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Chemistry Question on Solutions

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

P0PsPs\frac{P_0-P_s}{P_s} =nAnB \frac{n_A}{n_B}
1 = nAnB \frac{n_A}{n_B}
nA-nB
∴ Moles of solute added considering it as a non- electrolyte
= 10018\frac{100}{18} ≈ 5.55
≈ 6