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The vapour pressure of pure water at 25°C is 30 mm. The vapour pressure of 10% (w/w) glucose solution at 25°C is ____________ (Assuming the solution is dilute )

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26.56 mm

31.5 mm

29.67 mm

30.6 mm

answer is C.

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Detailed Solution

(W/W)% of aq. glucose =10%

$\large \begin{array}{l} P_{{H_2}O}^o = 30mm\\ {W_{glu\cos e}}({W_s}) = 10g\\ {W_{{H_2}O}}({W_o}) = (100 - 10) = 90g \end{array}$

For very dilute sol.,

$\large \frac{{{P^o} - P}}{{{P^o}}} = \frac{{{W_s}}}{{{M_s}}}X\frac{{{M_o}}}{{{W_o}}}$ (M=Mol.Wt.)

$\large \frac{30-P}{30}=\frac{10}{180}X\frac{18}{90}$

P= 29.67mm

VP of sol. of non-volatile solute = 29.67mm

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