"If the initial concentrations of N2O4 and H2O are 3.60 M."
do u mean both combined, or for both respectively?
anyway, to solve this equation, convert all given data to moles first.
applying what we know, concentration is mol/dm3, and all gases have a definite constant volume of 24dm3 per mole.
thus, find how many moles of water there were initially, then based on the equation, 4 moles of ammonia react with 7 moles of oxygen to form 2 moles of hydrazine and 6 moles of water.
subtract the moles of water in equilibrium from the moles of water initially, then u will see how many moles of water were converted.
then u calculate the respective moles of hydrazine that must be converted too, and then find subtract that from the initial moles of hydrazine. that gives u the moles of hydrazine in equilibrium. then, apply the gas volume constant and u have your answer!