What is the boiling point (in °C) of a solution of 7.94 g of I2 in 69.2 g of toluene, assuming the I2 is nonvolatile? (For toluene, Tb = 110.63°C and Kb = 3.40°C·kg/mol.)

Respuesta :

Answer: The boiling point of  solution is [tex]112.16^0C[/tex]

Explanation:

Elevation in boiling point:

[tex]T_b-T^o_b=i\times k_b\times \frac{w_2\times 1000}{M_2\times w_1}[/tex]

where,

[tex]T_b[/tex] = boiling point of solution = ?

[tex]T^o_b[/tex] = boiling point of toluene = [tex]110.63^oC[/tex]

[tex]k_b[/tex] = boiling point constant of toluene =[tex]3.40^oC/m[/tex]

m = molality

i = Van't Hoff factor = 1 (for non-electrolyte)

[tex]w_2[/tex] = mass of solute [tex](I_2)[/tex] = 7.94 g

[tex]w_1[/tex] = mass of solvent (toluene) = 69.2 g

[tex]M_2[/tex] = molar mass of solute [tex](I_2)[/tex]= 254g/mol

Now put all the given values in the above formula, we get:

[tex](T_b-110.63)^oC=1\times (3.40^oC/m)\times \frac{(7.94g)\times 1000}{254\times (69.2g)}[/tex]

[tex]T_b=112.16^0C[/tex]

Therefore, the boiling point (in °C) of a solution is 112.16

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