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The solubility of NaCl in water at 298 K is 35.8 kg per 100 kg of water. Calculate the mass fraction of NaCl.

Answer :

Final answer:

The mass fraction of NaCl in water at 298 K, where the solubility is 35.8 kg per 100 kg of water, is calculated by dividing the mass of NaCl by the total mass of the solution. The resulting mass fraction is 0.263, or 26.3%.

Explanation:

The solubility of NaCl in water at 298 K is 35.8 kg per 100 kg of water, which means that in a solution where 100 kg of water is present, 35.8 kg of NaCl is dissolved. To calculate the mass fraction of NaCl, we take the mass of NaCl and divide it by the total mass of the solution (which is the mass of NaCl plus the mass of water).

Therefore, the mass fraction (wNaCl) is:

wNaCl = (mass of NaCl) / (mass of NaCl + mass of water)

wNaCl = 35.8 kg / (35.8 kg + 100 kg)

wNaCl = 35.8 kg / 135.8 kg = 0.263

This means the mass fraction of NaCl in the solution is 0.263, or 26.3%.

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