The pressure at what depth in seawater (density 1,025 kg/m³) is equivalent to that at a depth of 10.0 m in fresh water (density 1,000 kg/m³)? A) 10.2 m B) 9.76 m C) 10.3 m D) 9.81 m

Question

Quizplus · Accepted Answer

The pressure at a given depth is given by the formula P = ρgh, where P is the pressure, ρ is the density, g is the acceleration due to gravity, and h is the depth. As the depth in fresh water is given as 10.0 m, we can calculate the pressure as P1 = 1,000 kg/m3 × 9.81 m/s2 × 10.0 m = 98,100 Pa. To find the depth in seawater that would give the same pressure, we can use the same formula, but with the density of seawater and the pressure we just calculated:
P2 = 1,025 kg/m3 × 9.81 m/s2 × h
Setting P2 equal to 98,100 Pa and solving for h, we get:
h = 9.76 m
Therefore, the answer is B.

The Pressure at What Depth in Seawater (Density 1,025 Kg/m3)

The Pressure at What Depth in Seawater (Density 1,025 Kg/m³)