Ammonia will decompose into nitrogen and hydrogen at high temperature. An industrial chemist studying this reaction fills a 200. mL flask with 3.4 atm of ammonia gas, and when the mixture has come to equilibrium measures the amount of nitrogen gas to be 1.5 atm. Calculate the pressure equilibrium constant for the decomposition of ammonia at the final temperature of the mixture. Round your answer to 2 significant digits.

See explanation below

Explanation:

In this case, let's write the reaction first:

2NH₃ <> N₂ + 3H₂   Kp = ?

The problem states that we have 3.4 atm initially of ammonia. When the reaction reaches the equilibrium, the concentration of the nitrogen gas (one of the products) is 1.5 atm. All we need to know is the other values of the rest of species there, and then, we can calculate the equilibrium constant (Kp) for the reaction. To do that, we need to write the ICE chart for this reaction:

      2NH₃ <> N₂ + 3H₂

i)      3.4                 0       0

c)    -2x                +x     +3x

e)    3.4-2x             x      3x

The problem is already giving us the equilibrium pressure of the nitrogen, which is 1.5 atm. This would be the value of "x", so replacing in the rest of the species:

PpNH₃ = 3.4 - (2*1.5) = 0.4 atm

PpH₂ = 3*1.5 = 4.5 atm

Now that we have the values of the pressure, we can calculate Kp:

Kp = [H₂]³ [N₂] / [NH₃]²

Replacing the values:

Kp = (4.5)³ (1.5) / (0.4)²

Kp = 854.3

This would be the equilibrium constant value

adding or remove a gaseous reactant or product changes the concentrations. if the concentration of reactant or product is increased, the system will shift away from the side in which concentration was increased (i.e. if the concentration of reactants is increased, the system will shift toward the products. if more products are added, the system will shift to form more reactants). conversely, if the concentration of reactant or product is decreased, the system will shift toward the side in which concentration was decreased (i.e. if reactants are removed, the system will shift to form more reactants. if the concentration of products is decreased, the equilibrium will shift toward the products).

explanation: