Q1 / 160 · AP EAMCET 2020 (17 Sep Shift 2) · Chemistry

Which of the following pairs of solutions is expected to be isotonic at same temperature?

  • A
    \(0.1 \mathrm{M}\) urea and \(0.1 \mathrm{M} \mathrm{NaCl}\)
  • B
    \(0.1 \mathrm{M}\) glucose and \(0.2 \mathrm{M} \mathrm{NaCl}\)
  • C
    \(0.1 \mathrm{M} \mathrm{NaCl}\) and \(0.1 \mathrm{M} \mathrm{CH}_3 \mathrm{COOH}\)
  • Correct answer
    D
    \(0.1 \mathrm{M} \mathrm{NaCl}\) and \(0.1 \mathrm{M} \mathrm{KNO}_3\)

Solution

Two solutions of same osmotic pressure \((\pi)\) are isotonic solutions. \(\begin{aligned} \pi_1(0.1 \mathrm{M} \mathrm{NaCl}) & =0.1 \times R T \times 2 \\ \pi_2\left(0.1 \mathrm{M} \mathrm{KNO}_3\right) & =0.1 \times R T \times 2 \end{aligned}\) So, \(\pi,(0.1 \mathrm{M} \mathrm{NaCl})=\pi_2\left(0.1 \mathrm{M} \mathrm{KNO}_3\right)\) at same temperature.

Hence, the correct answer is option: 'D'.

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