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Umnica [9.8K]
4 years ago
6

In a mountainous location, the boiling point of pure water is found to be 95 oC. How many grams of sodium chloride must be added

to 1 kg of water to bring the boiling point back to 100 oC?. Kb for water is 0.512 oC/m. Assume i = 2.
Chemistry
1 answer:
Dmitry_Shevchenko [17]4 years ago
7 0

Answer:

285.6 g

Explanation:

The elevation of the boiling point of a solvent that has a solute nonvolatile dissolved is called ebullioscopy, and the change in the temperature may be calculated by the Raoult's law:

ΔT = Kb.W.i

Where<em> ΔT</em> is the temperature change, <em>Kb</em> is the ebullioscopy constant, <em>W</em> is the molality and <em>i</em> is the Van't Hoff factor, which determinates the particles that affect the proper.

The molality is:

W = m1/(M1xm2)

Where <em>m1</em> is the solute mass (in g), <em>M1</em> is the molar mass of the solute, and <em>m2</em> is the mass of the solvent (in kg). Sodium chloride has molar mass equal to 58.5 g/mol (23 of Na and 35.5 of Cl), so:

(100 - 95) = 0.512xWx2

5 = 1.024W

W = 4.883 m

W = m1/(M1xm2)

4.883 = m1/(58.5x1)

m1 = 285.6 g

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