Answer:
The reason why the height for the liquid is 5.18 m is because, for constant pressure, height is inversely proportional to density.
Explanation:
We know that pressure, P = ρgh where ρ = density of material, g = 9.8 m/s and h = height.
Since density of liquid = 2 × density of water = 2 × 1000 kg/m = 2000 kg/m³
Since atmospheric pressure = 101500 N/m²,
The height of liquid for this pressure is h = P/ρg = 101500/(2000 × 9.8) = 5.18 m
For the same pressure, the height for water is h = P/ρg = 101500/(1000 × 9.8) = 10.36 m
Since pressure = constant,
P = ρgh ⇒ P/ρg = h since P and g are constant, h ∝ 1/ρ
ρ₁h₁ = ρ₂h₂
So, the reason why the height for the liquid is 5.18 m is because, for constant pressure, height is inversely proportional to density.
