physics

posted by .

A sealed container contains 1 mole of neon gas at STP. Estimate the number of neon atoms having speeds in the range from 200 m/s to 202 m/s. (Hint: Assume the probability of neon atoms having speeds between 200 m/s and 202 m/s is constant).

  • physics -

    STP - Standard Temperature and Pressure - is 273 and 105 Pa
    Maxwell distribution for the relative velocities is
    ΔN/N = 4/sqrt(π)•(1/e^(u^2))•u^2•Δu,
    v1 = 200m/s, v2 =202 m/s, Δv =202-200 = 2m/s.
    The most probable velocity
    v(pr) = sqrt(2RT/M) = sqrt(2•8.31•273/20•10^-3) = 476.3 m/s.
    The relative velocity is
    u = v1/v(pr) = 200/476.3 = 0.42,
    u^2 = 0.176,
    1/e^(u^2)) = 0.838
    Δu = Δv/v(pr) = 2/476.3 = 4.2•10^-3.
    ΔN/N = 4/sqrt(π)•0.838•0.176•4.2•10^-3 =1.4•10^-3 = 0.0014.
    Therefore. 1,4% of the neon atoms have the velocities of 200 – 202 m/s or their absolute number in 1 mole is
    ΔN = N•0.0014 = 6.022•10^23•0.0014 = 8.42•10^20

  • physics -

    This looked a little sloppy imo... Here's my example

    1. Find most probably velocity of Krypton
    v = √[(2*8.314J/K*273K)/(0.083798 kg)] = 237.75 m/s

    Find the ratio of each velocity
    205/237.75 = .8808 The average is .8851
    207/237.75 = .8894

    Find the ratio of change in velocities 207-205
    2/237.75 = 0.008593

    Then: Find the probability!
    6.022e23 molecules * 5 mol * .8851 * 0.008593 = 2.29e22

    I just did a problem like this... These are my numbers, but the work is a lot more simple

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. chem

    The diameter of a neutral neon atom is about 1.4 multiplied by 102 pm. Suppose that we could line up neon atoms side by side in contact with one another. Approximately how many neon atoms would it take to make the distance from end …
  2. Chem

    One of my questions asks me to find the volume of neon gas. I thought neon didn't attach with other atoms because it had a full valence shell, how would it form into a gas?
  3. Chemistry

    Consider a sample of helium and a sample of neon, both at 30ºC and 1.5atm. Both samples have a volume of 5.0 liters. Which statement concerning these samples is not true?
  4. chemistry

    a sample containing 1.50 mol neon gas has a volume of 8.00L.what is the new volume of the gas in liters when the following changes occur in the quantity of the gas at constant pressure and temperature?
  5. gas laws chemistry

    A neon sign is made of glass tubing with an inside diameter of 12.7 mm and length of 16.0 m. If the sign contains neon at a pressure of 7.56 torr at 33°C, how much neon is in the sign?
  6. physics

    A sealed container contains 1 mole of neon gas at STP. Estimate the number of neon atoms having speeds in the range from 200 m/s to 202 m/s. (Hint: Assume the probability of neon atoms having speeds between 200 m/s and 202 m/s is constant).
  7. chemistry

    a real gas is introduced to a flask of volume v. is the corrected volume of the gas greater or less than V?
  8. physics

    How much positive charge is in 0.8 kg of neon?
  9. chemistry

    The diameter of a neutral neon atom is about 1.4 ✕ 10^2 pm. Suppose that we could line up neon atoms side by side in contact with one another. Approximately how many neon atoms would it take to make the distance from end to …
  10. Chemistry

    Which gas has the greatest kinetic energy?

More Similar Questions