For the following three reactions I, II and III, equilibrium constants are given<br />I. ${\rm{CO}}\left( {\rm{g}} \right) + {{\rm{H}}_2}{\rm{O}}\left( {\rm{g}} \right)\leftrightharpoons{\rm{C}}{{\rm{O}}_2}\left( {\rm{g}} \right) + {{\rm{H}}_2}\left( {\rm{g}} \right);{K_1}$<br />II. ${\rm{C}}{{\rm{H}}_4}\left( {\rm{g}} \right) + {{\rm{H}}_2}{\rm{O}}\left( {\rm{g}} \right)\leftrightharpoons{\rm{CO}}\left( {\rm{g}} \right) + 3{{\rm{H}}_2}\left( {\rm{g}} \right);{K_2}$<br />III. ${\rm{C}}{{\rm{H}}_4}\left( {\rm{g}} \right) + 2{{\rm{H}}_2}{\rm{O}}\left( {\rm{g}} \right)\leftrightharpoons{\rm{C}}{{\rm{O}}_2}\left( {\rm{g}} \right) + 4{{\rm{H}}_2}\left( {\rm{g}} \right);{K_3}$<br />Which of the following relations is correct?<br /> 