Nitrogen react with chlorine to produce nitrogen trichloride. At equilibrium the concentration of each gas were found to be [N2]=0.15M, [Cl2]=0.25M, and [NCl3]=0.50M. calculate the equilibrium constant KC

The balanced equation for the reaction is:

N2 + 3 Cl2 ⟶ 2 NCl3

The equilibrium constant (Kc) expression for this reaction is:

Kc = [NCl3]^2 / ([N2] * [Cl2]^3)

Plugging in the given concentrations:

Kc = (0.50M)^2 / (0.15M * (0.25M)^3)

Kc = 0.25M / (0.00390625M)

Kc ≈ 64

Therefore, the equilibrium constant (Kc) for this reaction is approximately 64.

To calculate the equilibrium constant (Kc) for the reaction, we can use the balanced equation and the concentrations of the reactants and products.

The balanced equation for the reaction between nitrogen (N2) and chlorine (Cl2) to produce nitrogen trichloride (NCl3) is:

N2 + 3Cl2 ↔ 2NCl3

The equilibrium constant expression, Kc, is given by the ratio of the product concentrations to the reactant concentrations, each raised to the power of their respective stoichiometric coefficients:

Kc = [NCl3]^2 / [N2] * [Cl2]^3

Substituting the given concentrations:

Kc = (0.50M)^2 / (0.15M) * (0.25M)^3

Kc = 0.25 / (0.15 * 0.015625)

Kc = 0.25 / 0.00234375

Kc ≈ 106.62

Therefore, the equilibrium constant (Kc) for the reaction between nitrogen and chlorine to produce nitrogen trichloride is approximately 106.62.

To calculate the equilibrium constant, Kc, for the reaction between nitrogen (N2) and chlorine (Cl2) to produce nitrogen trichloride (NCl3), we need to write the balanced chemical equation for the reaction.

The balanced chemical equation for this reaction is:

N2 + 3Cl2 → 2NCl3

From the balanced equation, we can see that the stoichiometric coefficients represent the number of moles of each substance involved in the reaction. Therefore, we can write the equilibrium constant expression, Kc, using the formula:

Kc = ([NCl3]^2) / ([N2] * [Cl2]^3)

Now, substitute the given values into the equation:

[N2] = 0.15 M
[Cl2] = 0.25 M
[NCl3] = 0.50 M

Kc = (0.50^2) / (0.15 * 0.25^3)
Kc = 0.25 / (0.15 * 0.015625)
Kc ≈ 10.667

Therefore, the equilibrium constant, Kc, for the reaction between nitrogen and chlorine to produce nitrogen trichloride is approximately 10.667.