Determine the pressure at bottom of an open tank if it contains layers 10 cm of oil, 30 cm of water and 5cm of mercury.

Given that the densities of oil, water, and mercury are 850 kg/m^3, 1000kg/m^3 and 13600kg/m^3 respectively.

figure the weight of each of the substances for a column 1m^2 in area.

weight=density*area*9.8N/kg*heightinMeters

Now add the weights.

Divide by 1m^2, that is the pressure in Pascals.

To determine the pressure at the bottom of the tank, we need to consider the pressure contributions from each layer of fluid.

First, let's calculate the pressure due to the oil layer. The pressure at a certain depth in a fluid is given by the equation:

Pressure = density × gravitational acceleration × depth

For the oil layer, the depth is 10 cm, which is equal to 0.1 meters. So the pressure due to the oil layer can be calculated as:

Pressure_oil = Density_oil × g × depth_oil

Using the given values for density and gravitational acceleration:

Pressure_oil = 850 kg/m^3 × 9.8 m/s^2 × 0.1 m

Next, let's calculate the pressure due to the water layer. The depth of the water layer is 30 cm, which is equal to 0.3 meters. So the pressure due to the water layer can be calculated as:

Pressure_water = Density_water × g × depth_water

Using the given values for density and gravitational acceleration:

Pressure_water = 1000 kg/m^3 × 9.8 m/s^2 × 0.3 m

Lastly, let's calculate the pressure due to the mercury layer. The depth of the mercury layer is 5 cm, which is equal to 0.05 meters. So the pressure due to the mercury layer can be calculated as:

Pressure_mercury = Density_mercury × g × depth_mercury

Using the given values for density and gravitational acceleration:

Pressure_mercury = 13600 kg/m^3 × 9.8 m/s^2 × 0.05 m

Now, to calculate the total pressure at the bottom of the tank, we need to sum up the pressure contributions from each layer:

Total Pressure = Pressure_oil + Pressure_water + Pressure_mercury

Plug in the calculated values for each pressure and perform the addition to find the total pressure at the bottom of the tank.