GAY LUSSAC LAW OR ISOMETRIC LAW: APPLICATION EXERCISES

Gay-Lussac's Law is a physical law that describes the relationship between the pressure and temperature of a gas at constant volume. It is named after the French chemist Joseph Louis Gay-Lussac.
Statement of Gay-Lussac's Law
"The pressure of a gas is directly proportional to the temperature, as long as the volume remains constant."
mathematical formula
P1/T1 = P2/T2

where:

1. P1 and P2 are the initial and final pressures
2. T1 and T2 are the initial and final temperatures in kelvin (K)
Examples
1. If the temperature of a gas is increased by 20%, the pressure increases by 20%.
2. If the temperature of a gas is reduced by half, the pressure is reduced by half.
Applications
1. Cooling systems
2. Air compressors
3. Vacuum pumps
4. Scientific research
5. Aerospace industry
Limitations
1. Only applies to ideal gases
2. Does not apply to liquids or solids
3. The volume must be constant
Relationship with other laws
1. Boyle-Mariotte law (relationship between pressure and volume)
2. Charles's Law (relationship between volume and temperature)
3. Ideal gas law (combines the laws of Gay-Lussac, Charles and Boyle)
Importance
Gay-Lussac's Law is essential to understand:

1. Behavior of gases in closed systems
2. Operation of heat machines
3. Chemical and physical processes
4. Design of pressure and temperature control systems.