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For which of the following solutes the v...

For which of the following solutes the van't Hoff factor is not greater than one ?

A

`NaNO_3`

B

`BaCl_2`

C

`K_4[Fe(CN)_6]`

D

`NH_2CONH_2`

Text Solution

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The correct Answer is:
To determine which of the following solutes has a van't Hoff factor (i) that is not greater than one, we need to analyze each option based on whether they are electrolytes or non-electrolytes. ### Step-by-Step Solution: 1. **Understand the van't Hoff factor (i)**: - The van't Hoff factor (i) represents the number of particles into which a solute dissociates in solution. - For electrolytes (substances that dissociate into ions), the value of i is greater than 1. - For non-electrolytes (substances that do not dissociate into ions), the value of i is equal to 1. 2. **Analyze each option**: - **Option 1: NaNO3**: - Sodium nitrate (NaNO3) is an electrolyte. It dissociates into Na⁺ and NO3⁻ ions in solution. - Therefore, i = 2 (1 Na⁺ + 1 NO3⁻). - **Option 2: BaCl2**: - Barium chloride (BaCl2) is also an electrolyte. It dissociates into Ba²⁺ and 2 Cl⁻ ions. - Therefore, i = 3 (1 Ba²⁺ + 2 Cl⁻). - **Option 3: K4[Fe(CN)6]**: - Potassium ferrocyanide (K4[Fe(CN)6]) is an electrolyte. It dissociates into 4 K⁺ and 1 [Fe(CN)6]⁴⁻ ion. - Therefore, i = 5 (4 K⁺ + 1 [Fe(CN)6]⁴⁻). - **Option 4: NH2CONH2 (Urea)**: - Urea (NH2CONH2) is a non-electrolyte. It does not dissociate into ions in solution. - Therefore, i = 1. 3. **Conclusion**: - Among the four options, the only solute for which the van't Hoff factor is not greater than one is **NH2CONH2 (Urea)**, as its value of i is equal to 1. ### Final Answer: The solute for which the van't Hoff factor is not greater than one is **NH2CONH2 (Urea)**.

To determine which of the following solutes has a van't Hoff factor (i) that is not greater than one, we need to analyze each option based on whether they are electrolytes or non-electrolytes. ### Step-by-Step Solution: 1. **Understand the van't Hoff factor (i)**: - The van't Hoff factor (i) represents the number of particles into which a solute dissociates in solution. - For electrolytes (substances that dissociate into ions), the value of i is greater than 1. - For non-electrolytes (substances that do not dissociate into ions), the value of i is equal to 1. ...
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Knowledge Check

  • Which of the following representations of I (van't Hoff factor) is not correct ?

    A
    `i="Observed colligative property"/"Expected colligative property"`
    B
    `i="Normal molecular mass "/"Observed molecular mass "`
    C
    `i="Number of molecules actually present "/"Number of molecules expected to be present "`
    D
    `i="Total number of particles taken before association/dissociation"/"Number of particles after association/dissociation"`
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