Physics Chapter: Kinetic Theory and Gas Laws
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Questions and Answers

The mean free path is the average distance covered by a molecule between two successive ______.

True (A)

Diffusion and Brownian motion are examples that provide evidence of molecular ______.

False (B)

Avogadro's hypothesis confirms that the number of molecules in gas varies significantly among different gases.

False (B)

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

<p>False (B)</p> Signup and view all the answers

Boyle's law states that pressure is directly proportional to volume at constant temperature.

<p>False (B)</p> Signup and view all the answers

Charles' law expresses the relationship between volume and temperature of a gas at constant pressure.

<p>True (A)</p> Signup and view all the answers

Dalton's law of partial pressures states that the total pressure of a mixture is less than the sum of partial pressures.

<p>False (B)</p> Signup and view all the answers

The universal gas constant R is different for various gases.

<p>False (B)</p> Signup and view all the answers

The number of molecules in 22.4 liters of any gas is $6.02 imes 10^{23}$, known as Avogadro number.

<p>True (A)</p> Signup and view all the answers

At low pressure and low temperature, a real gas behaves like an ideal gas.

<p>False (B)</p> Signup and view all the answers

Flashcards

Mean Free Path

The average distance a molecule travels between collisions.

Brownian Motion

The random motion of particles suspended in a fluid, caused by collisions with the fluid molecules.

Diffusion

The spreading of one substance into another, driven by the random motion of molecules.

Kinetic Theory of Gases

A model that describes the behavior of ideal gases based on the assumptions that the gas particles are in constant random motion, have negligible volume, and interact only through elastic collisions.

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Avogadro's Hypothesis

Equal volumes of ideal gases at the same temperature and pressure contain the same number of molecules.

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Ideal Gas

A gas that obeys the ideal gas law, which describes the relationship between pressure, volume, temperature, and the number of moles of gas.

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Real Gas

A gas that deviates from the ideal gas law due to intermolecular forces and the volume occupied by the gas particles.

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Boyle's Law

The relationship between the pressure and volume of a gas at constant temperature. As pressure increases, volume decreases proportionally.

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Charles' Law

The relationship between the volume and temperature of a gas at constant pressure. As temperature increases, volume also increases proportionally.

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Dalton's Law of Partial Pressures

The total pressure of a mixture of gases is the sum of the partial pressures of each gas.

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Study Notes

Mean Free Path

  • The mean free path is the average distance a molecule travels between collisions.
  • Formula: τ = 1 / √(2πnd2)
  • Where n is the number density and d is the molecular diameter.

Molecular Motion Evidence

  • Two phenomena demonstrating molecular motion are diffusion and Brownian motion.

Avogadro's Hypothesis

  • Kinetic theory supports Avogadro's hypothesis by showing that the number of molecules in a given volume of different gases is the same at the same pressure and temperature.
  • R (universal gas constant) is the same for all gases
  • This is evidenced from the ideal gas equation (PV/RT = n)

Ideal Gas Behaviour

  • Real gases behave like ideal gases at low pressures and high temperatures.

Boyle's Law

  • Boyle's law states that at constant temperature, the pressure of a fixed mass of gas is inversely proportional to its volume.
  • Formula: P ∝ 1/V (or) PV = constant

Charles's Law

  • Charles's Law states that at constant pressure, the volume of a fixed mass of gas is directly proportional to its absolute temperature (measured in Kelvin).
  • Formula: V ∝ T (or) V/T = constant

Dalton's Law of Partial Pressures

  • Dalton's law states that the total pressure exerted by a mixture of ideal gases is equal to the sum of the partial pressures of the individual gases.
  • Formula: P = P1 + P2 + P3 + ... (where P1, P2, P3, etc. are the partial pressures).

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Description

This quiz covers key concepts from the chapter on kinetic theory and gas laws, including mean free path, Avogadro's hypothesis, and Boyle's and Charles's laws. Test your understanding of how molecular motion affects gas behavior under varying conditions.

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