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Question

Estimate the mole fraction of the solute in a 1.00 molal aqueous solution.


A

1.7700

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B

0.1770

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C

0.0177

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D

0.0344

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Solution

The correct option is C

0.0177


Explanation for correct option:

Option (C) 0.0177

Step 1: Understand the term “Mole fraction”

The mole fraction of any component of a solution is defined as the ratio of the number of moles of that component present in the solution to the total number of moles of all the components of the solution.Molefractionofsolute=MolesofsoluteMolesofsolute+Molesofsolvent

Molefractionofb=nbna+nb

nb= number of moles of solute

na = Number of moles of solvent

Step 2: Determine moles of Solute and Water

To find the mole fraction of the solute in a 1.00 molal aqueous solution, we need moles of solute and moles of solvent

It is given that there is 1 molal aqueous solution, which means that one mole of solute is dissolved in 1kg of water.

Thus, the number of moles of solute is one

Number of moles of water=100018=55.556 (1kg of water is there and molar mass of water is 18gmol-1)

Step 3: Find the mole fraction of the solute.

Molefractionofsolute=MolesofsoluteMolesofsolute+Molesofsolvent

Molefractionofsolute=11+55.556

Molefractionofsolute=156.556=0.017680.0177

Thus, the mole fraction of the solute in a 1.00 molal aqueous solution is 0.0177. So, option (c) is correct.


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