Question

Consider the reaction 2A + b gives 2c for which Kc= 350. if 0.001 mole of each of reactants and product are mixed in 2 litre flask then the reaction quotient and the spontaneous direction of the system will be

Answer 1

Reaction Quotient is 2000 and the spontaneous direction of the system will be on the reverse side.

Explanation:

$K_c$ is the constant of a certain reaction at equilibrium while $Q_c$ is the quotient of activities of products and reactants at any stage other than equilibrium of a reaction.

For the given chemical reaction:

$2A+B\rightleftharpoons 2C$

The expression of $Q_c$ for above equation follows:

$Q_c=\frac{[C]^2}{[A]^2\times [B]}$

We are given:

Moles of each reactant and product = 0.001

Volume of container = 2 L

Concentration of each reactant and product $=\frac{moles}{volume}=\frac{0.001moles}{2L}=0.0005M$  

Putting values in above equation, we get:

$Q_p=\frac{(0.0005)^2}{0.0005\times (0.0005)^2}=2000$

We are given:

$K_c=350$

There are 3 conditions:

When $K_{p}>Q_p$; the reaction is product favored.

When $K_{p}<Q_p$; the reaction is reactant favored.

When $K_{p}=Q_p$; the reaction is in equilibrium.

As, $Q_p>K_p$, the reaction will be spontaneous in the reverse direction or towards the reactants.

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Reaction Quotient

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