The boiling point of water, H2O, is 100.000 °C at 1 atmosphere. Kb(water) = 0.512 °C/m
In a laboratory experiment, students synthesized a new compound and found that when 14.96 grams of the compound were dissolved in 200.6 grams of water, the solution began to boil at 100.635 °C. The compound was also found to be nonvolatile and a non-electrolyte.
What is the molecular weight they determined for this compound ?
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Answers & Comments
use this equation
.. dTbp = kb * m * i
where
.. dTbp = change in bp = bp solution - bp pure solvent
.. kb = ebullioscopic constant (boiling point elevation constant) for the solvent
... .m = molality = moles solute / kg solvent
.. . i = van't hoff factor = # ions 1 particle dissociates into in solution
examples of i
.. 1 NaCl ---> 1 Na+ + 1 Cl-... 1 particle ---> 2 ions... i=2
.. 1 MgCl2 --> 1 Mg2+ + 2 Cl-... 1 particle --> 3 ions.. i=3
.. 1 glucose ---> 1 glucose.. glucose doesn't dissociate.. 1 particle --> 1 particle... i=1
and..
.. since like dissolves like.. non-polar solvents dissolve non-polar solutes and non-polar solutes don't usually
.. .. . .... dissociate. So IF the solvent is non-polar, assume i=1
.. anything that dissolves in water and doesn't dissociate.. assume i=1
.. non-electrolytes means the species doesn't dissociate... i=1
.. non-volatile means it stays in solution.
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that out of the way... do this
.. (1) rearrange dTbp = kb * m * i.... to solve for "m"
.. (2) use the results from (1) along with the kg of H2O to solve for moles solute
.. (3) molar mass = mass / mole
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and if you still need help..
.. m = (100.635°C - 100.000°C) / (0.512°C/m * 1) = 1.240m.. ... (3 sig figs + 1 extra for intermediate calcs)
.. 0.2006 kg H2O * (1.240 mol solute / 1kg H2O) = 0.2487 mol solute... (3 sig figs)
.. molar mass solute = 14.96g / 0.2487mol = 60.2 g/mol... .(3 sig figs)