Pressure Temperature

Introduction

This law states that the pressure (P) of a fixed mass of gas held at a constant volume is directionally proportional to the temperature (T) of the gas at that volume (V). Because of this, as the pressure of a particular system increases, so does the temperature of that system, and the reverse is true as well. Gas laws describe the behaviour of gases in relation to their pressure, volume, temperature, and amount of a given gas. 

Pressure 

Pressure is a continuous physical force that is exerted on an object by something that is in close proximity to it. It is calculated as the force per unit area of the area of the force. When considering a gas-filled enclosed chamber surrounded by a vacuum, the pressure exerted by the gas on the walls of the chamber is dependent on three factors. The amount of gas in the chamber, the volume of the chamber, and the temperature of the gas are the variables to consider. Considering all other parameters to be equal and constant, the pressure inside the chamber is directly proportional to the amount of gas contained within the chamber; it is inversely proportional to the volume of the chamber; and it is directly proportional to the temperature of gas contained within the chamber.

Temperature 

The amount of heat present in a substance or an object is referred to as its temperature. It is a representation of the internal energy contained within a specific system. A thermometer, which can be calibrated in a variety of measurement units, can be used to determine the current temperature. The Celsius scale, which is denoted in degrees Celsius, is the most widely used scale for measuring temperature. The Kelvin is the temperature unit used by the International System of Units (SI), which is a metric system (K). 

The thermal motion of particles in a matter is at its lowest point at absolute zero, which is the coldest theoretical temperature possible. The temperature of absolute zero is 0 K, which corresponds to -273.14 °C.

Relationship between pressure and Temperature 

Regarding gases, the relationship between pressure and temperature is discussed in greater detail. Gay-law Lussac’s is a gas law that describes the relationship between pressure and temperature in a gas. A direct proportionality relationship between the pressure of a given amount of a particular gas and its Kelvin temperature is stated when the volume of the gas remains constant. It is possible to write it as follows:

P1/T1 = P2/T2

Relationship Between Pressure and Temperature

When the temperature of a particular system is raised, the molecules in the gas move more quickly, resulting in a greater pressure being exerted on the wall of the gas container’s container. In terms of pressure on the system, this is a positive development. When the temperature of the system is lowered, the pressure in the system decreases. As a result, when the volume of a particular gas remains constant, the pressure of that gas is directly proportional to the temperature.

Alternative explanation of the relation between pressure and temperature 

Suppose a volume of gas is kept in a container. On increasing the volume of the container provided to a fixed volume of gas now on having the large space they exerts less pressure on the walls and on decreasing the volume of the container the same volume of gas will have less space to move and thus they will exert more pressure on the walls of the container and thus when volume increases the pressure decreases while when the volume decreases pressure increases. This is the relationship between pressure and temperature which shows they are inversely proportional to each other.

Conclusion

Therefore, we can finally conclude that for any given volume of gas, the pressure produced by that gas is directly proportional to the temperature produced by that gas. When the temperature of a system rises, the pressure in the system rises as well, and the reverse is true. Gay-law Lussac’s describes the relationship between the pressure and temperature of a gas in a closed system.