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QJEEM16Ch73e8: JEE Main 2016 Chemistry - Class 12 JEEM16Ch73e8 Solution: 18 g glucose (C 6 H 12 O 6 ) is added to 178.2 g water. The…

18 g glucose (C6H12O6) is added to 178.2 g water. The vapor pressure of water (in torr) for this aqueous solution is :

Multiple Choice Options

  • A 76
  • B 752.4
  • C 759
  • D 7.6

Step-by-Step Verified Solution

According to Raoult's Law

P∘−PsPs=WB×MAMB×WA          ...(i){{{P^ \circ } - {P_s}} \over {{P_s}}} = {{{W_B} \times {M_A}} \over {{M_B} \times {W_A}}}\,\,\,\,\,\,\,\,\,\,...\left( i \right)

Here P∘={P^ \circ } = Vapour pressure of pure solvent,

Ps={P_s} = Vapour pressure of solution

WB={W_B} = Mass of solute,

WA={W_A} = Mass of solvent

MB={M_B} = Molar mass of solute,

MA={M_A} = Molar Mass of solvent

Vapour pressure of pure water at 100∘C{100^ \circ }C

(by assumption =760=760 torr)

By substituting values in equation (i)(i) we get,

760−PsPs=18×18180×178.2      ...(ii){{760 - {P_s}} \over {{P_s}}} = {{18 \times 18} \over {180 \times 178.2}}\,\,\,\,\,\,...\left( {ii} \right)

On solving (ii)(ii) we get

On solving (ii)(ii) we get

Ps=752.4  torr{P_s} = 752.4\,\,torr

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