For the reaction 2 SO 2 ( g ) + O 2 ( g ) − ⇀ ↽ − 2 SO 3 ( g ) the equilibrium constant is K c = 15 M − 1 at 850 K . Three sets of concentrations are given for the three gases in the reaction. For each set, predict the direction in which the net reaction will proceed toward equilibrium.

Respuesta :

The given question is incomplete. The complete question is :

For the reaction [tex]2SO_2(g )+O_2(g )\rightleftharpoons 2SO_3 (g )[/tex] the equilibrium constant is K c = 15 M − 1 at 850 K . Three sets of concentrations are given for the three gases in the reaction. For each set, predict the direction in which the net reaction will proceed toward equilibrium.

a) [tex][SO_2]=0.16M[/tex], [tex][O_2]=0.20M[/tex], and [tex][SO_3]=0.50M[/tex],

b) [tex][SO_2]=0.20M[/tex], [tex][O_2]=0.60M[/tex], and [tex][SO_3]=0.60M[/tex],

c) [tex][SO_2]=0.50M[/tex], [tex][O_2]=0.60M[/tex], and [tex][SO_3]=0.15M[/tex],

Answer: a) the reaction will proceed in in backward direction

b) The reaction is in equilibrium

c) The reaction wil proceed in forward direction

Explanation:

Reaction quotient (Q) : It is defined as the measurement of the relative amounts of products and reactants present during a reaction at a particular time.

Conditions are:

When K < Q; the reaction is favored to the left or in backward direction or reactants are formed more.

When K > Q; the reaction is favored to the right or in forward direction or products are formed more.

When K = Q; the reaction is in equilibrium.

a) [tex]Q=\frac{[SO_3]^2}{[SO_2]^2\times [O_2]}=\frac{(0.50)^2}{(0.16)^2\times (0.20)}=48.8[/tex], the reaction will proceed in in backward direction

b) [tex]Q=\frac{[SO_3]^2}{[SO_2]^2\times [O_2]}=\frac{(0.60)^2}{(0.20)^2\times (0.60)}=15[/tex], is in equilibrium

c) [tex]Q=\frac{[SO_3]^2}{[SO_2]^2\times [O_2]}=\frac{(0.15)^2}{(0.50)^2\times (0.60)}=0.15[/tex], the reaction wil proceed in forward direction