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JEE Mains · Chemistry · STD 12 -1. Solution and colligative properties

Mass of Urea \(\left( NH _2 CONH _2\right)\) required to be dissolved in \(1000 g\) of water to reduce the vapour pressure of water by \(25 \%\) is \(......g\). (Nearest integer) Given: Molar mass of \(N,C,O\) and \(H\) are \(14,12,16\) and \(12\,mol ^{-1}\) respectively.

  1. A \(1112\)
  2. B \(1113\)
  3. C \(1114\)
  4. D \(1111\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(1111\)

Step-by-step Solution

Detailed explanation

\(\frac{ P ^0- P _{ s }}{ P _{ s }}=\frac{ n _{\text {solute }}}{ n _{\text {solvent }}}=\frac{\frac{ x }{60}}{\frac{1000}{18}}=\frac{ P ^0-0.75 P ^0}{0.75 P ^0}\) \(\Rightarrow x =\frac{10000}{9}=1111\,gm\)
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