How to Calculate Pressure from Water Barometer Data
What is the height of water in a water barometer at 20˚C?
The height of water in a water barometer is 883 cm at 20˚C.
What is the density of water at 20˚C?
The density of water at 20˚C is 0.998 g•cm-3.
How do you calculate the pressure exerted by the water in the barometer at 20˚C?
Calculating Pressure from Water Barometer Data
To calculate the pressure exerted by the water in a barometer at 20˚C with a height of 883 cm, we can use the formula:
Pressure (P) = density (ρ) x gravity (g) x height (h)
When we substitute the given values into the formula (ρ=0.998 g•cm-3, g=980 cm/s2 - approximate value on Earth, h=883 cm), we get:
Pressure (P) = (0.998 g/cm3) x (980 cm/s2) x (883 cm)
Pressure (P) = 862082.44 g•cm-2•s-2 or dyne/cm2. To convert to Pascals (Pa), we use a conversion factor of 0.1:
Pressure (P) = 862082.44 dyne/cm2 x 0.1 = 86208.24 Pa
Therefore, the pressure exerted by the water in the barometer at 20˚C with a height of 883 cm is approximately 86208 Pa.