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Chemistry
If 1 mole of NaCl solute is dissolved into the 1 kg of water, at what temperature will water boil at 1.013 bar? (Kb of water is 0.52 K kg mol-1)
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Q. If $1\, mole$ of NaCl solute is dissolved into the $1\, kg$ of water, at what temperature will water boil at 1.013 bar? ($K_b$ of water is $0.52 \, K \, kg \, mol^{-1}$)
KEAM
KEAM 2018
Solutions
A
373.15 K
9%
B
373.67 K
17%
C
374.19 K
56%
D
373.19 K
16%
E
375 K
16%
Solution:
$\because \Delta T= K_{b} \frac{n}{w_{A}}$
Given, $K_{b} =0.52 K kg mol ^{-1}$
$n =1, w_{A}=1\, kg$
$\therefore \Delta T =\frac{0.52 \times 1}{1}=0.52\, K$
$\because$ Boiling point of pure water at $1.013$ bar (i.e. $1 atm$ ) is $373.15\, K$
$\therefore $ Boiling point of the solulion $=373.15+0.52$
$=373.67\, K$