Answer :
The height of a column containing carbon tetrachloride with a Specific Gravity of 1.59 and a pressure of 35.8 psig is 22.22 meters. None of the given option correct.
To determine the height of a column containing carbon tetrachloride with a Specific Gravity of 1.59 and a pressure of 35.8 psig.
We can use the concept of hydrostatic pressure and the relationship between pressure, density, gravity, and height in a column of liquid.
1. Calculate the pressure in absolute terms:
Absolute pressure = Gauge pressure + Atmospheric pressure
Given that the atmospheric pressure is approximately 14.7 psi, the absolute pressure would be:
Absolute pressure = 35.8 psig + 14.7 psi = 50.5 psi
2. Convert the pressure to SI units (Pascal):
1 psi ≈ 6894.76 Pa
Therefore, 50.5 psi ≈ 50.5 * 6894.76 Pa ≈ 347995.38 Pa
3. Determine the density of carbon tetrachloride:
Specific Gravity (SG) = Density of substance / Density of water
Density of substance = Specific Gravity * Density of water
Density of water ≈ 1000 kg/m^3
Density of carbon tetrachloride ≈ 1.59 * 1000 kg/m^3 ≈ 1590 kg/m^3
4. Calculate the height of the column using the hydrostatic pressure formula:
Pressure = Density * Gravity * Height
Height = Pressure / (Density * Gravity)
Substituting the values:
Height = 347995.38 Pa / (1590 kg/m^3 * 9.81 m/s^2)
Height ≈ 22.22 meters
Therefore, the height of the column containing carbon tetrachloride with a Specific Gravity of 1.59 and a pressure of 35.8 psig would be approximately 22.22 meters. None of the given option correct.
