A rectangular tank 0.30m × 0.30m × 0.60 m is filled with ethyl alcohol to a full depth of 0.30 the pressure at the surface of the alcohol is 1.013x10⁶ Pa.
To find the pressure at the bottom of the tank, we need to use the equation for pressure due to a fluid:
P = ρgh
where P is pressure, ρ is density, g is the acceleration due to gravity, and h is the depth of the fluid.
First, we need to find the density of ethyl alcohol. The density of ethyl alcohol is approximately 789 kg/m³.
Next, we can find the pressure at the bottom of the tank:
P = ρgh
P = (789 kg/m³)(9.81 m/s²)(0.30 m)
P = 2317 Pa
Therefore, the pressure at the bottom of the tank is 2317 Pa.
To solve this problem, we can use the equation for pressure:
Pressure = Density × Gravitational acceleration × Height
First, we need to find the density of the ethyl alcohol. The density of ethyl alcohol varies slightly with temperature, but at 20°C, the density is approximately 789 kg/m³.
Next, we need to determine the gravitational acceleration, which is approximately 9.8 m/s².
Given that the height of the ethyl alcohol column is 0.30 m, we can now calculate the pressure at the bottom of the tank.
Pressure = Density × Gravitational acceleration × Height
Pressure = 789 kg/m³ × 9.8 m/s² × 0.30 m
Pressure ≈ 2,305 Pa
Therefore, the pressure at the bottom of the tank, where the ethyl alcohol is at its maximum depth, is approximately 2,305 Pa.
To find the pressure at the bottom of the tank filled with ethyl alcohol, we need to consider the hydrostatic pressure due to the liquid column above.
The hydrostatic pressure in a fluid is given by the formula:
P = ρgh
Where:
P is the pressure
ρ is the density of the fluid
g is the acceleration due to gravity
h is the height of the fluid column
First, we need to determine the density of ethyl alcohol. The density of ethyl alcohol varies slightly with temperature. At room temperature (25°C), the density of ethyl alcohol is approximately 789 kg/m³.
Next, we need to determine the height of the fluid column. In this case, the tank is filled to a depth of 0.30 m. Therefore, the height of the fluid column (h) is also 0.30 m.
Finally, we need to determine the acceleration due to gravity (g). On Earth, the average value for acceleration due to gravity is approximately 9.81 m/s².
Plugging these values into the formula, we can calculate the pressure at the bottom of the tank:
P = (789 kg/m³)(9.81 m/s²)(0.30 m)
P ≈ 2305 Pa
Therefore, the pressure at the bottom of the tank filled with ethyl alcohol is approximately 2305 Pa.