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Homework Help: Macro/ micro connections- pressure

  1. Apr 5, 2017 #1
    1. The problem statement, all variables and given/known data
    A 1.3m×1.3m×1.3m cube of nitrogen gas is at 20∘C and 1.5 atm. Estimate the number of molecules in the cube with a speed between 700 m/s and 1000 m/s.

    2. Relevant equations
    P= (1/3) (N/V) (Mv2rms)

    3. The attempt at a solution
    20oc = 293 K
    1.5 atm = 151950 Pa

    Solving for N
    N= 3PV/(mv2rms)

    N= 3(151950)(2.197) / (28 x 12202)
    N= 0.024 Molecules ?
    This doesn't seem right?
  2. jcsd
  3. Apr 6, 2017 #2


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    Science Advisor
    Homework Helper
    Gold Member

    It looks like you need to use the Maxwell- Boltzmann distribution for this.
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