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. Find the pressure at the bottom of a tank

1 answer

Assuming the acceleration due to gravity is 9.81 m/s² and the density of ethyl alcohol is 789 kg/m³, we can use the formula:

pressure = density x gravity x depth

At the surface, the pressure is given as 1.013x10⁶ Pa. The depth is 0.30 m and the density is 789 kg/m³:

1.013x10⁶ = 789 x 9.81 x 0.30

To find the pressure at the bottom of the tank, we need to add the depth of the alcohol to the initial depth:

total depth = 0.30 + 0.30 = 0.60 m

Now we can use the same formula to find the pressure at the bottom:

pressure = density x gravity x depth

pressure = 789 x 9.81 x 0.60

pressure = 4.617x10⁴ Pa

Therefore, the pressure at the bottom of the tank is 4.617x10⁴ Pa.