Mass action rato or reaction quotient Q for a reaction can be calculate using the law of masss action
`A(g)+B(g) hArr C(g)+D(g)`
`Q=([C][D])/([A][B])`
The value of Q decides whether the reaction is at equilibrium or not.
At equilibrium, `Q=K`
For an equilibrium process, `Q ne K`
when `Q gt K`, reaction will favour backward direction and when `Q lt K`, it will favour direction.
Answer the following questions:
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 reaction. Thus, which of the following is the correct relation between `K_(p)` and `Q_(p)`?

Options

A. `K_(p)=Q_(p)`
B. `Q_(p) gt K_(p)`
C. `Q_(p) lt K_(p)`
D. `K_(p)=Q_(p)=1`

Explanation

To solve the problem, we need to analyze the given reaction and the information provided about the rates of the forward and backward reactions.

### Step-by-Step Solution:

1. **Identify the Reaction**:
The reaction given is:
\[ 2SO_2(g) + O_2(g) \rightleftharpoons 2SO_3(g) \]

2. **Understand the Concept of Reaction Quotient (Q)**:
The reaction quotient \( Q \) is calculated using the concentrations of the products and reactants at any point in time:
\[ Q = \frac{[SO_3]^2}{[SO_2]^2[O_2]} \]

3. **Equilibrium Constant (K)**:
The equilibrium constant \( K_p \) for this reaction at equilibrium is defined similarly:
\[ K_p = \frac{[SO_3]^2}{[SO_2]^2[O_2]} \]

4. **Analyze the Given Condition**:
It is stated that the equilibrium is not attained, and the rate of the forward reaction is greater than that of the backward reaction. This indicates that the reaction is still proceeding in the forward direction.

5. **Determine the Relationship Between Q and K**:
- When the forward reaction is favored, it means that the concentration of products is increasing relative to the reactants.
- Since the forward reaction is occurring at a greater rate, \( Q \) must be greater than \( K \) for the reaction to favor the backward direction to reach equilibrium.

6. **Conclusion**:
Therefore, the correct relationship between \( Q_p \) and \( K_p \) is:
\[ Q_p > K_p \]

### Final Answer:
The correct relation between \( K_p \) and \( Q_p \) is:
\[ Q_p > K_p \]