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Assertion: One molar aqueous solution is...

Assertion: One molar aqueous solution is more concentrated than that of 1 molal aqueous solution .
Reason : Molarity is a function of temperature as volume depends on temperature.

A

If both assertion and reason are true and reason is the correct explanation of assertion

B

If both assertion and reason are true but reason is not the correct explanation of assertion.

C

If assertion is true but reason is false

D

If both assertion and reason are false

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze the assertion and the reason provided: **Assertion:** One molar aqueous solution is more concentrated than that of one molal aqueous solution. **Reason:** Molarity is a function of temperature as volume depends on temperature. ### Step-by-Step Solution: 1. **Understanding Molarity and Molality:** - Molarity (M) is defined as the number of moles of solute per liter of solution. - Molality (m) is defined as the number of moles of solute per kilogram of solvent. 2. **Comparing Molarity and Molality:** - For a 1 molal solution, we have 1 mole of solute dissolved in 1 kg of solvent (water). - For a 1 molar solution, we have 1 mole of solute dissolved in enough water to make the total volume of the solution 1 liter. 3. **Density of Water:** - The density of water is approximately 1 g/cm³, which means 1 kg of water occupies about 1 liter of volume. - However, when we dissolve a solute in water, the total volume of the solution may be less than 1 liter due to the solute's volume. 4. **Volume Considerations:** - In a 1 molal solution, we have 1 kg of water (1 liter) plus the volume of the solute. - In a 1 molar solution, the volume is fixed at 1 liter, which includes both the solute and the solvent. 5. **Concentration Comparison:** - Since the 1 molal solution has 1 mole of solute in 1 kg of solvent, and the 1 molar solution has 1 mole of solute in a volume that may be less than 1 liter, the concentration of the 1 molal solution is generally higher than that of the 1 molar solution. - Therefore, the assertion is incorrect. 6. **Analyzing the Reason:** - The reason states that molarity is a function of temperature because volume depends on temperature. - This statement is correct since the volume of a solution can change with temperature, affecting the molarity. 7. **Conclusion:** - The assertion is false, but the reason is true. Therefore, the correct answer is that the assertion is incorrect, while the reason is correct. ### Final Answer: The assertion is false, and the reason is true.

To solve the question, we need to analyze the assertion and the reason provided: **Assertion:** One molar aqueous solution is more concentrated than that of one molal aqueous solution. **Reason:** Molarity is a function of temperature as volume depends on temperature. ### Step-by-Step Solution: ...
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