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If the mass of NaCl is 35.8 kg and the mass of water is 100 kg, calculate the kilomoles of NaCl per 1000 kg of water and explain the steps.

Answer :

The kilomoles of NaCl per 1000 kg of water is calculated by dividing the mass of NaCl by its molar mass to get the moles, then converting moles to kilomoles. With 35.8 kg NaCl, the calculation yields 0.612 kilomoles of NaCl per 1000 kg of water.

To calculate the kilomoles of NaCl per 1000 kg of water, we need to know the molar mass of NaCl and the conversion between kilograms and kilomoles. The molar mass of NaCl (sodium chloride) is 58.5 g/mol or 0.0585 kg/mol, calculated by adding the atomic masses of sodium (Na, approximately 23 g/mol) and chlorine (Cl, approximately 35.5 g/mol).

First, calculate the moles of NaCl present in 35.8 kg by dividing the mass of NaCl by its molar mass:

Moles of NaCl = mass of NaCl / molar mass of NaCl

Moles of NaCl = 35.8 kg / 0.0585 kg/mol = 612 moles NaCl.

Since we want the kilomoles per 1000 kg of water, we convert the moles to kilomoles by dividing by 1000:

Kilomoles of NaCl = 612 moles / 1000 = 0.612 kmol NaCl.

Therefore, for 1000 kg of water, you have 0.612 kilomoles of NaCl.

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