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A: 1M solution and 1 molal solution cont...

A: 1M solution and 1 molal solution contain same mass of solute.
R: 1M and 1m aqueous solution are equally concentrated.

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To solve the question, we need to analyze the assertion and reason provided: **Assertion (A):** A 1M solution and a 1 molal solution contain the same mass of solute. **Reason (R):** 1M and 1m aqueous solutions are equally concentrated. ### Step-by-Step Solution: 1. **Understanding Molarity (M):** - Molarity (M) is defined as the number of moles of solute per liter of solution. - A 1M solution means there is 1 mole of solute in 1 liter of solution. 2. **Understanding Molality (m):** - Molality (m) is defined as the number of moles of solute per kilogram of solvent. - A 1 molal solution means there is 1 mole of solute in 1 kilogram of solvent. 3. **Mass of Solute:** - In both cases (1M and 1m), the number of moles of solute is the same (1 mole). - Therefore, the mass of solute can be calculated using the molar mass of the solute. If the molar mass is \(M_{solute}\), then the mass of solute in both cases is: \[ \text{Mass of solute} = 1 \text{ mole} \times M_{solute} \] - Since both solutions contain 1 mole of solute, they contain the same mass of solute. 4. **Concentration Comparison:** - The concentration of a solution is defined as the amount of solute per unit volume of solution. - In a 1M solution, the total volume is 1 liter, which includes both the solute and the solvent. - In a 1 molal solution, the solvent is 1 kg (or 1 liter, assuming the density of water is approximately 1 g/mL), but the total volume of the solution will be slightly more than 1 liter due to the addition of the solute. 5. **Conclusion on Concentration:** - Since the volume of the 1M solution is exactly 1 liter, while the volume of the 1 molal solution is slightly more than 1 liter, the concentration of the 1M solution is greater than that of the 1 molal solution. - Therefore, the assertion is true, but the reason is false. ### Final Answer: - **Assertion (A) is True.** - **Reason (R) is False.**
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