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One among the following is an incorrect ...

One among the following is an incorrect statement -

A

Molality of a solution is dependent on the temperature

B

Molarity of a solution is dependent on the temperature

C

Normality of 0.5 M aqueous solution of `H_(2)C_(2)O_(4). 2H_(2)O` is 1 N

D

Molality of a solution relates moles of solute and mass of solvent

Text Solution

AI Generated Solution

The correct Answer is:
To determine which statement is incorrect, we will analyze each statement one by one. ### Step 1: Analyze the first statement **Statement:** "Molality of a solution is dependent on the temperature." **Analysis:** - Molality (m) is defined as the number of moles of solute per kilogram of solvent. - The formula for molality is: \[ \text{Molality (m)} = \frac{\text{Number of moles of solute}}{\text{Mass of solvent (kg)}} \] - Since this definition involves mass (which does not change with temperature) and does not involve volume, molality is independent of temperature. **Conclusion:** This statement is **incorrect**. ### Step 2: Analyze the second statement **Statement:** "Molarity of a solution is dependent on the temperature." **Analysis:** - Molarity (M) is defined as the number of moles of solute per liter of solution. - The formula for molarity is: \[ \text{Molarity (M)} = \frac{\text{Number of moles of solute}}{\text{Volume of solution (L)}} \] - Since the volume of a solution can change with temperature (due to thermal expansion), molarity is indeed dependent on temperature. **Conclusion:** This statement is **correct**. ### Step 3: Analyze the third statement **Statement:** "Normality of 0.5 molar aqueous solution of H2C2O4 is 1 normal." **Analysis:** - The n-factor for H2C2O4 (oxalic acid) is 2 because it can donate 2 protons (H+ ions). - Normality (N) is related to molarity (M) by the formula: \[ \text{Normality (N)} = \text{Molarity (M)} \times \text{n-factor} \] - Given that the molarity is 0.5 M and the n-factor is 2: \[ \text{Normality} = 0.5 \, \text{M} \times 2 = 1 \, \text{N} \] **Conclusion:** This statement is **correct**. ### Step 4: Analyze the fourth statement **Statement:** "Molality of a solution relates moles of solute and mass of solvent." **Analysis:** - As previously defined, molality is indeed defined as the number of moles of solute per kilogram of solvent. - This statement accurately reflects the definition of molality. **Conclusion:** This statement is **correct**. ### Final Conclusion The incorrect statement among the options provided is the first statement: "Molality of a solution is dependent on the temperature."
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