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

Flashcards

What is the mean free path?

The average distance a molecule travels between two successive collisions.

Name two phenomena that prove molecular motion.

Diffusion and Brownian motion provide conclusive evidence of molecular motion.

How does kinetic theory support Avogadro's hypothesis?

Avogadro's hypothesis states that equal volumes of ideal gases at the same temperature and pressure contain the same number of molecules. It follows that the Avogadro number, the number of molecules in 22.4 liters of any gas, is a constant value.

When does a real gas act ideally?

A real gas behaves like an ideal gas at low pressures and high temperatures.

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State Boyle's law.

Boyle's law states that the pressure of a gas is inversely proportional to its volume at constant temperature. This means that as volume decreases, pressure increases and vice versa.

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State Charles's law.

Charles's law states that the volume of a gas is directly proportional to its absolute temperature at constant pressure. This means that as temperature increases, volume increases and vice versa.

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What is Dalton's law of partial pressures?

Dalton's law of partial pressures states that the total pressure of a mixture of ideal gases is equal to the sum of the partial pressures of each individual gas.

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What is the formula for mean free path?

The mean free path is the average distance a molecule travels between collisions. It's inversely proportional to the number density of molecules (n) and the square of the molecular diameter (d).

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Explain how diffusion and Brownian motion demonstrate molecular motion.

Diffusion is the movement of molecules from a region of higher concentration to a region of lower concentration. Brownian motion is the random movement of particles suspended in a fluid due to collisions with molecules.

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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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