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JEE Main 202227 JulyEvening Shift
Exam
JEE Main
Year
2022
Date
27 July
Shift
Evening Shift
Subject
Chemistry
Chapter
Solutions

JEE Main 2022 · 27 July · Evening Shift · Chemistry · Solutions

When a certain amount of solid A is dissolved in 100g of water at...

When a certain amount of solid AA is dissolved in 100g100g of water at 25°C25 ° C to make a dilute solution, the vapour pressure of the solution is reduced to one-half of that of pure water. The vapour pressure of pure water is 23.76mmHg23 . 76mmHg. The number of moles of solute AA added is

Correct answer

5.55

Step-by-step solution

We know that relative lowering in vapour pressure is given as

P0−PSPo=solutennSolute+solventn\dfrac{{P}^{0} - {P}_{S}}{{P}^{o}} = \dfrac{solute n}{{n}_{Solute} + solvent n}

P0−PSPS=solutensolventn\dfrac{{P}^{0} - {P}_{S}}{{P}_{S}} = \dfrac{solute n}{solvent n}

P0−P02P02=solutensolventn\dfrac{{P}^{0} - \dfrac{{P}^{0}}{2}}{\dfrac{{P}^{0}}{2}} = \dfrac{solute n}{solvent n}

soluten=solventn=10018=5.55molsolute n = solvent n = \dfrac{100}{18} = 5 . 55mol

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