Nitrogen dioxide and water react to form nitric acid and nitrogen monoxide, like this: 2HNO3 (aq) + NO (g) → 3NO2 (g) + H2O (l)

At a certain temperature, a chemist finds that a 9.5L reaction vessel containing a mixture of nitric acid, nitrogen monoxide, nitrogen dioxide, and water at equilibrium has the following composition:

Compound Amount
HNO3 15.5g
NO 16.6g
NO2 22.5g
H2O 189.0g

Required:
Calculate the value of the equilibrium constant Kc for this reaction.