Nitrosyl bromide decomposes according to the chemical equation below. 2NOBr(g) ↔ 2NO(g) + Br2(g) When 0.260 atm of NOBr is sealed in a flask and allowed to reach equilibrium, 22% of the NOBr decomposes. What is the equilibrium constant, Kp, for the reaction?

Respuesta :

Answer:Equilibrium constant, Kp, for the reaction is 0.00227

Explanation:

We are given:

The chemical reaction for the decomposition follows the equation:

                  [tex]2NOBr(g)\rightleftharpoons 2NO(g)+Br_2(g)[/tex]

At t = 0          0.260           0     0    

At [tex]t=t_{eq}[/tex]      0.260-2x          2x       x

The expression for [tex]K_p[/tex] for the given reaction follows:

[tex]K_p=\frac{(p_{NO})^2\times p_{Br_2}}{(p_{NOBr})^2}[/tex]

We are given:

[tex]2x=\frac{22}{100}\times 0.260=0.0572[/tex]

[tex]x=0.0286[/tex]

Putting values in above equation, we get:

[tex]K_p=\frac{(2x)^2\times x}{(0.260-2x)^2}[/tex]

[tex]K_p=\frac{(0.0572)^2\times 0.0286}{(0.260-0.0572)^2}[/tex]

[tex]K_p=0.00227[/tex]

Thus equilibrium constant, Kp, for the reaction is 0.00227

We have that for the Question "What is the equilibrium constant, Kp, for the reaction [tex]2NOBr(g) ↔ 2NO(g) + Br_2[/tex]"

Answer:

  • Equilibrium constant [tex]K_p = 2.27*10^{-3}[/tex]

From the question we are told

0.260 atm of NOBr is sealed in a flask and allowed to reach equilibrium, 22% of the NOBr decomposes

2NOBr       ↔       2NO(g) + Br_2

0.26                       0                0

-2X                        +2X             X

[tex]= \frac{22*0.26}{100} = 2X\\\\= 0.0572 =2X[/tex]

At equilibrium,

[tex]NOBr = 0.26-0.0572 = 0.2028atm\\\\NO = 0.0572atm\\\\Br_2 = \frac{0.0572}{2} =0.0286[/tex]

Therefore,

[tex]K_p = (0.0572)^2 * \frac{0.0286}{(0.203)^2}\\\\K_p = 2.27*10^{-3}[/tex]

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