The value of molar conductivity of `HCl` is greater than that of `NaCl` at a particular temperature because

Options

A. Molecular mass of `HCl` is less thatn that of `NaCl`
B. Velocity of `H^(o+)` ions is more than that of `Na^(o+)` ions.
C. `HCl` is stongly acidic.
D. Ionization of `HCl` is larger than that of `NaCl`.

Explanation

To determine why the molar conductivity of HCl is greater than that of NaCl at a particular temperature, we can analyze the properties of the ions involved and their behavior in solution. Here’s a step-by-step solution:

### Step 1: Understand Molar Conductivity
Molar conductivity (Λm) is defined as the conductance of all the ions produced from one mole of an electrolyte in a solution. It is influenced by the concentration of ions and their mobility.

**Hint:** Molar conductivity is related to how well ions can move through a solution.

### Step 2: Compare the Electrolytes
HCl is a strong acid that dissociates completely in water to produce H⁺ and Cl⁻ ions, while NaCl dissociates into Na⁺ and Cl⁻ ions. Both solutions contain Cl⁻ ions, but the cations are different.

**Hint:** Identify the ions produced by each electrolyte when dissolved in water.

### Step 3: Evaluate Ion Mobility
The mobility of ions is a crucial factor in determining molar conductivity. H⁺ ions are known to have a higher mobility compared to Na⁺ ions. This is due to the smaller size and lower mass of H⁺ ions, which allows them to move more quickly through the solution.

**Hint:** Consider how the size and mass of ions affect their movement in a solution.

### Step 4: Analyze Ionization
HCl ionizes completely in solution, producing more H⁺ ions per mole compared to NaCl, which also ionizes completely but produces Na⁺ ions that are less mobile. The greater the number of mobile ions, the higher the conductivity.

**Hint:** Think about how complete ionization affects the number of charge carriers in the solution.

### Step 5: Conclusion
Since H⁺ ions have higher mobility than Na⁺ ions, and HCl ionizes completely, the molar conductivity of HCl is greater than that of NaCl at the same temperature.

**Final Answer:** The molar conductivity of HCl is greater than that of NaCl because H⁺ ions have higher mobility than Na⁺ ions.