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Gas leaks from a container

  1. Dec 28, 2014 #1
    1. The problem statement, all variables and given/known data
    Into a 56[liter] container oxigen is filled in with manometric pressure of 4[atm] and temp' 470C. what is the mass.
    Then a leak happens and the pressure drops to 3.5[atm] and temp' 270C.
    How much oxigen escaped.

    2. Relevant equations
    $$PV=nRT$$
    $$R\left[\frac{liter\cdot atm'}{mole\cdot ^0K}\right]=0.08208$$
    Atomic number O2=16

    3. The attempt at a solution
    The initial conditions: ##3[atm]\cdot 56[liter]=n\cdot 0.08208\cdot 320^0K\rightarrow n=6.4[mole]##
    $$m=6.4\cdot 16=102.3[gr]$$
    Second stage:
    $$\frac{P_1V_1}{n_1T_1}=\frac{P_2V_2}{n_2T_2}\rightarrow\frac{P_1V_1}{m_1T_1}=\frac{P_2V_2}{m_2T_2}$$
    Our volume is fixed, so: ##\frac{3}{102.3\cdot 320}=\frac{2.5}{m_2\cdot 300}\rightarrow m_2=90.97[gr]##
    Is it correct?
     
  2. jcsd
  3. Dec 28, 2014 #2

    ehild

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    Why did you calculate with 3 atm?
    And the oxygen gas consists of O2 molecules. The atomic mass of oxygen is 16 g, but you have to work with the molar mass.
     
  4. Dec 28, 2014 #3
    manometric pressure is the pressure above atmospheric, right? so i have to take absolute pressures, it's then 5 atm.
    And the molar mass is 32[gr]
    $$5[atm]\cdot 56[liter]=n\cdot 0.08208\cdot 320^0K\rightarrow n=10.7[mole]$$
    $$m=10.7\cdot 32=341.1[gr]$$
     
  5. Dec 28, 2014 #4

    ehild

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    I know pressure above atmospheric as "gauge pressure". You have to know what manometric pressure is. I never heard that.
     
  6. Dec 28, 2014 #5
    Yes, it's gauge pressure
     
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