Which of the following solutions is isotonic with $0.3 N A l_{2} (S O_{4})_{3}$ ( $100 %$ soluble) solution at given temperature?

0.25 M C a (N O_{3})_{2}

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0.3 N A l (N O_{3})_{3}

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0.15 M K C l

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0.25 M g l u c o s e

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Solution

The correct option is D $0.25 M g l u c o s e$
For $0.3 N A l_{2} (S O_{4})_{3}$ solution, $\prod = C i R T = \frac{0.3}{6} \times 5 \times R T = 0.25 R T (i = 5)$
For $0.25 M C a (N O_{3})_{2}$ solution, $\prod = C i R T = 0.25 \times 3 \times R T = 0.75 R T (i = 3)$
For $0.3 N A l (N O_{3})_{3}$ solution, $\prod = C i R T = \frac{0.3}{3} \times 4 \times R T = 0.4 R T (i = 4)$
For $0.15 M K C l$ solution, $\prod = C i R T = 0.15 \times 2 \times R T = 0.3 R T (i = 2)$
For $0.25 M$ glucose solution, $\prod = C i R T = 0.25 \times 1 \times R T = 0.25 R T (i = 1)$

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