The boiling point of benzene C6H6 is 80.10°C at 1 atmosphere. A nonvolatile, nonelectrolyte that dissolves in benzene is estrogen (estradiol). How many grams of estrogen, C18H24O2 (272.4 g/mol), must be dissolved in 258.0 grams of benzene to raise the boiling point by 0.450 °C ? ______g estrogen.
The elevation in boiling point is given by -
where
Tb is the boiling point, Kb is the ebullioscopic constant (dependent on solvent), and m is the molality of the solute.
The value of Kb for benzene is 2.65oC kg/mol. Using this value, the molality of solute (estrogen) can be calculated as-
Now, molality of the solute is defined as the ratio of number of moles to the mass of solvent (in kg) -
We can calculate the moles of solute as -
Since moles is the ratio os mass to molar mass, the mass of estrogen that must be dissolved is -
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