Chem_215_Lecture_5_C - The Kinetic Theory of Gases What is the average KE of an ideal gas atom at temperature T Area of Wall = A v x vx Consider

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Area of Wall = A Consider gas atoms, each of mass m, in a container. How much momentum is transferred to the wall for one collision? Atoms can collide with the wall of area A. v x = Initial component of velocity v in x direction. mv x = Initial component of momentum along x axis. Atom undergoes elastic collision with wall. After collision, component of momentum along x axis = -mv x The magnitude of the momentum change upon collision = 2mv x The Kinetic Theory of Gases: What is the average KE of an ideal gas atom at temperature T? v v x x
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How many collisions with wall Will occur during time interval Δ t? N atoms in container. Volume = V Atom with velocity v x will travel distance d x = v x Δ t in time interval Δ t To hit wall, atom must be initially located within this distance from wall. All particles in volume Av x Δ t will hit wall if they are moving towards it. Fraction atoms in volume V that hit wall in interval Δ t: Assume a total of N atoms in volume V Total number of atoms to hit wall in time interval Δ t is: V t v A Fraction x Δ = V t v A N x Δ Area A
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This note was uploaded on 09/10/2008 for the course CHEM 1732 taught by Professor Davis during the Fall '08 term at Cornell University (Engineering School).

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Chem_215_Lecture_5_C - The Kinetic Theory of Gases What is the average KE of an ideal gas atom at temperature T Area of Wall = A v x vx Consider

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