Question

Assuming the compounds to be completely dissociated in aqueous solution, identify the pair of the solutions that can be expected to be isotonic at the same temperature:

(A) \(0.01 \mathrm{M}\) Urea and \(0.01 \mathrm{M} \mathrm{NaCl}\)
(B) \(0.02 \mathrm{M} \mathrm{NaCl}\) and \(0.01 \mathrm{M} \mathrm{Na} \mathrm{SO}_{4}\)
(C) \(0.03 \mathrm{M} \mathrm{NaCl}\) and \(0.02 \mathrm{M} \mathrm{MgCl}\)
(D) \(0.01 \mathrm{M}\) Sucrose and \(0.02 \mathrm{M}\) glucose

Answer 1

Ans: (C)
For isotonic at same temperature \(\quad \pi_{1}=\pi_{2}\)
$$
\begin{aligned}
&i_{1} c_{1} R T=i c_{2} R T \\
&i_{1} c_{1}=i_{2} c_{2}
\end{aligned}
$$
option (C) \(0.03 \mathrm{M} \mathrm{NaCl}\) and 0.02M Mg ÇI
$$
\begin{array}{lc}
\mathrm{i}_{1} \mathrm{c}_{1}=2 \times 0.03 & \mathrm{i}=2 \\
\quad=0.06 & \mathrm{i}_{2} \mathrm{c}_{2}=3 \times 0.02 \\
\therefore \mathrm{i}_{1} \mathrm{c}_{1}=\mathrm{i}_{2} \mathrm{c}_{2}, \text { Hence isotonic } & =0.06
\end{array}
$$

Answer 2

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Answer 3

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