Question
State Boyle's law. How this law is expressed mathematically?
Solution
It states: “At constant temperature, the volume of a given mass of a gas is inversely proportional to its pressure. ” Mathematical representation: It may be expressed mathematically as
where V is the volume of a given mass of a gas and P is the pressure.
For a gas having pressure P1 and V1
P1V1 = constant ...(1)
If the pressure changes from P1 to P2 and volume changes from V1 to V2, then
P2V2 = constant ...(2)
From (1) and (2),
P1 V1 = P2V2 (Temperature constant) Hence, Boyle’s law may also be stated as:
“At a constant temperature, the product of the pressure and volume of a given mass of gas is constant.”
where V is the volume of a given mass of a gas and P is the pressure.
For a gas having pressure P1 and V1
P1V1 = constant ...(1)
If the pressure changes from P1 to P2 and volume changes from V1 to V2, then
P2V2 = constant ...(2)
From (1) and (2),
P1 V1 = P2V2 (Temperature constant) Hence, Boyle’s law may also be stated as:
“At a constant temperature, the product of the pressure and volume of a given mass of gas is constant.”
