A graduated cylinder containing some air is immersed in water. The height between the the water surface and the top of the water inside the graduated cylinder is 106mm. Calculate the correction that must be added to the barometric pressure to find the total pressure of the gases in the cylinder.

I don't know where to even start.
Thanks.

To calculate the correction that must be added to the barometric pressure to find the total pressure of the gases in the cylinder, we need to consider the relationship between pressure and height of a fluid column.

In this case, the graduated cylinder is partially filled with air and immersed in water. The difference in height between the water surface and the top of the water inside the graduated cylinder is 106mm.

To calculate the correction, we need to take into account the height of the water column (h_water) and the density of water (ρ_water), as well as the gravitational acceleration (g).

The pressure exerted by the water column can be calculated using the hydrostatic pressure formula:

P_water = ρ_water * g * h_water

The correction that must be added to the barometric pressure to find the total pressure of the gases in the cylinder will be equal to the pressure exerted by the water column.

Now, let's consider some values:
- The density of water (ρ_water) is approximately 1000 kg/m^3.
- The gravitational acceleration (g) is approximately 9.8 m/s^2.
- We have the height of the water column (h_water) as 106mm.

First, we need to convert the height of the water column from millimeters (mm) to meters (m):

h_water = 106mm * (1m / 1000mm) = 0.106m

Next, we can calculate the pressure exerted by the water column:

P_water = 1000 kg/m^3 * 9.8 m/s^2 * 0.106m = 103.88 Pa

Therefore, the correction that must be added to the barometric pressure to find the total pressure of the gases in the cylinder is approximately 103.88 Pa.