The equilibrium `SO_(2)Cl_(2)(g)hArrSO_(2)(g)+Cl_(2)(g)` is attained at `25^(@)C` in a closed container and an inert gas, helium is introduced. Which of the following statements are correct?

Options

A. Concentration of `SO_(2), Cl_(2)` and `SO_(2)Cl_(2)` change
B. More chlorine is formed
C. Concentration of `SO_(2)` is reduced
D. None of the above

Answer

To solve the question regarding the equilibrium reaction \( SO_2Cl_2(g) \rightleftharpoons SO_2(g) + Cl_2(g) \) when an inert gas (helium) is introduced into a closed container, we will analyze the effects of adding an inert gas on the equilibrium state.

### Step-by-Step Solution:

1. **Understanding the Reaction**:
The equilibrium reaction involves the decomposition of sulfur dichloride (\( SO_2Cl_2 \)) into sulfur dioxide (\( SO_2 \)) and chlorine gas (\( Cl_2 \)).

2. **Effect of Inert Gas**:
When an inert gas like helium is introduced into the system at constant volume, it does not react with any of the components of the equilibrium.

3. **Constant Volume**:
Since the volume of the container is constant, the addition of helium will not change the concentrations of the reactants and products. Concentration is defined as the number of moles of a substance per unit volume. Therefore, the concentrations of \( SO_2Cl_2 \), \( SO_2 \), and \( Cl_2 \) remain unchanged.

4. **Equilibrium Position**:
Because the concentrations of the reactants and products do not change, the position of equilibrium remains unchanged. The equilibrium constant \( K_c \) for the reaction is dependent on the concentrations of the reactants and products, which are constant in this case.

5. **Total Pressure**:
The total pressure of the system will increase due to the addition of the inert gas. However, this increase in total pressure does not affect the equilibrium position because it does not change the partial pressures of the reacting gases.

6. **Conclusion**:
- The introduction of an inert gas at constant volume does not shift the equilibrium position.
- The concentrations of the reactants and products remain unchanged.
- The total pressure of the system increases.

### Final Statements:
Based on the analysis, the correct statements regarding the equilibrium when an inert gas is introduced are:
- The equilibrium position does not change.
- The concentrations of \( SO_2Cl_2 \), \( SO_2 \), and \( Cl_2 \) remain the same.
- The total pressure increases.