The organic compound di-n-phthalate is sometimes used as a low-density manometer fluid. Compute the pressure (in torr) of a gas that supports a 517-mm columns di-n-butyl phthalate . The density of mercury is 13.53 g mL-1.
To compute the pressure in torr, we need to use the formula:
Pressure (in torr) = Height (in mm) × Density (in g/mL) × Conversion Factor
Given:
Height of the column (H) = 517 mm
Density of mercury (D) = 13.53 g/mL
First, we need to convert the density of mercury from g/mL to g/mm³ (cubic millimeters) since the height is given in mm.
Density of mercury (D) = 13.53 g/mL = 13.53 g/mm³
Next, we multiply the height, density, and the conversion factor to calculate the pressure:
Pressure (in torr) = 517 mm × 13.53 g/mm³ × Conversion Factor
To convert from g/mm³ to torr, we need to use the conversion factor of 1 torr = 133.322 g/mm³.
Plugging in the values and converting the units, we have:
Pressure (in torr) = 517 mm × 13.53 g/mm³ × (1 torr / 133.322 g/mm³)
Calculating this equation will give us the pressure in torr.