The compound 1-iodododecane is a nonvolatile liquid with a density of 1.20g/mL
. The density of mercury is 13.6g/mL
.What do you predict for the height of a barometer column based on 1-iodododecane, when the atmospheric pressure is 750 torr
?
To calculate the height of a barometer column based on 1-iodododecane, we need to use the equation:
P = hρg
where:
P = atmospheric pressure (750 torr)
h = height of the column
ρ = density of the liquid (1.20 g/mL or 1.20 x 10^3 kg/m^3)
g = acceleration due to gravity (9.81 m/s^2)
First, we need to convert the density of 1-iodododecane from g/mL to kg/m^3:
1.20 g/mL x 1000 mL/L x 1 kg/1000 g = 1.20 x 10^3 kg/m^3
Now, we can solve for the height of the column:
750 torr = h(1.20 x 10^3 kg/m^3)(9.81 m/s^2)
750 torr = h(1.15 x 10^4 N/m^3)
h = 750 torr / (1.15 x 10^4 N/m^3)
h ≈ 0.065 m or 6.5 cm
Therefore, based on 1-iodododecane, the height of the barometer column would be approximately 6.5 cm when the atmospheric pressure is 750 torr.