Ethylene, \(\mathrm{C}_{2} \mathrm{H}_{4}\), and water react under appropriate
conditions to give ethanol. The reaction is:
$$
\mathrm{C}_{2} \mathrm{H}_{4}(g)+\mathrm{H}_{2} \mathrm{O}(g)
\rightleftharpoons \mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}(g)
$$
An equilibrium mixture of these gases at a certain temperature had the
following partial pressures: \(P_{\mathrm{C}_{2} \mathrm{H}_{4}}=\)
$$
0.575 \mathrm{~atm}, P_{\mathrm{H}_{2} \mathrm{O}}=1.30 \mathrm{~atm}, \text {
and } P_{\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}}=6.99 \mathrm{~atm}
$$
What is the value of \(K_{\mathrm{P}}\) ?