How much would the boiling point of water increase if 4 mol of sugar were added to 1 kg of water (Kb = 0.51°C/(mol/kg) for water and i = 1 for sugar)?

Respuesta :

Answer : The boiling point of water increases, [tex]2.04^oC[/tex]

Solution : Given,

Moles of solute (sugar) = 4 moles

Mass of solvent (water) = 1 Kg

[tex]K_b=0.51Kg^oC/mole[/tex]

i = 1 for sugar

Formula used :

[tex]\Delta T_b=i\times K_b\times m\\\Delta T_b=i\times K_b\times \frac{n_{solute}}{w_{solvent}}[/tex]

Where,

[tex]\Delta T_b[/tex] = elevation in boiling point

[tex]K_b[/tex] = elevation constant

m = molality

[tex]n_{solute}[/tex] = moles of solute (sugar)

[tex]w_{solvent}[/tex] = mass of solvent (water)

i = van't Hoff factor

Now put all the given values in this formula, we get the elevation in boiling point of water.

[tex]\Delta T_b=(1)\times (0.51Kg^oC/mole)\times \frac{4moles}{1Kg}=2.046^oC[/tex]

Therefore, the elevation in boiling point of water is [tex]2.04^oC[/tex]

Answer:

2.04°C

Explanation: