Question

The pressure exerted by a column of liquid is calculated using the equation P = hdg. What would be the height (in meters) of a bromine (density = 3.120 g/cm3) column that exerts a pressure of 1 atm? Remember that g is the gravitational constant equal to 9.80665 m/s2.

a) 3.12 m
b) 9.81 m
c) 0.32 m
d) 0.1 m

Answer 1

The height of a bromine column exerting 1 atm of pressure is approximately 3.32 meters when using the equation P = hdg with the given density and gravitational constant.

Step-by-step explanation:

To calculate the height of a bromine column exerting a pressure of 1 atm, you can rearrange the hydrostatic pressure equation P = hdg, where P is the pressure, h is the height of the liquid column, d is the density of the liquid, and g is the acceleration due to gravity. With a density of 3.120 g/cm3 (which is 3120 kg/m3 when converted to standard SI units) and the gravitational constant g = 9.80665 m/s2, we can solve for h using the pressure of 1 atm, which is equivalent to 101,325 Pa (N/m2).

Rearranging the formula to solve for h, we get:

h = P / (dg)

Substituting the given values:

h = 101,325 N/m2 / (3120 kg/m3 × 9.80665 m/s2)

h = 101,325 / 30,589.8792

h = 3.31 m

Thus, the height of the bromine column that exerts a pressure of 1 atm is approximately 3.32 meters, which is closest to option a) 3.12 m, considering the significant figures provided in the question.