Answer:
100.432ºC
Explanation:
Ebullioscopy is the elevation of the boiling point of a solvent that has a solute nonvolatile dissolved. The change in the temperature may be calculated by Raoult's law:
ΔT = Kb.W.i
Where <em>ΔT</em> is the temperature change, <em>Kb</em> is the ebullioscopy constant,<em> W</em> is the molality and <em>i</em> is the Van't Hoff factor, which determinates the particles that affect the proper.
The molality is:
W = m1/(M1xm2)
Where <em>m1</em> is the solute mass (in g), <em>M1</em> is the molar mass of the solute, and <em>m2</em> is the mass of the solvent (in kg).
The Van't Hoff factor is the number of final particles divided by the number of initial particles. Magnesium is from froup 2, so it forms the cation Mg⁺², and chlorine ins from group 7 and forms the anion Cl⁻, the salt is MgCl₂ and dissociates:
MgCl₂ → Mg⁺²(aq) + 2Cl⁻(aq)
So, it has 1 particle in initial, and 3 in final (1 Mg⁺² and 2 Cl⁻). So:
i = 3/1 = 3.
The molar mass of MgCl₂ is: 24.3 + 2x35.5 = 95.3 g/mol, m1 = 6.69g, m2 = 0.250 kg, so:
W = 6.69/(95.3x0.250)
W = 0.281 m
Then:
ΔT = 0.512x0.281x3
ΔT = 0.432ºC
The normal boling point of water is 100ºC, so
T - 100 = 0.432
T = 100.432ºC
