The equilibrium constant for the reaction: 2NO(g) + Br2(g) <----> 2NOBr(g) is Kc = 1.3x10^-2 at 1,000 K
a.) At this temperature, does the equilibrium favor the product or reactants?
b.) Calculate Kc for 2NOBr <----> 2NO + Br2
c.) Calculate Kc for NOBr <----> NO + 1/2Br2
The concept used here is based on equilibrium constant (
) which applies where everything in the equilibrium reaction is in the same phase. This equilibrium constant is in terms of concentration which is represented by
.
Firstly, the new state of equilibrium can be determined using the given condition. Then use the expression of
for the other reactions also.
The general reaction in equilibrium is shown below.

The expression for the equilibrium constant can be written as follows.

…… (1)
Here,
is the equilibrium constant for the reaction.
If
, the reaction is in equilibrium.
If
, the reaction will favor the reactants.
If
, the reaction will favor the products
(1)
The given equilibrium reaction is shown below.

Write the equilibrium constant for this reaction using the equation (1):
![K - [NOBr]
[NO] [Br]
K=](http://img.homeworklib.com/questions/8c5cb850-ff35-11eb-8bc6-d5d664b9c4e8.png?x-oss-process=image/resize,w_560)
Substitute
as the value of
in the above equation.
…… (2)
(2)
The given equilibrium reaction is shown below.

Write the equilibrium constant for this reaction using the equation (1):
![[NO] [Br]
[NOBr]](http://img.homeworklib.com/questions/8e208410-ff35-11eb-995b-550c68596e1b.png?x-oss-process=image/resize,w_560)
Substitute
as the value of
from equation (2) in this.
![[NO[Br, ]
* *1.3x10([NOT [Br,1)
K = 77](http://img.homeworklib.com/questions/8f1cdf90-ff35-11eb-851e-f755ad3be1c3.png?x-oss-process=image/resize,w_560)
(3)
The equilibrium reaction is shown below.

Write the equilibrium constant for this reaction using the equation (1):
![K. - [NO][Br.]
[NOBr]](http://img.homeworklib.com/questions/8fcb0660-ff35-11eb-bcc3-3f26e49708ad.png?x-oss-process=image/resize,w_560)
By squaring on both sides, the equation will be as follows.
![(K) - [NO][Br,]
NOBr?](http://img.homeworklib.com/questions/902adf90-ff35-11eb-8701-9724af46a2a6.png?x-oss-process=image/resize,w_560)
Substitute
as the value of
from equation (II) in this.
![[NO][Br]
(K) =-
1.3x10²([NO][Br])
K = 777
K = 8.8](http://img.homeworklib.com/questions/91333da0-ff35-11eb-86c1-9135ac602fd2.png?x-oss-process=image/resize,w_560)
The equilibrium favors
and
.
The value of
for
is
.
The value of
for
is
.

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