Pressure as a function of depth for a certain liquid is plotted on the graph. What is the density of the liquid? A) 1.76 g/cm³ B) 1.36 g/cm³ C) 0.340 g/cm³ D) 1.70 g/cm³ E) 3.27 g/cm³

Question

Quizplus · Accepted Answer

Using the equation for pressure in a liquid:

P = ρgh

where P is pressure, ρ is density, g is acceleration due to gravity, and h is the depth.

From the graph, we can see that at a depth of 10 cm, the pressure is 20 kPa.

Therefore,

20 kPa = ρgh = ρ(9.81 m/s^2)(0.1 m)

ρ = 20/(9.81*0.1)

ρ = 20.4 g/cm^3

The closest answer choice is B, 1.36 g/cm^3.

Pressure as a Function of Depth for a Certain Liquid