What is the law which states that volume and temperature are directly related?

It is called Charles' Law.

http://library.thinkquest.org/12596/charles.html

The pressure must be constant than an absolute temperature (measured from absolute zero) must be used.

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The law you are referring to is called Charles's Law, which states that the volume of a gas is directly proportional to its temperature, provided that the pressure remains constant.

To understand how Charles's Law relates volume and temperature, we need to consider the behavior of gas particles. According to the kinetic theory of gases, gas particles are in constant motion and their average kinetic energy is directly related to temperature. When the temperature of a gas increases, the average kinetic energy of its particles also increases, causing them to move faster and collide with the walls of the container more frequently and with greater force.

As a result of these increased collisions, the gas particles exert greater pressure on the walls of the container, pushing them outward. This causes the volume of the gas to increase, as there is more space available for the gas particles to occupy. Conversely, when the temperature decreases, the average kinetic energy of the gas particles decreases, resulting in fewer and less forceful collisions with the walls of the container. This leads to a decrease in volume.

In mathematical terms, Charles's Law can be expressed as follows:

V1 / T1 = V2 / T2

where V1 and V2 represent the initial and final volumes, and T1 and T2 represent the initial and final temperatures, respectively.

To apply Charles's Law and find the relationship between volume and temperature, you need to conduct an experiment or have values for the initial and final conditions (volume and temperature) of a gas sample. Then, you can rearrange the equation and solve for the desired variable (volume or temperature) using algebraic manipulation.