Sage-Tips

How is it that two containers can have the same volume but different densities?

If you have two containers of water that are different sizes, they each hold a different amount, or volume, of water. The density of a material is defined as its mass per unit volume. In this example, each volume of water is different and therefore has a specific and unique mass.

How does the size of a container affect water pressure?

This means that the shape will not do anything to influence the pressure as long as the volume stays constant. As long as the containers each have the same mass of air, all we can do to change the pressure is to heat them up, or make them bigger or smaller.

Why did the volume remain the same in all containers?

This is because water is a liquid, and liquids flow and do not have a fixed shape. Instead, they take on the shape of whatever container they are in. If you pour a liquid from a glass onto a plate, the volume of liquid (the space it takes up) stays the same, but its shape changes.

Will the density of a liquid increase if the volume of its container increases?

If volume increases without an increase in mass, then the density decreases (Fig. 2.2 A to 2.2 C). Adding additional matter to the same volume also increases density, even if the matter added is a different type of matter (Fig.

What happens when two liquids have the same density?

If they have the same density but are immiscible they will not mix but form globules with each other.

Does the container shape affect the liquid pressure?

Note that the pressure in a fluid depends only on the depth from the surface and not on the shape of the container.

Why does a liquid have the same shape as its container?

The particles in a liquid are close together, but they are not bound to fixed positions; they can slide past and around each other. This enables liquids to take the shape of their container and to flow when they are poured. The particles in gasses are widely separated.

Does the shape of the liquid remain the same?

No. Because the particles in a liquid can move freely, a liquid has no definite shape and fixed volume.

What will happen if a container filled with gas is heated?

When gases in containers are heated, their molecules increase in average speed. The gas is therefore under greater pressure when its temperature is higher. This is why fires near sealed gas cylinders are extremely dangerous. If the cylinders heat up enough, their pressure will increase and they will explode.

What causes the pressure at the bottom of a container?

The pressure at the bottom of the container is thus caused by the weight of the water column above it, regardless of whether it is frozen or not! This pressure in a liquid, which is caused by the liquid column above, is also called hydrostatic pressure p h:

Does the size of a liquid column affect the hydrostatic pressure?

It has already been explained that the cross-sectional area of a liquid column has no influence on the hydrostatic pressure. The fact that not only the size but also the shape of the container has no influence will be shown experimentally and theoretically in the following. The figure below shows three containers with different shapes.

Why does pressure in liquids have the same effect in all directions?

The fact that the pressure in liquids (or gases) has the same effect in all directions is also shown by the fact that water in a container is even pressed out sideways through an outlet, although the weight of the water column acts downwards. Hydrostatic pressure can be found not only at the bottom of a liquid, but at any height or depth.

What would happen if two vessels were connected by a tube?

If the two vessels were connected at this depth by a tube, the greater water pressure in one of the vessels would cause the water in the other vessel to be pushed upwards. As a result, there would be a difference in the water levels.