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← JEE Main 2022 · 27 Jul · Shift 2
ChemistryInteger+4 / -1Question 84 of 90

JEE Main 2022 · 27 Jul · Shift 2, Chemistry question 84

When a certain amount of solid A is dissolved in 100 g of water at 25°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 23.76 mmHg. The number of moles of solute A added is ______. (Nearest Integer)

Answer and worked solution

Official answer: 3

Raoult's law for a dilute solution: Δpp∘≈nAnwater\frac{\Delta p}{p^\circ}\approx\frac{n_A}{n_{water}}. So 12=nA100/18\frac12=\frac{n_A}{100/18} and nA≈2.8≈3n_A\approx2.8\approx3.

Answer: 3