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Q. What is the mole fraction of the solute in a $1.00\, m$ aqueous solution ?

AIPMTAIPMT 2015Solutions

Solution:

$1.00\, m$ solution means $1$ mole solute is present in $1000 \,g$ water.
$n_{H_2} = \frac{1000}{18} = 55.5\, mol\, H_2O$
$X_{solute} = \frac{n_{solute}}{n_{solute} + n_{H_2O}} = \frac{1}{1+55.5} = 0.0177$