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

If \(250\, cm ^{3}\) of an aqueous solution containing \(0.73\, g\) of a protein \(A\) is isotonic with one litre of another aqueous solution containing \(1.65\, g\) of a protein \(B ,\) at \(298\, K ,\) the ratio of the molecular mases of \(A\) and \(B\) is..........\(\times 10^{-2}\) (to the nearest integer).

  1. A \(172\)
  2. B \(175\)
  3. C \(180\)
  4. D \(177\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(177\)

Step-by-step Solution

Detailed explanation

Let molar mass of protein \(A=x\) \(g/mol\) Let molar mass of protein \(B = y g / mol\) \(\pi_{ A }=\) osmotic pressure of protein \(A =\frac{\left(\frac{0.73}{ x }\right)}{0.25} RT\) \(\pi_{ B }=\) osmotic pressure of protein \(B =\frac{\left(\frac{1.65}{ y }\right)}{1} RT\)…
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