The difference between the pressure inside and outside of a closed container filled with water at room temperature depends on several factors, including the atmospheric pressure and the depth of the water in the container.
When a closed container is filled with water, the water exerts a pressure on the container walls and the container exerts an equal and opposite pressure on the water. This pressure is often referred to as hydrostatic pressure.
The hydrostatic pressure depends on the depth of the water. It increases with depth due to the weight of the water column above. The pressure at any given depth is given by the equation:
Pressure = density * gravitational acceleration * depth
In the case of water at room temperature, the density is relatively constant, and the gravitational acceleration is approximately 9.8 m/s².
Now, considering the atmospheric pressure, which is the pressure exerted by the air in the environment, it acts on the outer surface of the container as well. Atmospheric pressure decreases with increasing altitude, but at sea level, it is approximately 1 atmosphere (atm), which is equivalent to approximately 101.3 kilopascals (kPa) or 14.7 pounds per square inch (psi).
Therefore, the difference between the pressure inside and outside of a closed container filled with water at room temperature is the difference between the hydrostatic pressure at a specific depth inside the container and the atmospheric pressure outside the container. The exact difference will depend on the depth of the water in the container and the specific atmospheric conditions.