Question

The organic compound di‑n‑butyl phthalate, C16H22O4(l), is sometimes used as a low‑density (1.046 g⋅mL−1) manometer fluid. Compute the pressure in torr of a gas that supports a 515 mm column of di‑n‑butyl phthalate. The density of mercury is 13.53 g⋅mL−1

Answer 1

To compute the pressure in torr of a gas that supports a 515 mm column of di-n-butyl phthalate, you can use the concept of hydrostatic pressure.

Step-by-step explanation:

To compute the pressure in torr of a gas that supports a 515 mm column of di-n-butyl phthalate, we can use the concept of hydrostatic pressure. The pressure exerted by a fluid due to gravity is known as hydrostatic pressure. In this case, the liquid in the manometer is di-n-butyl phthalate, which has a density of 1.046 g/mL. We can calculate the pressure using the formula:

Pressure = Density x g x height

where g is the gravitational acceleration (9.8 m/s²) and height is the height of the column (515 mm). First, we convert the density of di-n-butyl phthalate to kg/m³ by multiplying it by 1000 (1.046 g/mL x 1000 kg/g = 1046 kg/m³). Then we plug in the values into the formula:

Pressure = 1046 kg/m³ x 9.8 m/s² x 0.515 m (converting mm to m)

Calculating this, we get a pressure of approximately 514.052 torr.