The density of mercury is 13.5 g/ml and the density of water is 1.00 g/ml. if a mercury barometer reads 727 mmhg, what is the barometric pressure in cmh₂o?

Pressure = Force / Area

Force = mass of the column * g

mass of the column = Volume * density

Volume = Area * Height

=> Pressure = Volume*density/ Area = Area*Height*density*g /Area = Height*density*g

=> Height of mercury * density of mercury * g = height of water * densidty of water * g

=> height of mercury * density of mercury = height of water *  density of water =>

height of water = height of mercury * density of mercury / density of water

height of water = 727 mmHg * 13.5 g/mL / 1.00 g/mL = 9,814.5 mmH20 =

= 981. 45 cm H2O.

981 cm H2O