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Homework Help: Unit conversion

  1. Jan 3, 2017 #1
    1. The problem statement, all variables and given/known data
    A mercury barometer located in a room at 25°C has a height of 750 mm. What is the atmospheric pressure in kPa?

    2. Relevant equations
    Patm = ρ*g*H0

    3. The attempt at a solution

    My question pertains to the units and how it ends up as kPa in the book. I have no problem with the calculations, just the unit conversion.

    ρ*g*H0 = (13580 kg/m3) * (9.81 m/s2) * [ 750 mm * (1 m/1000 mm)]

    = 99914.85 kg/s2*m ...... <--- is what I got.

    The book got 99914.85 Pa which translates to 99.54 kPa.

    Is kg/s2*m another way to say kPa?
  2. jcsd
  3. Jan 3, 2017 #2


    User Avatar
    2017 Award

    Staff: Mentor

    Almost. ##1\, Pa = 1\, \frac{kg}{ms^2}## See here.
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