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Homework Help: Volume of a Gas

  1. May 6, 2010 #1
    1. The problem statement, all variables and given/known data
    A gas obeys the ideal-gas equation of state PV = NkT , where N = nNA is the number of molecules in the volume V at pressure P and temperature T and n is the number of g moles of the gas.
    Calculate the volume (in L) occupied by 1 g mole of the gas at atmospheric pressure and a temperature of 356.2K

    1 atm = 1.013 × 105 N/m2
    Avogadro’s constant is 6.02214 × 1023
    k = 1.38065 × 10-23 Nm/K.

    2. Relevant equations

    P V = N k T
    = n NA * k T

    3. The attempt at a solution
    I tried working it, but the answer I come up with is wrong. Can someone point me in the right direction?

    (1.013 x 105 Nm/K)( V ) = (1 x 10-3 kg)(1.38065x10-23 Nm/K)(6.02214 x1023)(356.2 K)

    V = 2.92 x10-5 m3
    = 2.92 x10-2 L
     
  2. jcsd
  3. May 6, 2010 #2
    Well, I reworked the problem and found my mistake. I got this to work out right:
    (1.013x10^5)(V)=(356.2)(6.02214x10^23)(1.38065x10^-23)
    V=.029236 m^3
    V=29.236 L
     
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