Kinetic Theory of Gases Quiz
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Questions and Answers

The average distance covered by a molecule between two successive collisions is called the ______.

mean free path

Two phenomena that provide evidence of molecular motion are diffusion and ______.

Brownian motion

Avogadro's hypothesis states that the number of molecules in 22.4 litres of any gas is ______.

6.02 x 10^23

A real gas behaves like an ideal gas at low ______ and high temperature.

<p>pressure</p> Signup and view all the answers

Boyle's law states that pressure (P) is inversely proportional to volume (V) at constant ______.

<p>temperature</p> Signup and view all the answers

Charles law states that at constant pressure (P), volume (V) is directly proportional to temperature (T) on the ______ scale.

<p>Kelvin</p> Signup and view all the answers

Dalton's law of partial pressures states that the total pressure of a mixture of gases is the sum of their ______ pressures.

<p>partial</p> Signup and view all the answers

In kinetic theory, the universal gas constant R is the same for ______ gases.

<p>different</p> Signup and view all the answers

The formula for mean free path is T = ______, where d is the diameter of the molecule.

<p>1/(sqrt(2πd^2))</p> Signup and view all the answers

According to the equation n = PV/RT, 'n' represents the number of ______.

<p>moles</p> Signup and view all the answers

Study Notes

Mean Free Path

  • The mean free path is the average distance a molecule travels between collisions.
  • Formula: T = 1 / √(2πnd2)
    • Where n is the number density and d is the molecule's diameter

Molecular Motion Evidence

  • Two key phenomena demonstrating molecular motion are:
    • Diffusion
    • Brownian motion

Avogadro's Hypothesis

  • Kinetic theory supports Avogadro's hypothesis by showing that the number of molecules per unit volume (or the number of moles) is the same for all gases at the same conditions of pressure, volume and temperature.
  • This is because the universal gas constant (R) is the same for all gases, and from the ideal gas law: n = PV/RT.

Real Gas vs. Ideal Gas Behavior

  • Real gases behave like ideal gases at low pressures and high temperatures.
  • This is because when pressure is low, molecules are further apart and thus interactions between them are minimized. Similarly, when temperature is high the molecules move faster, making their interactions less significant.

Boyle's Law

  • At constant temperature, the pressure of a gas is inversely proportional to its volume.
  • Formula: P ∝ 1/V (or) PV = Constant

Charles's Law

  • At constant pressure, the volume of a gas is directly proportional to its Kelvin temperature.
  • Formula: V ∝ T (or) V/T = Constant

Dalton's Law of Partial Pressures

  • The total pressure of a mixture of ideal gases is equal to the sum of the partial pressures of the individual gases.
  • Formula: P = P1 + P2 + P3 + ...

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Description

Test your understanding of the kinetic theory of gases, including concepts like mean free path, molecular motion, and Avogadro's hypothesis. This quiz will challenge your knowledge of both ideal and real gas behaviors under various conditions.

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