A solution of common salt in water is prepared by adding 20 kg of salt to 100 kg of water, to make a liquid of density 1323 kg/m3. Calculate the concentration of salt in this solution as a (

A solution of common salt in water is prepared by adding 20 kg of salt to 100 kg of water, to make a liquid of density 1323 kg/m3. Calculate the concentration of salt in this solution as a ( Correct Answer mole fraction, (

(i) Weight fractio20/(100+20) = 0.167; %weight/weight = 16.7% (ii) Weight/volume: A density of 1323kg/m3 means that lm3 of solution weighs 1323kg, but 1323kg of salt solution contains (20×1323kg of salt) / (100+20) = 220.5 kg salt/m3 1 m3 solution contains 220.5 kg salt. Weight/volume fraction = 220.5 / 1000 = 0.2205 And so weight / volume = 22.1% (iii) Moles of water = 100 / 18 = 5.56 Moles of salt = 20 / 58.5 = 0.34 Mole fraction of salt = 0.34 / (5.56 + 0.34) = 0.058 (iv) The molar concentration (M) is 220.5/58.5 = 3.77 moles in m3.
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