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Boltzmann constant- temp, pressure

  1. Jan 21, 2012 #1
    1. The problem statement, all variables and given/known data

    A sealed container of volume 0.15 m^3 holds a sample of 5 × 10^1000 atoms of neon gas in equilibrium. The distribution of speeds of the neon atoms shows a peak at 2000 m s^−1.

    (i) Calculate the temperature and pressure of the neon gas. (6 marks)
    (ii) What is the average kinetic energy of the neon atoms? (3 marks)
    (iii) What is the position of the maximum in the energy distribution? (3 marks)

    (Take the mass of each neon atom to be 3.0 amu.)

    2. Relevant equations

    PV=nRT
    PV= NkT

    PV = 1/3 Nm<c^2>

    moles = mass/molar mass

    3. The attempt at a solution

    (i) Calculate the temperature and pressure of the neon gas

    volume 0.15 m^3
    5×10^1000 atoms of neon gas
    speed=2000 m s^−1.
    Pressure=?
    Temperature= ?

    I have written the knowns and unknowns.

    need some help to get this started please.
     
  2. jcsd
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