How was it found that if we go $\rm 273°C$ below $0$, we would reach absolute zero. What experiment gave this result.
Charles' law states that :
Volume is directly proportional to the absolute temperature.
Was the Kelvin perhaps created as scale in which temperature and pressure of a gas are proportional?
I tried to find absolute zero in this manner with experimental data from this video.
This is my work:
$v_1$ $= \rm 112\ mL$
$t_1$ $= \rm 23°C$
$v_2$ $= \rm 138 \ mL$
$t_2$ $= \rm 100°C$
Let's define $x$ as the quantity to add to °C measurement's to satisfy Charles' law. In other words $\rm -x°C$ would be absolute zero.
\begin{equation} \frac{v_1}{v_2} = \frac{x + t_1}{x + t_2} \\ \frac{112}{138} = \frac{x + 23}{x + 100} \\ 26x = 112×100 - 138×23 \\ x = 308.69 \end{equation} I also tried other values but I am not getting the desired answer. Is there a flaw in my reasoning or does this have nothing to do with the Kelvin scale at all? If so, then how was the Kelvin scale formulated.