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Statement-1 : Molarity and molality have...

Statement-1 : Molarity and molality have almost same value for a very dilute aqueous solution
Statement-2 : In all very dilute solution, the mass of solvent (in gm) is equal to the volume of solution (in ml)

A

Statement-1 is true, statement -2 is true and statement-2 is correct explanation for statement-2

B

Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-2

C

Statement-1 is false, statement-2 is true

D

Statement-1 is true, statement-2 is false

Text Solution

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The correct Answer is:
To analyze the given statements, we will break down the concepts of molarity and molality, and how they relate to very dilute solutions. ### Step-by-Step Solution: 1. **Understanding Molarity and Molality**: - **Molarity (M)** is defined as the number of moles of solute per liter of solution. It is expressed as: \[ M = \frac{\text{moles of solute}}{\text{volume of solution in liters}} \] - **Molality (m)** is defined as the number of moles of solute per kilogram of solvent. It is expressed as: \[ m = \frac{\text{moles of solute}}{\text{mass of solvent in kg}} \] 2. **Analyzing Statement 1**: - The statement claims that molarity and molality have almost the same value for very dilute aqueous solutions. - In very dilute solutions, the volume of the solution is approximately equal to the mass of the solvent (water) because the density of water is approximately 1 g/mL. - Therefore, for very dilute solutions, we can say: - 1 L of solution ≈ 1 kg of solvent (since 1 L of water has a mass of approximately 1000 g). - This implies that for very dilute solutions: \[ M \approx m \] - Thus, **Statement 1 is true**. 3. **Analyzing Statement 2**: - The statement claims that in all very dilute solutions, the mass of solvent (in grams) is equal to the volume of solution (in mL). - For very dilute aqueous solutions, this is generally true because: - The density of water is approximately 1 g/mL, which means 1 mL of water has a mass of approximately 1 g. - Therefore, for very dilute solutions, the mass of solvent (in grams) can be considered equal to the volume of solution (in mL). - Thus, **Statement 2 is also true**. 4. **Conclusion**: - Since both statements are true, we need to determine if Statement 2 provides the correct explanation for Statement 1. - Statement 2 explains why molarity and molality are approximately equal in very dilute solutions, as it highlights the relationship between the mass of solvent and the volume of solution. - Therefore, **Statement 2 is the correct explanation for Statement 1**. ### Final Answer: Both statements are true, and Statement 2 is the correct explanation for Statement 1. The correct option is: - **Option A**: Statement 1 is true, Statement 2 is true, Statement 2 is the correct explanation for Statement 1.
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ALLEN- CONCENTRATION TERMS-Exercise O-II
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