COMEDK · Chemistry · 17. Solutions
An aqueous solution of volume V ml contains a non-volatile solute of unknown mass \(W_B \mathrm{~g}\) and molar mass \(M_B \mathrm{~g} / \mathrm{mol}\). If the Osmotic pressure of the solution is 1.013 bar , which one of the following is the mathematical expression to be used to calculate \(W_B\) ?
- A \(W_B=\dfrac{\pi \mathrm{M}_{\mathrm{B}} V 1000}{76 \mathrm{RT}}\)
- B \(W_B=\dfrac{\pi \mathrm{M}_{\mathrm{B}} V}{\mathrm{RT}}\)
- C \(W_B=\dfrac{\pi \mathrm{M}_{\mathrm{B}} V}{760 * \mathrm{RT} * 1000}\)
- D \(W_B=\dfrac{\pi \mathrm{M}_{\mathrm{B}} V}{1000 \mathrm{RT}}\)
Answer & Solution
Correct Answer
(D) \(W_B=\dfrac{\pi \mathrm{M}_{\mathrm{B}} V}{1000 \mathrm{RT}}\)
Step-by-step Solution
Detailed explanation
The osmotic pressure \(\pi\) of a solution is given by the van't Hoff equation: \(\pi = CRT\), where \(C\) is the molar concentration of the solute in mol/L, \(R\) is the universal gas constant, and \(T\) is the temperature in Kelvin. The molar concentration \(C\) is defined as…
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