Kinetic Theory of Gases
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Questions and Answers

What is the condition for a planet or satellite to have an atmosphere?

  • v rms = v e
  • v rms is independent of v e
  • v rms < v e (correct)
  • v rms > v e

    • What is the most probable speed of gas molecules in a given sample?

  • The average speed of all molecules
  • The speed of the fastest molecule
  • The speed of the slowest molecule
  • The speed possessed by the maximum number of molecules (correct)

    • At absolute zero temperature, what is the value of rms speed of molecules?

  • Minimum
  • Undefined
  • Zero (correct)
  • Maximum

    • What is the relationship between the rms speed, average speed, and most probable speed of gas molecules?

    <p>vrms &gt; vav &gt; vmp</p> Signup and view all the answers

    What is the formula to calculate the average speed of gas molecules?

    <p>vav = (v1 + v2 +... + vN)/N</p> Signup and view all the answers

    What is the effect of increasing molecular weight on the root mean square velocity of gas molecules?

    <p>It decreases the root mean square velocity</p> Signup and view all the answers

    What is the relationship between the root mean square velocity of gas molecules and temperature?

    <p>It is directly proportional to the square root of temperature</p> Signup and view all the answers

    What is the relationship between the kinetic energy of gas molecules and their root mean square velocity?

    <p>The kinetic energy is directly proportional to the square of the root mean square velocity</p> Signup and view all the answers

    What is the effect of increasing pressure on the root mean square velocity of gas molecules, if the temperature remains constant?

    <p>It does not affect the root mean square velocity</p> Signup and view all the answers

    Why does the Moon have no atmosphere?

    <p>Because the root mean square velocity of gas molecules is more than the escape velocity</p> Signup and view all the answers

    What is the effect of temperature on the root mean square velocity of molecules?

    <p>It increases the velocity</p> Signup and view all the answers

    At absolute zero degree temperature, what is the state of gas molecules?

    <p>They have zero kinetic energy but possess potential energy</p> Signup and view all the answers

    What is the relationship between the root mean square velocity of molecules and the temperature?

    <p>vrms ∝ √T</p> Signup and view all the answers

    When the temperature is increased from 27°C to 127°C, what is the effect on the root mean square velocity of molecules?

    <p>It increases by a factor of 2</p> Signup and view all the answers

    What is true about the root mean square velocity of different ideal gases maintained at the same temperature?

    <p>They have the same root mean square velocity</p> Signup and view all the answers

    What is the relationship between the kinetic energy of gas molecules and their root mean square velocity?

    <p>The kinetic energy is directly proportional to the square of the rms speed</p> Signup and view all the answers

    If the molecular weight of a gas is increased, what is the effect on the root mean square velocity of its molecules?

    <p>The rms speed decreases</p> Signup and view all the answers

    At the same temperature, what is the relationship between the number of molecules of two different gases?

    <p>The number of molecules is the same</p> Signup and view all the answers

    What is the unit of Avogadro's number?

    <p>per gm mole</p> Signup and view all the answers

    At S.T.P., what is the volume occupied by one mole of any gas?

    <p>22.4 litre</p> Signup and view all the answers

    What is the unit of universal gas constant (R) in terms of MLB⁻²θ⁻¹?

    <p>Joule mole⁻¹ kelvin⁻¹</p> Signup and view all the answers

    If the temperature of an ideal gas is increased, what happens to the root mean square velocity of the gas molecules?

    <p>It increases</p> Signup and view all the answers

    What is the relation between Boltzmann's constant (k) and universal gas constant (R) in terms of Avogadro number (NA)?

    <p>k = R / NA</p> Signup and view all the answers

    How does the molecular weight of an ideal gas affect its root mean square velocity at a given temperature?

    <p>It decreases with molecular weight</p> Signup and view all the answers

    What is the unit of specific gas constant (r) in terms of MLB⁻²θ⁻¹?

    <p>Joule per kilogram per kelvin</p> Signup and view all the answers

    What is the relationship between the molar gas constant R and the Boltzmann constant k?

    <p>R = 3k/2</p> Signup and view all the answers

    At standard temperature and pressure, what is the number of molecules in 1 cm³ of a gas?

    <p>6.02 × 10^22 / 22400</p> Signup and view all the answers

    What is the formula for the average kinetic energy per molecule of a gas at temperature T?

    <p>3RT/2</p> Signup and view all the answers

    What is the effect of increasing the molecular weight of a gas on its root mean square velocity at constant temperature?

    <p>The root mean square velocity decreases.</p> Signup and view all the answers

    What is the relationship between Avogadro's number and the kinetic energy per molecule of a gas?

    <p>NA = RT / (2E)</p> Signup and view all the answers

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