Kinetic Theory

  • Question 1
    CBSEENPH110024919

    State Boyle's Law?

    Solution

    Boyle’s Law : Temperature remaining constant the volume of a given mass of dry gas is inversely proportional to its pressure.

    V α1p=T=Constant

    Question 2
    CBSEENPH110024921

    Calculate the degrees of freedom for monoatomic, diatomic and triatomic gas?

    Solution

    The degrees of freedom of the system is given by:- f=3 N-K

    where f = degrees of freedom

    N = Number of Particles in the system.

    K = Independent relation among the particles.

    Question 3
    CBSEENPH110024922

    what do you mean by mean free path and write the formula?

    Solution

    In kinetic theory the mean free path of a particle, such as a molecule, is the average distance the particle travels between collisions with other moving particles. The formula still holds for a particle with a high velocity relative to the velocities of an ensemble of identical particles with random locations.

     
    Question 4
    CBSEENPH11020378

    The speed of sound in oxygen (O2) at a certain temperature is 460 ms−1. The speed of sound in helium (He) at the same temperature will be (assumed both gases to be ideal)

    • 1420 ms−1

    • 550 ms−1

    • 375 ms−1

    • 650  ms−1

    Solution

    A.

    1420 ms−1

    straight v equals space square root of fraction numerator straight gamma space RT over denominator straight M end fraction end root
fraction numerator straight V subscript 1 over denominator space straight V subscript 2 end fraction space equals space square root of fraction numerator straight gamma subscript 1 straight M subscript 2 over denominator straight gamma subscript 2 straight M subscript 1 end fraction end root space equals space square root of fraction numerator begin display style 7 over 5 end style straight x 4 over denominator begin display style 5 over 3 end style straight x 32 end fraction end root
460 over straight V subscript 2 space equals space square root of fraction numerator 21 over denominator 25 space straight x 8 end fraction end root
rightwards double arrow space straight v subscript 2 space space equals space fraction numerator 460 space straight x space 5 space straight x space 2 square root of 2 over denominator square root of 21 end fraction space equals 1420 space ms to the power of negative 1 end exponent

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