A certain substance X has a normal boiling point of 124.2 °C and a molal boiling point elevation constant K,-06-0C-kg-mol ·A solution is prepared by dissolving some urea ((N112)CO) in 650. g ofl. This solution boils at 124.7 oC, Calculate the mass of urea that was dissolved. Be sure your answer has the correct number of significant digits. 31.48 g

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Answer:

32 g

Explanation:

The increase in the boiling point of X can be calculated using the following expression.

ΔT = Kb × b

where,

ΔT: increase in the boiling point

Kb: molal boiling point constant (0.62 °C.kg/mol) (I looked it on the web)

b: molality of the solute

ΔT = Kb × b

(124.7°C - 124.2°C) = (0.62 °C.kg/mol) × b

b = 0.81 mol/kg

The mass of X is 650 g (0.650 kg). Then, the moles of urea (solute) are:

[tex]\frac{0.81molUrea}{1kgX} .0.650kgX=0.53molUrea[/tex]

The molar mass of urea is 60.06 g/mol. The mass of urea is:

[tex]0.53mol.\frac{60.06g}{mol} =32g[/tex]

The mass of urea that was dissolved is 32 g.

What is boiling point?

This is the temperature in which a liquid starts changing to vapor or gas.

Increase in the boiling point of X = ΔT = Kb × b

where ΔT is increase in the boiling point, Kb is molal boiling point constant (0.62 °C.kg/mol)

We can calculate the molality of the solute

ΔT = Kb × b

= (124.7°C - 124.2°C)

= (0.62 °C.kg/mol) × b

b = 0.81 mol/kg

The mass of X is 650 = 0.650 kg. Then, the moles of urea (solute) are:

0.81mol Urea /1kgX  × 0.650kgX = 0.53molUrea

The molar mass of urea is 60.06 g/mol. Therefore the mass of urea is:

0.53mol × 60.06g/mol = 32g.

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