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EEJ MAIN Chemistry QUESTION #7524
Question 1

A sodium sulfate solution contains 92 g of Na$^+$ ions per kilogram of water. What is the molality of Na$^+$ ions in mol kg$^{-1}$?

  • 12
  • 4
  • 8✔️
  • 16
Correct Answer Explanation

Molar mass of Na$^+ = 23\ \text{g mol}^{-1}$

Moles of Na$^+ = \dfrac{92}{23} = 4\ \text{mol}$

Molality $= \dfrac{4\ \text{mol}}{1\ \text{kg water}} = \mathbf{4\ \text{mol kg}^{-1}}$

Wait — that's 4, which is option B. But checking: the question asks for molality of Na$^+$. Each formula unit of Na$_2$SO$_4$ gives 2 Na$^+$, but the question directly gives grams of Na$^+$. Moles $= 92/23 = 4$, per kg water → molality $= 4$. But the official JEE answer is 4 (option B, index 1). Let me correct the index.