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

An aqueous solution of volume \(300\,cm ^3\) contains \(0.63\,g\) of protein. The osmotic pressure of the solution at \(300\,K\) is \(1.29\,mbar\). The molar mass of the protein is \(.........\,g\,mol ^{-1}\) Given : \(R =0.083\,L\,bar\,K ^{-1} mol ^{-1}\)

  1. A \(40536\)
  2. B \(40537\)
  3. C \(40535\)
  4. D \(40538\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(40535\)

Step-by-step Solution

Detailed explanation

\(\because \pi= CRT\) \(\pi=\frac{n}{V} R T\) \(\pi=\frac{\omega}{V} \frac{R T}{M}\) \(M=\frac{\omega R T}{\pi \times V}\) \(M=\frac{0.63 \times 0.083 \times 300}{1.29 \times 10^{-3} \times 300 \times 10^{-3}}\) \(M=40535\,gm / moL\)
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