Question

charles law derivation ??

Answer 1

Charles law states that at constant pressure volume of gas is directly proportional to temperature.

From ideal gas equation

Pv = nRT
For n=1 mol
Pv=RT

As pressure is constant and R is also a universal gas constant

V become directly proportional to temperature.

V1/T1 = V2 /T2

Hope you get your answer.

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,

$\frac{V1}{T1}$ = $\frac{V2}{T2}$