Please solve it using python and provide the code $6\mathrm{.}14$ In a chemical engineering process, water vapor $(H_{2}O)$

is heated to sufficiently high temperatures that a significant

portion of the water dissociates, or splits apart, to form oxy$-$

gen $(O_2)$ and hydrogen $(H_2)$ :

$H_{2}O{H}_2+\frac{1}{2}{O}_2$

If it is assumed that this is the only reaction involved, the

mole fraction $x$ of $H_{2}O$ that dissociates can be represented by

$K=\frac{x}{1-x}\sqrt[\phantom{2}]{\frac{2p_t}{2+x}}$

where $K$ is the reaction's equilibrium constant and $p_t$ is the

total pressure of the mixture. If $p_t=3$atm and $K=0\mathrm{.}05,$

determine the value of $x$ that satisfies Eq$.($P$6\mathrm{.}14\mathrm{.}1).$