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One of the assumptions of the kinetic molecular theory is that the volume of a gas particle is...

Question:

One of the assumptions of the kinetic molecular theory is that the volume of a gas particle is negligible. If this were the case, the ratio of the number of collisions of gas particles with the walls of the container compared to the number of collisions a given gas particle experiences with other gas particles should be quite high. Determine the volume of a cube (in L) filled with helium such that the ratio of the number of collisions of helium atoms with the container walls to the number of intermolecular collisions for a given helium atom is 1 quintillion (1 quintillion = {eq}1.00\times {{10}^{18}} {/eq}). The atomic radius of helium is {eq}3.2\times {{10}^{-11}} {/eq} m.

Kinetic Molecular Theory:

Kinetic Molecular Theory explains the composition and behavior of ideal gas molecules. There are five postulates regarding the kinetic theory of gases. They are related to the movement, volume, intermolecular forces, collisions, and kinetic energy of the ideal gases.

Answer and Explanation: 1

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Given data

  • The atomic radius of helium, {eq}{{\rm{r}}_{{\rm{He}}}} = 3.2 \times {10^{ - 11}}\;{\rm{m}} {/eq}
  • The ratio of the number of collisions...

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Kinetic Molecular Theory of Gases | Properties & Examples

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Chapter 7 / Lesson 1
20K

Learn what the properties of gases are and discover the kinetic molecular theory of gases. Understand the characteristics of ideal gases and know examples of the properties of gases.


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