# Can you please explain Boyle's Law Charle's Law in a simlified manner? I would be very thankful to u for this?

Dear student!

Simply, the Boyle's law shows the relation between the pressure and volume of a gas at constant temperature, so as : For a fixed mass of gas at constant temperature, the volume is inversely proportional to the gas.

It means if, the volume is doubled the pressure will be half or vice versa.

It is mathematically expressed as: V ∝ 1/P (at constant temperature and mass)

Or, so we write as , PV = constant

Hence, P1 /P2 = V2 /V1

Similarly, the  Charle's Law explains that: For a fixed mass of gas at constant pressure (P) ,the volume is directly proportional to the kelvin temperature (T). So, if we double the volume, the temperature will also be doubled.

Mathematically, At constant P and Mass (or no. of moles = n)

V ∝ T

Or, T1 /T2 = V1 /V2

In equation of both the laws we obtain, PV = nRT

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Boyle's law gives the relationbetween pressure (p) and volume (V) of a fixed amount of gas. Boyle's law states that at constant temperature, the pressure of a fixed amount (number of moles,n) of a gas is inversely proportional to its volume.

Mathematically, it is represented as

, where= Proportionality constant

From the above equation, it is found that at constant temperature, the product of pressure and volume of a fixed amount of a gas is constant. Also, if at constant temperature,

V1= Volume of a gas at pressurep1

V2= Volume of the same gas at pressurep2

Then,

p1V1=p2V2= Constant

Charles' Law states that at constant pressure, the volume of a fixed amount of gas is directly proportional to its absolute temperature. Mathematically, it is represented as follows

V ∝ T

or V = kT

where V is the volume, T is the temperature and k is the proportionality constant. The above equation also gives the following relation

V2/ V1= T2/ T1

where V1and V2are the initial and the final volume of the gas and T1and T2are the initial and the final temperature of the gas respectively.

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Boyle's Law

To put it in a simple manner, Boyle's Law is a correlatian or it shows the relation between pressure and volume, when pressure acts on a sample of gas.

P∝ 1/V means that pressure is inversely proportional to the volume of the gas and when the pressure increases the volume decreases.(Temperature always has to remain the same.)

A formula to find the change that has occured when more or less pressure is applied is P1*V1= P2*V2 , where P is pressure and V is volume.P1 and V1 are initial pressure and volume respectively, while P2 and V2 are the applied pressure and the resulting volume respectively.

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