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Question

117 g of NaCl is added to 222 g of water in a container. Calculate the temperature at which the water boils at 1 atm?
Given:
Ebullioscopic constant for water(Kb)=0.52 K kg mol1
Molecular mass of NaCl=58.5 g mol1
and boiling point of pure water is 100C

A
98.3C
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B
102.8C
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C
104.7C
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D
101.5C
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Solution

The correct option is C 104.7C
Weight of solvent w1=222 g
Weight of solute w2=117 g
M2=Molecular mass of NaCl=58.5 g mol1
Kb=0.53 K kg mol1

Now, addition of a non-volatile solute causes elevation in boiling point i.e. ΔTb
ΔTb=(kb×1000×w2)(M2×w1)
On substituting,
ΔTb=(0.52×1000×117)(58.5×222)ΔTb=4.7CTb100C=4.7C
Tb=(100+4.7)C=104.7C.

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