state and prove boyles law
Answers
Answer:
• About Boyle's Law :-
Boyle’s law is a gas law which states that the pressure exerted by a gas (of a given mass, kept at a constant temperature) is inversely proportional to the volume occupied by it. In other words, the pressure and volume of a gas are inversely proportional to each other as long as the temperature and the quantity of gas are kept constant. Boyle’s law was put forward by the Anglo-Irish chemist Robert Boyle in the year 1662.
For a gas, the relationship between volume and pressure (at constant mass and temperature) can be expressed mathematically as follows.
➡ P ∝ (1/V)
Where P is the pressure exerted by the gas and V is the volume occupied by it. This proportionality can be converted into an equation by adding a constant, k.
➡ P = k•(1/V) ⇒ PV = k
• Formula and Derivation :-
As per Boyle’s law, any change in the volume occupied by a gas (at constant quantity and temperature) will result in a change in the pressure exerted by it. In other words, the product of the initial pressure and the initial volume of a gas is equal to the product of its final pressure and final volume (at constant temperature and number of moles). This law can be expressed mathematically as follows:
➡ P1V1 = P2V2
Where,
• P1 is the initial pressure exerted by the gas
• V1 is the initial volume occupied by the gas
• P2 is the final pressure exerted by the gas
• V2 is the final volume occupied by the gas
This expression can be obtained from the pressure-volume relationship suggested by Boyle’s law. For a fixed amount of gas kept at a constant temperature, PV = k. Therefore,
➡ P1V1 = k (initial pressure × initial volume)
➡ P2V2 = k (final pressure × final volume)
∴ P1V1 = P2V2
This equation can be used to predict the increase in the pressure exerted by a gas on the walls of its container when the volume of its container is decreased (and its quantity and absolute temperature remain unchanged).
Hence, Boyle's Law :
➡ P1V1 = P2V2
Explanation:
Boyle's Law: The changes in the volume of a gas by varying pressure at a constant temperature of a fixed amount of gas was quantified by Robert Boyle in 1662. The law was named after his name as Boyle's law.
IT STATES THAT
VOLUME OF A GIVEN MASS OF GAS IS INVERSELY PROPORTIONAL TO ITS PRESSURE AT A CONSTANT TEMPERATURE.
CONSTANTS ARE TEMPERATURE AND NO. OF MOLES(n)