Liquid methylene iodide has a density of 3.33 g/mL. A barometer is constructed using methylene iodide instead of mercury. If the atmospheric pressure is 0.978 atm, what is the height of the methylene iodide column in the barometer in cm?
The density of liquid mercury is 13.6 g/mL.
To find the height of the methylene iodide column in the barometer, we can use the formula for pressure in a column of liquid:
P = ρgh
Where:
P = Pressure
ρ = Density of the liquid
g = Acceleration due to gravity (9.81 m/s^2)
h = Height of the column
First, let's convert the given atmospheric pressure from atm to Pa:
1 atm = 101325 Pa
So, 0.978 atm = 0.978 * 101325 Pa = 99101.55 Pa
Now, let's calculate the height of the methylene iodide column:
ρ = 3.33 g/mL = 3.33 * 10^3 kg/m^3
g = 9.81 m/s^2
P = 99101.55 Pa
Plugging these values into the formula, we get:
99101.55 = (3.33 * 10^3) * 9.81 * h
99101.55 = 32673.3 * h
h = 99101.55 / 32673.3
h ≈ 3.03 meters or 303 cm
Therefore, the height of the methylene iodide column in the barometer is approximately 303 cm.