n a reaction where all gases are at the same temperature and pressure, ammonia reacts with oxygen to produce nitrogen monoxide and water vapor. Calculate the volume of oxygen gas and the volume of ammonia gas needed to produce 8.0 L of nitrogen monoxide.

The balanced chemical equation for the reaction is:

4NH3(g) + 5O2(g) -> 4NO(g) + 6H2O(g)

From the stoichiometry of the reaction, it can be seen that 4 volumes of NH3 reacts with 5 volumes of O2 to produce 4 volumes of NO. Additionally, since the reaction takes place at constant temperature and pressure, the volume of gases is directly proportional to the molar volume.

Given that 8.0 L of NO is produced, we can calculate the volume of O2 and NH3 used in the reaction as follows:

Volume of O2 needed = (5/4) x 8.0 L = 10.0 L
Volume of NH3 needed = (4/4) x 8.0 L = 8.0 L

Therefore, 10.0 L of oxygen gas and 8.0 L of ammonia gas are needed to produce 8.0 L of nitrogen monoxide.