Question

charle's law is represented mathematically

Answer 1

V1/T1=V2/T2 is the mathematical representation

Answer 2

$\huge{\underline{\sf{\red{Answer-}}}}$

We know, volume of a given (fixed) mass of a dry gas is directly proportional to its absolute temperature, if the pressure remains constant.

$\large{\boxed{\sf{\red{Symbolically, V\:\propto\:T}}}}$

or, $\sf\dfrac{V}{T}=k(constant\:\qquad\:---(1)$

Let initial volume and temperature and final volume, final temperature at constant (unchanged) pressure be $\sf{V}_{1}$, $\sf{T}_{1}$, $\sf{V}_{2}$ and $\sf{T}_{2}$ respectively.

Then, from equation (i), we can write :

$\\\large{ \boxed{ \sf{ \pink{ \dfrac{v_1}{t_1} = \frac{v_2}{t_2} }}}}$