Q.
Calculate the normal boiling point of a sample of sea water found to contain 3.5% of NaCl and 0.13% of MgCl2 by mass. The normal boiling point of water is 100oC and Kb (water) = 0.51 K kg mol-1. Assume that both the salts are completely ionised
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a
100.655oC
b
99.655oC
c
101.655oC
d
102.655oC
answer is A.
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Detailed Solution
Mass of NaCl = 3.5 gNumber of moles of NaCl=3.558.5Number of ions furnished by one molecule of NaCl is 2. So, actual number of moles of particles furnished by sodium chloride =2×3.558.5Similarly, actual number of moles of particles furnished by magnesium chloride =3×0.1395Total number of moles of particles =(2×3.558.5+3×0.1395)=0.1238Mass of water =(100−3.5−0.13)=96.37 g=96.371000 kgMolality =0.123896.37×1000=1.2846ΔTb=Molality ×Kb=1.2846×0.51=0.655 KHence, boiling point of sea water = 373.655 K or 100.655oC
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