Answer :
To find the kilomoles of NaCl per 1000 kg of water, calculate the moles of NaCl in the given mass and scale up to 1000 kg of water, then convert to kilomoles. The result is approximately 6.128 kilomoles, which is not one of the provided options.
To calculate the kilomoles of NaCl per 1000 kg of water, we must first find the molar mass of NaCl, which is the sum of the molar masses of sodium (Na) and chlorine (Cl). The molar mass of Na is 23.0 g/mol, and the molar mass of Cl is 35.5 g/mol, adding up to 58.5 g/mol for NaCl.
Now, we can convert the given mass of NaCl to moles by dividing it by the molar mass of NaCl: 35.8 kg NaCl * (1000 g / 1 kg) / (58.5 g/mol) = 612.8205128205128 moles of NaCl.
Since we need the amount per 1000 kg of water and we have 612.8205 moles of NaCl in 100 kg of water, we multiply the moles by 10 to scale it to 1000 kg of water: 612.8205 mol * 10 = 6128.20 moles of NaCl.
To express this in kilomoles (kmol), we divide the number of moles by 1000: 6128.20 mol / 1000 = 6.128 kilomoles of NaCl. Therefore, none of the options a), b), c), or d) is correct. The correct answer is that there are approximately 6.128 kilomoles of NaCl per 1000 kg of water.
