What is the root mean square speed of an As4 particle as it is sublimed? (Assume at high temperatures arsenic acts like an ideal gas; the Bo

Question

What is the root mean square speed of an As4 particle as it is sublimed? (Assume at high temperatures arsenic acts like an ideal gas; the Boltzmann constant, kB, can be approximated as 1.4 x 10-23 J∙K-1) and the kinetic energy of the gas is equal to 3/2kB T

in progress 0
Amity 5 months 2021-08-04T12:01:44+00:00 1 Answers 26 views 0

Answers ( )

    1
    2021-08-04T12:02:47+00:00

    Answer: v_{rms} = 273m/s

    Explanation: Root Mean Square Speed of an atom or molecule is the speed of a particle in a gas. It is the average speed a particle in a gas can have.

    It can be calculated:

    \frac{1}{2}mv^{2} = \frac{3}{2} k_{B}T

    v^{2} = \frac{3k_{B}T}{m}

    v = \sqrt{\frac{3k_{B}T}{m}}

    m is mass of one atom or molecule in kg.

    An atom of Arsenic sublimes at 614°C. Converting to Kelvin:

    T = 614 + 273 = 887K

    Molecular mass of As4 is approximately 0.3kg.

    m = \frac{0.3}{6.10^{23}}

    m=5.10^{-25}kg

    Calculating Root mean square speed :

    v = \sqrt{\frac{3*1.4.10^{-23}*887}{5.10^{-25}}

    v = \sqrt{745.08.10^{2}

    v = 273m/s

    The root mean square speed of As4 is approximately 273m/s.

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )