Question

If the reaction N2 (g) + 3 H2 (g) --> 2 NH3 (g) has the concentrations 1.1 M for nitrogen, 0.75 M for hydrogen and 0.25 M for ammonia gas, what is the Kc? Show all work. Does this mean that there are more reactants or products at equilibrium? Explain how you determined that.

Answer 1

Answer: The value of
`K_c` is 0.136 and is reactant favored.

Step-by-step explanation:

Equilibrium constant in terms of concentration is defined as the ratio of concentration of products to the concentration of reactants each raised to the power their stoichiometric ratios. It is expressed as
`K_(c)`

For the chemical reaction between carbon monoxide and hydrogen follows the equation:

`N_2(g)+3H_2(g)\rightleftharpoons 2NH_3(g)`

The expression for the
`K_(c)` is given as:

`K_(c)=([NH_3]^2)/([N_2][H_2]^3)`

We are given:

`[NH_3]=0.25M`

`[H_2]=0.75M`

`[N_2]=1.1M`

Putting values in above equation, we get:

`K_c=((0.25)^2)/(1.1* (0.75)^3)`

`K_c=0.135`

There are 3 conditions:

• When
  `K_(c)>1`; the reaction is product favored.
• When
  `K_(c)<1`; the reaction is reactant favored.
• When
  `K_(c)=1`; the reaction is in equilibrium.

For the given reaction, the value of
`K_c` is less than 1. Thus, the reaction is reactant favored.

Hence, the value of
`K_c` is 0.136 and is reactant favored.