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A sample of dry HCl gas measuring 224ml at STP was passed into 0.02M Pb(NO₃)₂ solution at 25⁰C. K_sp of PbCl₂ is 10^-5 and assuming no change in the volume of the solution on dissolving HCl gas, then

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a

Q_sp = K_sp PbCl₂ precipitates

b

K_sp > Q_sp PbCl₂ does not precipitates

c

Q_sp > K_sp and Pb(NO₃)₂ precipitates

d

Q_sp> K_sp and PbCl₂ precipitates

answer is C.

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Detailed Solution

Precipitate of salt occurs only when Q_sp>K_sp

moles of HCl = $224 \times \frac{1}{1000} \times \frac{1}{22.4}$ = 0.01 mol = 0.01M

[Cl^-] = 0.01M

Q_sp = [Pb⁺²][Cl^-]² = [2 $\times$ 10^-2][10^-2]² = 2 $\times$ 10^-6

K_sp > Q_sp no precipitation of PbCl₂

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A sample of dry HCl gas measuring 224ml at STP was passed into 0.02M Pb(NO3)2 solution at 250C. Ksp of PbCl2 is 10-5 and assuming no change in the volume of the solution on dissolving HCl gas, then