Two samples of HI each of 5 gram were taken into two vessels of volume...
**Explanation:**
The extent of dissociation of HI in the two vessels can be explained by Le Chatelier's principle and the principles of chemical equilibrium.
**Le Chatelier's Principle:**
According to Le Chatelier's principle, when a system at equilibrium is subjected to a change in conditions, the system will adjust to minimize the effect of that change and maintain equilibrium.
**Principles of Chemical Equilibrium:**
In a chemical equilibrium, the forward and reverse reactions occur at the same rate. The equilibrium constant (Kc) is a measure of the extent of the reaction. For a dissociation reaction like HI ⇌ H+ + I-, the equilibrium constant can be represented as [H+][I-]/[HI].
Now, let's analyze the two vessels separately to understand the extent of dissociation of HI.
**Vessel 1 (5 liters):**
In this vessel, the volume is smaller, and the concentration of HI is higher compared to vessel 2.
- Initially, when 5 grams of HI is taken into a 5-liter vessel, the concentration of HI is 5/127 = 0.039 M (assuming HI is completely dissociated).
- As the extent of dissociation is equal in both cases, let's assume x moles of HI dissociates.
- At equilibrium, the concentration of HI will decrease by x, and the concentrations of H+ and I- will increase by x.
- Therefore, the equilibrium concentrations can be expressed as [HI] = (0.039 - x) M, [H+] = x M, and [I-] = x M.
- Using the equilibrium constant expression, Kc = [H+][I-]/[HI] = (x * x) / (0.039 - x).
- The value of Kc will remain constant at a given temperature for a specific reaction.
**Vessel 2 (10 liters):**
In this vessel, the volume is larger, and the concentration of HI is lower compared to vessel 1.
- Initially, when 5 grams of HI is taken into a 10-liter vessel, the concentration of HI is 5/254 = 0.019 M (assuming HI is completely dissociated).
- As the extent of dissociation is equal in both cases, let's assume x moles of HI dissociates.
- At equilibrium, the concentration of HI will decrease by x, and the concentrations of H+ and I- will increase by x.
- Therefore, the equilibrium concentrations can be expressed as [HI] = (0.019 - x) M, [H+] = x M, and [I-] = x M.
- Using the equilibrium constant expression, Kc = [H+][I-]/[HI] = (x * x) / (0.019 - x).
- The value of Kc will remain constant at a given temperature for a specific reaction.
**Comparison:**
Since the extent of dissociation of HI is equal in both vessels, it implies that the value of x is the same in both cases. However, the concentrations of HI, H+, and I- are different due to the difference in volume.
- In vessel 1, the higher concentration of HI (0.039 M) leads to a higher concentration of H+ and I- at equilibrium.
- In vessel 2, the lower concentration of HI (0.019 M) leads
Two samples of HI each of 5 gram were taken into two vessels of volume...
The equilibrium reaction is 2HI(g)⇔H2(g)+I2(g).
In this reaction, the value of Δn is (1+1)−2=0.
The equilibrium of such a reaction is not affected by the change in pressure. Thus the extent of dissociation of HI will be the same in 5 L vessel and 10 L vessel.