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What is the correct sequence of the incr...

What is the correct sequence of the increasing order of freezing points at one atmosphere of the following 1.0 M aqueous solution?
1. Urea, 2. Sodium chloride, 3. Sodium sulphate, 4. Sodium phosphate.
Select the correct answer using the codes given below

A

4, 3, 1, 2

B

3, 4, 2, 1

C

3 4, 1, 2

D

4, 3, 2, 1

Text Solution

AI Generated Solution

The correct Answer is:
To determine the correct sequence of the increasing order of freezing points for the given 1.0 M aqueous solutions of urea, sodium chloride, sodium sulfate, and sodium phosphate, we need to consider the concept of freezing point depression, which is a colligative property. This property depends on the number of solute particles in solution, which is influenced by the dissociation of the solutes into ions. ### Step-by-Step Solution: 1. **Identify the Van't Hoff factor (i)**: - **Urea (non-electrolyte)**: Urea does not dissociate in solution, so \( i = 1 \). - **Sodium Chloride (NaCl)**: Sodium chloride dissociates into two ions: \( Na^+ \) and \( Cl^- \), so \( i = 2 \). - **Sodium Sulfate (Na2SO4)**: Sodium sulfate dissociates into three ions: \( 2 Na^+ \) and \( SO4^{2-} \), so \( i = 3 \). - **Sodium Phosphate (Na3PO4)**: Sodium phosphate dissociates into four ions: \( 3 Na^+ \) and \( PO4^{3-} \), so \( i = 4 \). 2. **Determine the order of freezing point depression**: - The freezing point depression (\( \Delta T_f \)) is proportional to the Van't Hoff factor (\( i \)). The greater the \( i \), the lower the freezing point. - Therefore, we can summarize the \( i \) values: - Urea: \( i = 1 \) - Sodium Chloride: \( i = 2 \) - Sodium Sulfate: \( i = 3 \) - Sodium Phosphate: \( i = 4 \) 3. **Rank the solutions based on their freezing points**: - Since the freezing point decreases with increasing \( i \), we rank them from the lowest to the highest freezing point: - Sodium Phosphate (i = 4) has the lowest freezing point. - Sodium Sulfate (i = 3) has the next lowest freezing point. - Sodium Chloride (i = 2) follows. - Urea (i = 1) has the highest freezing point. 4. **Final Order**: - Therefore, the correct sequence of the increasing order of freezing points is: - Sodium Phosphate < Sodium Sulfate < Sodium Chloride < Urea - In terms of the original question, this corresponds to the order: 4 (Sodium Phosphate), 3 (Sodium Sulfate), 2 (Sodium Chloride), 1 (Urea). ### Conclusion: The correct answer is option 4: 4 (Sodium Phosphate) < 3 (Sodium Sulfate) < 2 (Sodium Chloride) < 1 (Urea).
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