Respuesta :
Answer:
1. The height of both water column are the same
2. When the atmospheric pressure increases, the height of the water column increases and vice versa
3. Warm butter = Fluid
Liquid nitrogen = Fluid
Paper = Solid
Neon gas = Fluid
Ice = Solid
4. The pressure and the fluid height are directly proportional and the pressure is independent of the shape of the container
5. Increase in altitude decreases the atmospheric pressure on the balloon and increases the diameter
Explanation:
1. The static pressure head, P, formula is P = ρ × h × g
Where;
ρ = The density of the water
h = The height of the water column
g = The acceleration due to gravity = Constant
Therefore, given that the static pressures, and the density of both waters are the same, P₁ = P₂, ρ₁ = ρ₂, we have;
P₁ = ρ₁ × h₁ × g = P₂ = ρ₂ × h₂ × g
ρ₁ × h₁ × g = ρ₂ × h₂ × g, where ρ₁ = ρ₂, we have;
h₁ = ρ₂ × h₂ × g/(ρ₁ × g) = ρ₂ × h₂ × g/(ρ₂ × g) = h₂
h₁ = h₂
Therefore, the height of both water column are equal
2. From P = ρ × h × g, the height of the liquid column in a barometer is directly proportional to the pressure, therefore, as the atmospheric pressure that supports the water column changes, the height of the water column changes
3. Warm butter = Fluid
Liquid nitrogen = Fluid
Paper = Solid
Neon gas = Fluid
Ice = Solid
4. The pressure at the bottom of the container, P = ρ × h × g, therefore, the pressure is directly proportional to the fluid height and is independent of the shape of the container
5. As a balloon rises in the atmosphere, the pressure of the atmosphere on the walls of the balloon reduces while the pressure of the gas in the balloon remains relatively the same, therefore, the balloon expands and the diameter increases
