Boyle’s law statement and graph

The other name of Boyle’s law is Mariotte’s law.It tells the relation between the compression and expansion of gas at constant temperature. The relation between pressure and volume was told by the physicist  Robert Boyle in 1662.He states that at constant temperature the volume is inversely proportional to pressure of given gas.This is also called Mariotte’s law,because in 1676, Edme Mariotte Who is the French physicist discovered the relationship between pressure and volume.

The law can be deduced from the kinetic theory of gases under the assumption of an ideal gas. At sufficiently low pressures, real gases satisfy Boyle’s law, although the product PV reduces slightly at higher pressures when the gas begins to deviate from ideal behaviour.

As this law is deduced from the kinetic theory of gases and most of the gases are ideal gases, Now let us see the definitions of  them

Kinetic theory of gases:

Kinetic theory of gases tells the properties of temperature, volume, pressure 

And also transport properties such as viscosity and thermal conductivity as well as mass diffusivity.

Ideal ags law:

The ideal gas law, or the universal gas equation, is a state mathematical expression for a hypothetical ideal gas. 

In 1834, Benoit Paul Émile Clapeyron proposed the ideal gas law, which was a combination of empirical Charles’s law, Boyle’s law, Avogadro’s law, and Gay-Lussac’s law

Compression:

Compression is a term used to describe the reduction in the volume of any item or substance as a result of applied pressure. Solids, liquids, and gases, as well as living systems, can be compressed. In the latter, compression is measured against the volume of the system at the standard pressure to which an organism is exposed—for example, the pressure of the atmosphere at sea level is the standard, or reference, for most land animals, but the normal pressure of their environment is the standard for deep-sea fishes and similar specialised forms.

Boyle’s law statement:

Boyle’s law is a type of gas law and it states that “At constant temperature(T), the volume(V) of a fixed amount of dry gas is inversely proportional to its pressure(P)”.

Boyle’s law formula:

The boyle’s law can also be mathematically represented as 

At constant temperature and fixed mass of gas,

V∝1/P

 V=K/P

PV=K

Its can also be represented as

P∝1/V

P=K/V

  VP=K

Where, 

P is the pressure applied

V is the volume of the gas 

And k is constant.

Significance of  Boyle’s law

Boyle’s law is crucial because it describes the behaviour of gases. It establishes that gas volume and pressure are directly proportional without a moment’s hesitation. The volume of a gas reduces and the pressure rises when you press down on it.

Real lifetime example

Respiration:

All human beings have to use Boyle’s law every minute. Because while we are breathing, we will use Boyle’s law. During our respiration, When we inhale the volume increases as our body is filled with air and the pressure decreases. While exhaling.The volume decreases and pressure increases.

Soda bottle:

This is the best example to demonstrate Boyle’s law. The soda bottle is generally filled with carbon dioxide and water. When the bottle is closed,The air molecules are tightly kept and they have no space to move. When the bottle is opened, the air molecules evaporate and the pressure decreases.

Syringe:

The syringe is mainly used for medical purposes. It is used to insert or add fluids etc. This works as when the plunger is pushed down the volume of liquid increases and so the pressure decreases. But when the plunger is pushed up, The volume will be reduced and pressure is increased.

Filling up the air in flat tyres:

Everybody has vehicles. To know about it clearly, Let us take Cycles. When we are filling air in cycles with air pumper, The air molecules in the tyre will be increased which tells the volume is increased so as the pressure will be decreased

Limitations of Boyle’s law:

• This law can only hold for ideal gases.
• This law cannot be used for low temperatures and high pressures.
• This law works for low pressures only
• At high pressure, the temperatures and pressures are not constant but the value will be increased slightly because of the rising volume among molecules.

Boyle’s law graph:

Graphically it is represented as,

The graph shows the hyperbola shapes which states that as the pressure increases, the volume decreases.

Hyperbola has two asymptotes, horizontal and vertical. This explains that the larger infinity the pressure increases the volume will never be zero. Also the larger infinity the volume increases the volume will not be zero.

Conclusion:

In brief, we can say that Boyle’s law is a law that holds ideal gas law where the pressure and volume are inversely proportional to each other at the fixed amount of air and temperature.

As long as the temperature and amount of gas remain constant, the pressure and pressure of a gas are approximately equal.