Pressure in a container placed on a reduced area?

In summary, the pressure inside a container is the same everywhere, regardless of the chosen area for measuring force. This is because pressure is a constant and can be calculated using the formula P = F / A. The force applied to a smaller area may be greater, but the pressure remains the same throughout the container.
  • #1
randombill
81
0
Really simple question but it's been making me a little confused.

Lets imagine we have a container (cubic with length of 1 meter) with a pressure of 1 Pascal and then an area inside the container of 1 mm^2 is chosen to measure the force on that area, what would the pressure be? 1 Pascal or 1000 Pascals?

My guess is the gas pressure applied to the smaller area would be larger than the pressure on the walls of the entire container similar to how a hammer can put a nail in wood easier than a blunt object.
 
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  • #2
If the container is closed and has an internal pressure of 1 pascal, then the pressure everywhere inside the container is the same: 1 pascal.

Now, the equivalent force over a certain area in the container will change, since the pressure P = F / A. P is a constant, but A can be chosen as 1 cm2, or 1 mm2 or whatever, and F can be calculated by F = P * A.
 
  • #3
SteamKing said:
F can be calculated by F = P * A.
Thanks! now it makes sense.
 

1. What is pressure in a container?

Pressure in a container refers to the force exerted by the gas or fluid inside the container on its walls. It is measured in units of force per unit area, such as pounds per square inch (psi) or pascals (Pa).

2. How does pressure change when a container is placed on a reduced area?

When a container is placed on a reduced area, the force exerted by the gas or fluid inside remains the same, but it is now spread over a smaller area. This results in an increase in pressure, as pressure is inversely proportional to the area over which it is exerted.

3. What is the relationship between pressure and area in a container?

The relationship between pressure and area in a container is described by Boyle's Law, which states that at a constant temperature, the pressure of a gas is inversely proportional to its volume. This means that as the area of a container decreases, the pressure exerted by the gas inside increases.

4. How does pressure in a container affect the behavior of gases and fluids?

Pressure in a container can affect the behavior of gases and fluids in several ways. For example, high pressure can cause gases to compress and become more dense, while low pressure can cause them to expand and become less dense. In fluids, pressure can affect the flow and speed of the fluid.

5. What factors can affect pressure in a container?

Several factors can affect pressure in a container, including the volume of the container, the amount of gas or fluid inside, and the temperature. Changes in any of these factors can result in changes in pressure. Additionally, the type and properties of the gas or fluid can also impact the pressure inside a container.

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