Atmospheric Pressure: Solving with a Mercury Barometer

[Minh Nguyen]

Homework Statement

A mercury barometer located in a room at 25°C has a height of 750 mm. What is the atmospheric pressure in kPa?

Homework Equations

P_atm = ρ*g*H₀

The Attempt at a Solution

[/B]
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?

 

[fresh_42]

Is kg/s2*m another way to say kPa

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