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Why 1 liter * atm = 101.33 joules ?

  1. Dec 14, 2016 #1
    Hi !! I have been searching but i am not able to find out that is there any reason behind , why 1 liter * atm = 101.33 joules ?
     
  2. jcsd
  3. Dec 14, 2016 #2

    Nugatory

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    Staff: Mentor

    Are you asking why it comes out equal to 101.33 Joules, or why a pressure (atm) time a volume (liter) gives an energy (joules)?
     
  4. Dec 15, 2016 #3
    I am asking that why it is equal to 101.33 joules any logical reason or just a constant ?
     
  5. Dec 15, 2016 #4

    Daniel Hendriks

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    Gold Member

  6. Dec 15, 2016 #5
  7. Dec 16, 2016 #6
    Even though this is not wrong, is just shifting the question to why 8.31 J equals 0.082 L*atm.
    You could just go directly to change the units for pressure and volume to SI units and get the answer.
    ## 1 atm =1.01 \times 10^5 N/m^2 ##
    ## 1L =10^{-3} m^3 ##
    So
    ## 1 atm \times 1L = 101 N \cdot m ## or 101 J
     
  8. Dec 17, 2016 #7

    CWatters

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    Science Advisor
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    +1

    Consider a piston of area A moving in a cylinder with constant pressure...

    Work = Force * displacement ............ (1)

    Pressure = Force/Area
    so
    Force = Pressure * Area ....................(2)

    sub for force in (1) gives...
    Work = Pressure * Area * displacement ..............(3)

    then recognise that
    ΔVolume = Area * displacement

    so
    Work = Pressure * ΔVolume
     
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