Calculate the equilibrium concentration of $\mathrm{Pb}^{++}$ions in a solution of PbS containing $1 \times 10^{-11} \mathrm{~mol} \mathrm{dm}^{-3}$ of sulphide ions.
(Given $\mathrm{K}_{\mathrm{sp}}$ for $\mathrm{PbS}=8.0 \times 10^{-28}$ )
A first order reaction is $50 \%$ completed in 16 minutes. Find the percentage of reactant reacting in 32 minutes.
A hypothetical galvanic cell is ${ }^{\ominus} \mathrm{A}_{(\mathrm{s})} \mid \stackrel{+}{\mathrm{A}}(1 \mathrm{M})\|\stackrel{+2}{\mathrm{~B}}(1 \mathrm{M})\| \stackrel{\oplus}{\mathrm{B}}_{(\mathrm{s})}$ and emf of cell is positive. What is the possible cell reaction?
Argument of the complex number $z=\frac{13-5 i}{4-9 i}, i=\sqrt{-1}$ is
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