Chemical EquilibriumHardBloom L2
Question
The equilibrium $\text{SO}_2\text{Cl}_2(g) \rightleftharpoons \text{SO}_2(g) + \text{Cl}_2(g)$ is attained at $25^\circ\text{C}$ in a closed container, and an inert gas (helium) is introduced at constant volume. Which of the following statements is correct?
Options
A.Concentrations of $\text{SO}_2$, $\text{Cl}_2$, and $\text{SO}_2\text{Cl}_2$ change
B.More $\text{Cl}_2$ is formed
C.Concentration of $\text{SO}_2\text{Cl}_2$ is reduced
D.All of the above statements are incorrect
Solution
**Given:** Equilibrium $\text{SO}_2\text{Cl}_2(g) \rightleftharpoons \text{SO}_2(g) + \text{Cl}_2(g)$ at $25^\circ\text{C}$; an inert gas (He) is added at constant volume.
**Key Principle:** When an inert gas is added at **constant volume**, the volume of the container does not change. Therefore, the concentrations (moles per unit volume) of all reacting species — $\text{SO}_2\text{Cl}_2$, $\text{SO}_2$, and $\text{Cl}_2$ — remain unchanged.
**Analysis of each option:**
$$K_c = \frac{[\text{SO}_2][\text{Cl}_2]}{[\text{SO}_2\text{Cl}_2]}$$
Since volume is constant, adding He does not alter any concentration, so $Q_c = K_c$ and equilibrium is undisturbed.
- **Option A:** Incorrect — concentrations do not change at constant volume.
- **Option B:** Incorrect — no additional $\text{Cl}_2$ is formed; equilibrium does not shift.
- **Option C:** Incorrect — concentration of $\text{SO}_2\text{Cl}_2$ does not decrease.
**Answer: (D)**
Create a free account to view solution
View Solution FreeMore Chemical Equilibrium Questions
The reaction ZnO(s) + CO(g) $\rightleftharpoons$Zn(g) + CO2(g) has an equilibrium constant of 1 atm at 1500 K. The equil...For the reaction PCl5(g) $\rightleftharpoons$ PCl3(g) + Cl2(g), if initial moles of PCl5 is ‘x’, α is the degree of diss...The following equilibrium are given CO + H2O ⇋ CO2 + H2 ----- K12H2 + O2 ⇋ 2H2O ------ K2then equilibrium co...For the reaction H2(g) + I2(g) $\rightleftharpoons$2HI(g), the value of equilibrium constant is 9.0. The degree of disso...2 mole each of SO3, CO, SO2 and CO2 is taken in a one lit. vessel. If KC for SO3(g) + CO(g) ⇋ SO2(g) + CO2(g) is 1...