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Calculate discharge in L/s and Kg/s

  1. May 29, 2016 #1
    1. The problem statement, all variables and given/known data
    A tank contains oil with a specific gravity of 0.80, which is discharged through a 30mm diameter pipe at 12m/s. Calculate the discharge in L/s and Kg/s.

    2. Relevant equations
    specific gravity=density of oil/density of water
    mass flow rate=volume flow rate*density
    volume flow rate=velocity*area

    3. The attempt at a solution
    Density=(0.8*1000)=800 kg/m^3
    Area=pi(0.015)^2=7.068583471*10^-4
    Q=12*7.068583471*10^-4=8.482300165*10^-3
    m=8.482300165*10^-3*800=6.785840132 kg/s

    Shouldn't L/s be the same since 1L=1Kg?
     
  2. jcsd
  3. May 29, 2016 #2

    Merlin3189

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    Gold Member

    No. 1 L = 0.8 kg for this oil. Water has a density of 1 kg per litre. (All approximate.)
     
  4. May 29, 2016 #3
    So the answer is 6.785840132 Kg/s and 8.482300165 L/s?
     
  5. May 29, 2016 #4

    Merlin3189

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    Gold Member

    Yes.
    But I would round these numbers to something sensible, like 2 sf. depending on the question's request. Since all the measurements are given to only 2 sf, you can hardly get a more accurate answer. If the question specifies that they are accurate to more figures, like RD = 0.8000 and pipe is 30.00mm and flow is 12.00 m/s even though these extra figures are not shown, then a more accurate answer would be appropriate.
     
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