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# What is Relationship between Pressure and Temperature?

Lussac’s law describes the relationship between pressure and temperature in gases. It states that “The pressure of a fixed mass of gas stored at a constant volume is proportional to its Kelvin temperature.” As a result, as the pressure of a system rises, the temperature of that system rises as well and vice versa. The behavior of gases in terms of pressure, volume, temperature, and amount is defined by gas laws. Gas is a state of matter which can be compressed tightly or extended to fill a wide vacuum. ### What is pressure? A constant physical force exerted on an object per unit area is known as pressure. Its unit is newton per meter square. Consider an enclosed chamber of gas surrounded by a vacuum, then the pressure exerted by the gas on the chamber’s walls can be determined by three factors. They are the sum of gas in the room, the chamber’s volume and the gas’s temperature. The pressure inside the chamber is directly proportional to the amount of gas in the chamber when all other parameters are constant; it is inversely proportional to the volume of the chamber when all other parameters are constant and it is directly proportional to the temperature of the gas inside the chamber when all other parameters are constant.

### What is temperature?

The amount of heat present in a material is its temperature. It indicates the internal energy stored within a material. Thermometer is used to determine the temperature. Usually temperature is measured in degree Celsius or Kelvin scale. The thermal motion of particles in a matter is minimum at absolute zero. It is -273.14 °C at absolute zero, which is 0 K.

What are Cohesive and Adhesive Forces?

### What is the Relationship Between Pressure and Temperature?

The pressure rises as the temperature rises. This is due to the fact that when air molecules collide each other, they exert force on one another. As gas molecules are heated, they travel faster since their internal energy has raised due to rise in temperature, and the increased velocity leads to further collisions. As a consequence, each molecule is subjected to further force causing increase in pressure. Owing to a difference in air density, temperature influences air pressure at various altitudes. Given two columns of air with different temperatures, the warmer column would encounter the same air pressure at a higher altitude as the cooler column at a lower altitude. The air pressure drops as the temperature drops. Gas molecules move more slowly as they cool. Since there are fewer collisions between molecules as velocity is reduced, air pressure drops. Warmer air is less dense than cold air, allowing molecules to collide with greater force.

### Relationship between Pressure and Temperature

The relationship between pressure and temperature is described with respect to gases. It states that, at a constant volume, the pressure of a given amount of a particular gas is directly proportional to its Kelvin temperature.

P ∝ T

P / T = k

This is the pressure and temperature equation, where k is a constant, P is pressure and T is temperature.

## If temperature increases what happens to pressure?

When the temperature of a material is raised, its molecules in the gas move faster, increasing the pressure on the gas container’s walls. This raises the system’s pressure. The pressure decreases as the system’s temperature decreases. As a result, the pressure of a given gas is directly proportional to its temperature at a constant volume.

The temperature at a given volume is directly proportional to the pressure of a given quantity of gas. When a system’s temperature rises, so does its pressure, and vice versa.