Consider the reaction. A ( aq ) − ⇀ ↽ − 3 B ( aq ) K c = 4.99 × 10 − 6 at 500 K A ( aq ) ↽ − − ⇀ 3 B ( aq ) K c = 4.99 × 10 − 6 at 500 K If a 3.60 M 3.60 M sample of A is heated to 500 K 500 K , what is the concentration of B at equilibrium?

Respuesta :

Answer : The concentration of B at equilibrium is 0.0262 M.

Solution :

The given equilibrium reaction is,

                             [tex]A(aq)\rightleftharpoons 3B(aq)[/tex]

Initially conc.       3.60         0

At eqm.             (3.60-x)       3x

The expression of [tex]K_c[/tex] will be,

[tex]K_c=\frac{[B]^3}{[A]}[/tex]

Now put all the value in this equation, we get:

[tex]4.99\times 10^{-6}=\frac{(3x)^3}{(3.60-x)}[/tex]

By solving the term, we get:

x = 0.00872 M

Thus, the concentration of B at equilibrium = 3x = 3(0.00872 M) = 0.0262 M

Therefore, the concentration of B at equilibrium is 0.0262 M.

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