The normal boiling point of a certain liquid X is 120.7°C , but when 58.66g of urea NH22CO are dissolved in 950.g of X , it is found that the solution boils at 123.0°C instead. Use this information to calculate the molal boiling point elevation constant Kb of X .

Respuesta :

Answer: [tex]2.23^0C/m[/tex]

Explanation:

Formula used for Elevation in boiling point :

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

or,

[tex]T_{solution}-T_{solvent}=k_b\times \frac{\text{ Moles of solute}\times 1000}{\text{ Mass of solvent in g}}[/tex]

where,

[tex]T_b[/tex] = change in boiling point

[tex]k_b[/tex] = boiling point constant

m = molality

moles of solute 9urea)=[tex]\frac{given mass}{Molar mass}=\frac{58.66}{60.06g/mol}=0.98moles[/tex]

Putting in the values we get:

[tex](123-120.7)^0C=k_b\times \frac{0.98}\times 1000}{950.0}[/tex]

[tex]2.3^0C=k_b\times \frac{0.98}\times 1000}{950.0}[/tex]

[tex]k_b=2.23^0C/m[/tex]

Thus molal boiling point elevation constant is [tex]2.23^0C/m[/tex]