Question

Hydrogen and carbon dioxide can be used to produce carbon monoxide according to the water-gas shift reaction given by: H2 + CO2 = CO + H2O.

If a reaction is set-up initially with n moles each of H2 and CO2 and none of either of the products, CO and H2O, and the variable x represents the fraction of H2 dissociated at equilibrium. Complete the following table in terms of n and x.

	H2	CO2	CO	H2O	Total moles
Moles at reaction start	n	n	0	0	2n
Moles at equilibrium	N(1-x)				2n

At T=298 K, the equilibrium constant for this reaction is K_p(298)=10^-5. The value of x at 298 K(to a precision of 0.00001)