Pressure and Temperature

Pressure and Temperature - Pressure and Temperature: A...

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Let n moles of an ideal gas be confined to a cubical box of volume V. The molecules in the box move in all directions with varying speeds, colliding with each other and with the walls of the box. Figure 18.1 shows a molecule moving in the box. The molecule will collide with the right wall. The result of the collision is a reversal of the direction of the x-component of the momentum of the molecule: Figure 18.1. Molecule moving in box. The y and z components of the momentum of the molecule are left unchanged. The change in the momentum of the particle is therefore After the molecule is scattered of the right wall, it will collide with the left wall, and finally return to the right wall. The time required to complete this path is given by Each time the molecule collides with the right wall, it will change the momentum of the wall by p. The force exerted on the wall by this molecule can be calculated easily For n moles of gas, the corresponding force is equal to The pressure exerted by the gas is equal to the force per unit area, and therefore
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Pressure and Temperature - Pressure and Temperature: A...

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