some nitrogen and hydrogen gases are pumped into an empty 5.00liter vessel at 500°c. when equilibrium was established, 3.00 moles of n, 2.10 moles of h and 0.298 moles of nh were present. evaluate kc at 500°c
To find the value of Kc at 500°C, we need to write the expression for the equilibrium constant for the reaction:
N2(g) + 3H2(g) ⇌ 2NH3(g)
The balanced equation gives us the stoichiometric coefficients needed for the Kc expression.
Kc = [NH3]^2 / ([N2][H2]^3)
From the given information, we know that there are:
[NH3] = 0.298 moles
[N2] = 3.00 moles
[H2] = 2.10 moles
Substituting these values into the Kc expression:
Kc = (0.298)^2 / ((3.00)(2.10)^3)
Kc = 0.08858 / (3.00)(9.261)
Kc ≈ 0.0030
Therefore, the value of Kc at 500°C is approximately 0.0030.