Gas Laws
Gas Laws
Name
Institution
The 3 Gas Laws
Introduction
The three gas laws include: Gay-Lussac’s law, Boyle’s law and Charles’ law. When combined with Avogadro’s law the three laws can be generalized by the ideal gas law. Gases possess observable properties which include, mass, pressure (P), thermodynamic temperature (T) and volume (V). These properties are related to each other and the state of a gas is determined by their values. The three laws are derived from these properties.
Discussion
Boyle’s gas law
Boyle’s law relates the volume and pressure of an ideal gas. It states that when the temperature of a given mass of a confined gas is held constant, its pressure and volume are inversely proportional. In other words, the product of absolute pressure and volume is nearly constant and exactly a constant for an ideal gas (Stoker, 2013).
The mathematical equation for Boyle's law is:
PV = k
Where:
P denotes the pressure of the system.
V denotes the volume of the gas.
K is a constant value representative of the pressure and volume of the system.
Explanation
Provided a fixed quantity of gas is kept in its original temperature, when the volume V is increased, the pressure P decreases proportionately. The converse is also true. The volumes and pressures before and after change in volume and pressure of the fixed amount of gas are related as follows: P1V1=P2V2
In the expression, P1 and V1 represent the initial pressure and volume, while P2 and V2 is the second pressure and volume respectively. Diagram showing Boyle’s law Graphical representation of Boyle's law
Example to show application of the formula:
4,000 cubic meters of air are under a pressure of 50 kilopascals. What is the volume if the pressure is increased to 100 kilopascals?
Classifying the data: V₁= 4,000 m³, P₁= 50 kPa, P₂= 100 kPa We must solve for V₂
Solving Boyle's Law for V₂ we get:
V₂= (V1• P₁) ÷ P₂ V₂= (4,000 m³ • 50 kPa) ÷ 100 kPa V₂=
Name
Institution
The 3 Gas Laws
Introduction
The three gas laws include: Gay-Lussac’s law, Boyle’s law and Charles’ law. When combined with Avogadro’s law the three laws can be generalized by the ideal gas law. Gases possess observable properties which include, mass, pressure (P), thermodynamic temperature (T) and volume (V). These properties are related to each other and the state of a gas is determined by their values. The three laws are derived from these properties.
Discussion
Boyle’s gas law
Boyle’s law relates the volume and pressure of an ideal gas. It states that when the temperature of a given mass of a confined gas is held constant, its pressure and volume are inversely proportional. In other words, the product of absolute pressure and volume is nearly constant and exactly a constant for an ideal gas (Stoker, 2013).
The mathematical equation for Boyle's law is:
PV = k
Where:
P denotes the pressure of the system.
V denotes the volume of the gas.
K is a constant value representative of the pressure and volume of the system.
Explanation
Provided a fixed quantity of gas is kept in its original temperature, when the volume V is increased, the pressure P decreases proportionately. The converse is also true. The volumes and pressures before and after change in volume and pressure of the fixed amount of gas are related as follows: P1V1=P2V2
In the expression, P1 and V1 represent the initial pressure and volume, while P2 and V2 is the second pressure and volume respectively. Diagram showing Boyle’s law Graphical representation of Boyle's law
Example to show application of the formula:
4,000 cubic meters of air are under a pressure of 50 kilopascals. What is the volume if the pressure is increased to 100 kilopascals?
Classifying the data: V₁= 4,000 m³, P₁= 50 kPa, P₂= 100 kPa We must solve for V₂
Solving Boyle's Law for V₂ we get:
V₂= (V1• P₁) ÷ P₂ V₂= (4,000 m³ • 50 kPa) ÷ 100 kPa V₂=