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

Freezing point of a \(4\%\) aqueous solution of \(X\) is equal to freezing point of \(12\%\) aqueous solution of \(Y\). If molecular weight of \(X\) is \(A\) then molecular weight of \(Y\) is ............. \(\mathrm{A}\)

  1. A \(3\)
  2. B \(2\)
  3. C \(1\)
  4. D \(4\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(3\)

Step-by-step Solution

Detailed explanation

\({(\Delta {T_f})_Y}\, = \,{(\Delta {T_f})_Y}\) \({k_f}{m_X}\, = \,{k_t}{m_Y}\) \(\frac{{4\, \times \,1000}}{{A\, \times \,96}}\, = \,\frac{{12\, \times \,1000}}{{M\, \times \,88}}\) \(M\, = \,3.27\,A\, = \,3\,A\)