Question

How do you derive Charles law?

Answer 1

Derivation of Charles' law

Charles’ Law states that at a constant pressure, the volume of a fixed mass of a dry gas is directly proportional to its absolute temperature. We can represent this using the following equation:

VαT

Since V and T vary directly, we can equate them by making use of a constant k.

VT=constant=k

The value of k depends on the pressure of the gas, the amount of the gas and also on the unit of the volume.

VT = k ———– (I)

Let V1 and T1 be the initial volume and temperature of an ideal gas. We can write equation I as:

V1T1=k ———– (II)

Let’s change the temperature of the gas to T2. Consequently, its volume changes to V2. So we can write,

V2T2=k ———– (III)

Equating equations (II) and (III),

V1T1=V2T2=k

Hence, we can generalize the formula and write it as:

(V1)(T1)=(V2)(T2)

Or

V1T2=V2T1

Answer 2

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