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Assertion (A): A molar solution is more ...

Assertion (A): A molar solution is more concentrated than molal solution.
Reason (R): A molar solution contains one mole of solute in 1000 mL of solution.

A

Both A and R are true and R is the correct explanation of A

B

Both A and R are true but R is NOT the correct explanation of A

C

A is true but R is false

D

A is false and R is True

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding the assertion and reason about molar and molal solutions, we will analyze both statements step by step. ### Step 1: Understanding Molarity and Molality - **Molarity (M)** is defined as the number of moles of solute per liter of solution. The formula is: \[ M = \frac{n}{V} \] where \( n \) is the number of moles of solute and \( V \) is the volume of the solution in liters. - **Molality (m)** is defined as the number of moles of solute per kilogram of solvent. The formula is: \[ m = \frac{n}{W} \] where \( n \) is the number of moles of solute and \( W \) is the weight of the solvent in kilograms. ### Step 2: Analyzing the Assertion (A) - The assertion states that a molar solution is more concentrated than a molal solution. To determine if this is true, we need to compare the concentration of both solutions. ### Step 3: Analyzing the Reason (R) - The reason states that a molar solution contains one mole of solute in 1000 mL of solution. This is indeed correct as it defines a 1 M solution. ### Step 4: Comparison of Concentrations - Let's assume we have a 1 molal solution (1 m) and a 1 molar solution (1 M). For a 1 molal solution, if we take 1 kg of water (which is approximately 1000 mL), the volume of the solution will be greater than 1000 mL because the solute will occupy some volume. - Therefore, for a 1 molal solution, the volume of the solution will be slightly more than 1 L (1000 mL) due to the added solute. ### Step 5: Conclusion - Since the volume of the solution in the case of molality is greater than 1 L, the number of moles of solute in a 1 molal solution will be less than that in a 1 molar solution when both are compared at the same weight of solvent. - Hence, a 1 molar solution is indeed more concentrated than a 1 molal solution. ### Final Answer - Both the assertion (A) and the reason (R) are true, and the reason correctly explains the assertion.

To solve the question regarding the assertion and reason about molar and molal solutions, we will analyze both statements step by step. ### Step 1: Understanding Molarity and Molality - **Molarity (M)** is defined as the number of moles of solute per liter of solution. The formula is: \[ M = \frac{n}{V} \] where \( n \) is the number of moles of solute and \( V \) is the volume of the solution in liters. ...
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