How many grams of ethylene glycol (C2H6O7) must be added to 1.00 kg of water to produce a solution that freezes at -5.00C

Respuesta :

0.03 g of ethylene glycol (C2H6O7) must be added to 1.00 kg of water to produce a solution that freezes at -5.00C.

How to calculate the amount of solution with freezing point ?

[tex]\Delta T_{f} = K_{f} m[/tex]

where,

ΔTf = Change in freezing point

Kf = molal freezing point depression constant of the solvent

m = moles of solute per kilogram of solvent.

Now,

[tex]\Delta T_{f} = K_{f} m[/tex]

[tex]\Delta T_{f} = K_{f} \times \frac{W_2}{M_2} \times \frac{1000}{W_1}[/tex]                 [-5.00°C = 273 + (-5.00) = 268 K] [tex]268 = 1.86 \times \frac{W_2}{62} \times \frac{1000}{0.001}[/tex]                 [1.00 kg = 0.001 g]

[tex]W_{2} = \frac{268 \times 62 \times 0.001}{1000 \times 1.86}[/tex]

     = 0.03 g

Thus from the above conclusion we can say that 0.03 g of ethylene glycol (C2H6O7) must be added to 1.00 kg of water to produce a solution that freezes at -5.00C.

Learn more about the Freezing Point Depression here: https://brainly.com/question/24314907

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