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In the following reaction : 2SO(2)(g)+...

In the following reaction `:`
`2SO_(2)(g)+O_(2)(g) hArr 2SO_(3)(g)`
the equilibrium is not attained . The rate of forward reaction is greater than that of backward. Thus, which of the following is the correct relation between `K_(p)` and `Q_(p)` ?

A

`K_(p)=Q_(p)`

B

`Q_(p)gt K_(p)`

C

`Q_(p) lt K_(p)`

D

`K_(p) = Q_(p) =1`

Text Solution

AI Generated Solution

The correct Answer is:
To determine the relationship between \( K_p \) and \( Q_p \) for the reaction: \[ 2SO_2(g) + O_2(g) \rightleftharpoons 2SO_3(g) \] we need to analyze the definitions of \( K_p \) and \( Q_p \) and the information provided in the question. ### Step 1: Understand the Definitions - **Equilibrium Constant (\( K_p \))**: This is the ratio of the partial pressures of the products to the reactants at equilibrium. - **Reaction Quotient (\( Q_p \))**: This is the same ratio as \( K_p \), but it can be calculated at any point in time, not just at equilibrium. ### Step 2: Write the Expressions For the reaction given, the expressions for \( K_p \) and \( Q_p \) can be written as follows: \[ K_p = \frac{(P_{SO_3})^2}{(P_{SO_2})^2 \cdot (P_{O_2})} \] \[ Q_p = \frac{(P_{SO_3})^2}{(P_{SO_2})^2 \cdot (P_{O_2})} \] ### Step 3: Analyze the Given Information The question states that the equilibrium is not attained and that the rate of the forward reaction is greater than that of the backward reaction. This indicates that the reaction is still proceeding towards the formation of products (in this case, \( SO_3 \)). ### Step 4: Determine the Relationship Since the forward reaction is favored and more \( SO_3 \) is being produced, it implies that \( Q_p \) (which is calculated based on the current concentrations/pressures of the reactants and products) is less than \( K_p \) (which represents the state at equilibrium). Thus, we conclude that: \[ K_p > Q_p \] ### Final Answer The correct relation between \( K_p \) and \( Q_p \) is: \[ K_p > Q_p \]
To determine the relationship between \( K_p \) and \( Q_p \) for the reaction: \[ 2SO_2(g) + O_2(g) \rightleftharpoons 2SO_3(g) \] we need to analyze the definitions of \( K_p \) and \( Q_p \) and the information provided in the question. ...
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