Question

can any one give me the derivation of Charles law

Answer 1

for a given mass of a gas at constant pressure the volume is directly proportional to the temperature .
derivation :
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

$\huge\textbf{Charles Law}$

At constant Pressure (P), Volume (V) of a given mass of gas is directly proportional to the Temperature (T) of gas.

$V$ $\alpha$ $T$

(At constant Pressure)

$V\:=\:k\:×\:T$

$\frac{V}{T}$ $=\:k$

$\frac{V1}{T1}$ $=\:k$

$\frac{V2}{T2}$ $=\:k$

Here k = Constant

So,

$\frac{V1}{T1}$ = $\frac{V2}{T2}$