change of momentum and force given to the wall (Refer to Cubic Container and molecule movement in x,y,z axes in attachment), the equation is given by:
change in momentum / time = force
delta(p) / (2L/u) = F
2mc / (2L/u) = F
(m)(u^2) / (L) = F
*L= length of cube
m = mass of one molecule
u = velocity of one molecule in x axis
This equation assume that "time" means [time taken for the molecule to move from one side of cube to the other side and back to the first side (2L= distance traveled)] divided by [velocity of molecule = u].
I think this is a wrong assumptions. Time for rate of momentum change actually means the time in which the force take to change the momentum of a particle. This means time in the above equations should be [time when force by wall change the momentum of particle, in other words the collision time] not [time taken to move from one side to another side].
Someone please do explain this. Thank you.
Picture in attachment by Ensmilvideo as seen in Youtube.com