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If the density of some lake water is 1.25 g mL−1 and contains 92 g of Na+ ions per kg of water, calculate the molality of Na+ ions in the lake.

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Question

If the density of some lake water is 1.25 g mL−1 and contains 92 g of Na+ ions per kg of water, calculate the molality of Na+ ions in the lake.

Numerical
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Solution

Given: Mass of Na+ ions = 92 g

Mass of water (solvent) = 1 kg

Molar mass of Na+ = 23 g/mol

Number of moles present in 92 g of Na+ ions = `92/23`    ...(as atomic mass of Na = 23)

= 4 mole

Molality (m) = `"Moles of solute"/"Mass of solvent"`

= `4/ 1`

= 4 mol/kg

Hence, the molality of lake water is 4 m.

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Chapter 1: Solutions - 'NCERT TEXT-BOOK' Exercises [Page 127]

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Nootan Chemistry [English] Class 12 ISC
Chapter 1 Solutions
'NCERT TEXT-BOOK' Exercises | Q 2.26 | Page 127
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