Method for how to get answer? Thank you!

For the equilibrium reaction below. To what is Kc equal?
N2(g) + 3H2(g) ↔ 2NH3(g)
a.
[N2] + 3[H2]
------------------
2[NH3]

b.
[N2][H2]3
------------------
[NH3]2

c.
2[NH3]
---------------
[N2]+ 3[H2]

d.
[NH3]2
---------------
[N2][H2]3

P = products

R = reactants
c = coefficients
Kc = (p)^c/(R)^c)

I've seen some text where the products are called RHS (right hand side) and the reactants called LHS (left hand side) then Kc is defined as (RHS)/(LHS) with coefficients becoming exponents.

To determine the answer for the equilibrium reaction, you need to understand the concept of equilibrium constant (Kc) and its expression.

The equilibrium constant (Kc) is a value that describes the ratio of the concentrations of products to the concentrations of reactants at equilibrium. It allows us to quantify the extent to which a reaction reaches equilibrium.

For the given equilibrium reaction:
N2(g) + 3H2(g) ↔ 2NH3(g)

The expression for Kc is obtained by dividing the concentration of the products raised to their stoichiometric coefficients by the concentration of the reactants raised to their stoichiometric coefficients.

Now, let's examine each option to determine which one matches the correct expression for Kc:

a. [N2] + 3[H2] / 2[NH3]
This option does not match the correct expression for Kc because it uses the sum of concentrations in the numerator instead of multiplying them.

b. [N2][H2]^3 / [NH3]^2
This option matches the correct expression for Kc because it multiplies the concentrations of the reactants/products with their respective stoichiometric coefficients in the numerator and denominator.

c. 2[NH3] / [N2] + 3[H2]
This option does not match the correct expression for Kc because it does not include the stoichiometric coefficients.

d. [NH3]^2 / [N2][H2]^3
This option does not match the correct expression for Kc because it incorrectly places the stoichiometric coefficients in the denominator rather than the numerator.

Therefore, the answer for the equilibrium reaction is:
b. [N2][H2]^3 / [NH3]^2