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Why is the mole fraction of solute in a 1 molal aqueous solution around 0.0177?

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Answer and explanation

Correct answer: Because 1 kg water has about 55.5 mol water

A 1 molal aqueous solution contains 1 mol of solute in 1 kg of water. Using the molar mass of water, 18 g mol−1, the solvent contains 1000/18 ≈ 55.5 mol water. Therefore, total moles are 1 + 55.5 = 56.5 mol, and the solute mole fraction is x = 1/56.5 ≈ 0.0177. Hence option A is correct; the other statements confuse volume, mass, or concentration units.

Related tags

MolalityMole FractionAqueous SolutionMole ConceptMole Concept And Molar MassSome Basic Concepts Of ChemistryChemistryClass 11 Mcq

Frequently asked questions

What is the correct answer to this question?

Because 1 kg water has about 55.5 mol water

Why is this the correct answer?

A 1 molal aqueous solution contains 1 mol of solute in 1 kg of water. Using the molar mass of water, 18 g mol−1, the solvent contains 1000/18 ≈ 55.5 mol water. Therefore, total moles are 1 + 55.5 = 56.5 mol, and the solute mole fraction is x = 1/56.5 ≈ 0.0177. Hence option A is correct; the other statements confuse volume, mass, or concentration units.

Which subject and chapter does this question cover?

This is a Class 11 Chemistry question. Chapter: Some Basic Concepts of Chemistry. Topic: Mole concept and molar mass.

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