Statement-1 : The mass fraction of solute in a solution is always greater than its mole fraction
Statement-2 : Mole fraction of solvent in an aqueous solution of ethanol must be greater than that of solute

Options

A. Statement-1 is true, statement -2 is true and statement-2 is correct explanation for statement-4
B. Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-4
C. Statement-1 is false, statement-2 is true
D. Statement-1 is true, statement-2 is false

Answer

To analyze the given statements and determine their validity, we can break down the solution into clear steps.

### Step-by-Step Solution:

1. **Understanding Statement 1:**
- **Statement:** The mass fraction of solute in a solution is always greater than its mole fraction.
- **Analysis:**
- The mass fraction (w) of a solute is defined as the mass of the solute divided by the total mass of the solution.
- The mole fraction (χ) of a solute is defined as the number of moles of the solute divided by the total number of moles of all components in the solution.
- To evaluate this statement, we can consider a specific example:
- Suppose we have a solution with 20% H₂ (mass fraction = 0.2).
- The molar mass of H₂ is 2 g/mol, so for 20 g of H₂, we have 10 moles of H₂.
- If the solution is 80 g of water (molar mass = 18 g/mol), we have approximately 4.44 moles of water.
- The total moles in the solution = 10 moles (H₂) + 4.44 moles (H₂O) = 14.44 moles.
- Therefore, the mole fraction of H₂ = 10 / 14.44 ≈ 0.693.
- Since the mass fraction of H₂ (0.2) is less than its mole fraction (0.693), the statement is **false**.

2. **Understanding Statement 2:**
- **Statement:** The mole fraction of solvent in an aqueous solution of ethanol must be greater than that of solute.
- **Analysis:**
- In an aqueous solution of ethanol, the solvent is water, and the solute is ethanol.
- The mole fraction of the solvent (water) will generally be greater than that of the solute (ethanol) because water is the major component in most aqueous solutions.
- For example, in a dilute solution of ethanol in water, the amount of water is significantly larger than the amount of ethanol, leading to a higher mole fraction for water.
- Therefore, this statement is generally **true**.

3. **Conclusion:**
- From the analysis, we conclude:
- Statement 1 is **false**.
- Statement 2 is **true**.
- Thus, the correct answer is **Option D**: Statement 1 is false, Statement 2 is true.