Boiling point elevation

Chemistry Level 2

When 3.15 3.15 g of unknown hydrocarbon is dissolved in 75.0 75.0 g of benzene, the boiling point of the solution increases by 0.597 0.597 °C. What is the molar mass of the unknown substance?

The K b K_{b} of benzene is 2.53 2.53 K kg mol 1 . ^{-1}.

86 g mol 1 86\text{ g mol}^{-1} 121 g mol 1 121\text{ g mol}^{-1} 178 g mol 1 178\text{ g mol}^{-1} 242 g mol 1 242\text{ g mol}^{-1}

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2 solutions

James Wilson
Nov 6, 2017

I didn't know a single chemistry formula to help me with this, but I was able to reason this out on my own simply by thinking about it. Here's the calculation I did: ( 3.15 ) ( 2530 ) ( 75 ) ( 0.597 ) \frac{(3.15)(2530)}{(75)(0.597)} . However, it seemed pretty strange to consider K / m o l K/mol as a unit in the reasoning that I used.

Alakh Aggarwal
May 14, 2014

apply delta(T [boliling] ) = Kb m ......... and m = n[solute]* 1000/g[solvent(in grams)] ...... n[solute] = g[solute]/M[solute]to get M[solute] = 178 g/mol

If you allow me:

Δ T B = i K b m \Delta{}_{T_B}=i\cdot{}K_b\cdot{}m

( I won't write the units. )

0.597 = 1 2.53 x 0.075 0.597=1\cdot{}2.53\cdot{}\frac{x}{0.075}

x 0.017697628458 x\cong{}0.017697628458

3.15 x = M M H C 177.9899 \frac{3.15}{x}={MM}_{HC}\cong{}177.9899

Bernardo Sulzbach - 6 years, 11 months ago

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