High School

NaCl is 35.8 kg and water is 100 kg. Calculate the kilomoles of NaCl per 1000 kg of water and explain the steps.

Answer :

To calculate the kilomoles of NaCl per 1000 kg of water, we use the molar mass of NaCl, which is 58.5 g/mol, and the given mass of NaCl (35.8 kg) to find the moles of NaCl. Converting this to kilomoles and dividing by 1000 kg of water, we get 0.612 kmol NaCl/kg water.

To calculate the kilomoles of NaCl per 1000 kg of water, we first need to know the molar mass of NaCl. The molar mass of sodium (Na) is 23.0 g/mol, and the molar mass of chlorine (Cl) is 35.5 g/mol. Therefore, the molar mass of sodium chloride (NaCl) is 23.0 g/mol + 35.5 g/mol = 58.5 g/mol.

We are given the mass of NaCl as 35.8 kg, which is equivalent to 35800 grams (since 1 kg = 1000 grams). We can then calculate the number of moles of NaCl:

Number of moles of NaCl = mass of NaCl / molar mass of NaCl

= 35800 g / 58.5 g/mol

= 612.0 mol NaCl.

Now, since we are interested in the ratio per 1000 kg of water, we have:

Kilomoles of NaCl per 1000 kg of water = (612.0 mol NaCl) / (1000 kg water)

= 0.612 kmol NaCl/kg water.