Ethene reacts reversibly with hydrogen to form ethane. Initially

$0\mathrm{.}34$ moles of ethene were placed in a reaction vessel with

$0\mathrm{.}53$ moles of hydrogen. At equilibrium, the quantity of ethane

was found to be $0\mathrm{.}099$ moles. All reactants and products are in

the gaseous state. Calculate the equilibrium constant for the

reaction to form ethane. The volume of the reaction vessel was $1$ dm$3$