Benzyl acetate is one of the active components of oil of jasmine. If 0.125 g of the compound is added to 25.0g of chloroform (CHCl 3 ), the boiling point of the solution is 61.82°C. What is the molar mass of benzyl acetate. (Chloroform: Kb = 3.63 °C/m; Tb° 61.70°C)

Respuesta :

Answer : The molar mass of benzyl acetate is 151.25 g/mol

Explanation :

Formula used for Elevation in boiling point :

[tex]\Delta T_b=i\times k_b\times m[/tex]

or,

[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]61.82^oC[/tex]

[tex]T^o_b[/tex] = boiling point of chloroform = [tex]61.70^oC[/tex]

[tex]k_b[/tex] = boiling point constant  of chloroform = [tex]3.63^oC/m[/tex]

m = molality

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

[tex]w_2[/tex] = mass of solute (Benzyl acetate) = 0.125 g

[tex]w_1[/tex] = mass of solvent (chloroform) = 25.0 g

[tex]M_2[/tex] = molar mass of solute (Benzyl acetate) = ?

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

[tex](61.82-61.70)^oC=1\times (3.63^oC/m)\times \frac{(0.125g)\times 1000}{M_2\times (25.0g)}[/tex]

[tex]M_2=151.25g/mol[/tex]

Therefore, the molar mass of benzyl acetate is 151.25 g/mol