What is the molality of a solution containing 50.0 g of NaCl (58.44 g/mol) dissolved in 2.50 kg of water?  b) How many grams of Na2SO4 (142.04 g/mol) needs to 1.5 kg of water to make a 0.500 mol/kg water solution

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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What is the molality of a solution containing 50.0 g of NaCl (58.44 g/mol) dissolved in 2.50 kg of water? 

b) How many grams of Na2SO4 (142.04 g/mol) needs to 1.5 kg of water to make a 0.500 mol/kg water solution

Expert Solution
Step 1

Molality is defined as the “total moles of a solute contained in a kilogram of a solvent.”

Molality = Number of moles of solute / Mass of solvent in kg 

molality is represented by m 

Unit of molality = molal or moles per kg of solvent 

 

 50.0 g of NaCl (58.44 g/mol) dissolved in 2.50 kg of water?

Solution :-

first we will calculate moles of solute 

mass of NaCl = 50.0 g 

molar mass of NaCl = 58.44 g/mol

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

                       = 50.0g / 58.44 g/mol 

                       =0.86moles 

mass of water ( solvent ) = 2.50 kg 

molality = Number of moles of solute / Mass of solvent in kg 

             =0.86 moles of NaCl / 2.50kg of water

             = 0.344 molal  

 

Answer :- molality of a solution containing 50.0 g of NaCl (58.44 g/mol) dissolved in 2.50 kg of water is = 0.344 molal 

 

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