We are given the following reaction in aqueous solution:
\[ \text{Pb(NO}_3\text{)}_2 + \text{NaCl} \rightarrow \text{PbCl}_2 (\text{precipitate}) + 2 \text{NaNO}_3 \]
When the precipitate, \( \text{PbCl}_2 \), is formed and then dissolves upon the addition of HCl, this dissolution is due to the formation of a soluble complex ion.
When \( \text{Pb(NO}_3\text{)}_2 \) and \( \text{NaCl} \) are mixed in water, a precipitation reaction occurs: \[ \text{Pb}^{2+} + 2 \text{Cl}^- \rightarrow \text{PbCl}_2 (s) \] Here, lead(II) chloride (\( \text{PbCl}_2 \)) forms as a white precipitate.
Upon adding excess HCl, the \( \text{PbCl}_2 \) precipitate dissolves, forming a soluble lead(II) chloride complex. This occurs because the chloride ions from HCl coordinate with lead ions to form a complex. The formation of the complex ion can be represented as: \[ \text{PbCl}_2 (s) + 2 \text{Cl}^- \rightleftharpoons [\text{PbCl}_4]^{2-} \] The \( [\text{PbCl}_4]^{2-} \) complex is soluble in water, which leads to the dissolution of the precipitate.
The dissolution of \( \text{PbCl}_2 \) is due to the formation of the soluble \( [\text{PbCl}_4]^{2-} \) complex ion. Therefore, the correct answer is:
The correct option is C: \( [\text{PbCl}_4]^{2-} \)
When lead ions (Pb2+) react with chloride ions (Cl−), a white precipitate of lead(II) chloride (PbCl2) forms.
This precipitate is soluble in concentrated hydrochloric acid due to formation of tetrachloroplumbate (II) ion
So the correct answer option is (C)
A temperature difference can generate e.m.f. in some materials. Let $ S $ be the e.m.f. produced per unit temperature difference between the ends of a wire, $ \sigma $ the electrical conductivity and $ \kappa $ the thermal conductivity of the material of the wire. Taking $ M, L, T, I $ and $ K $ as dimensions of mass, length, time, current and temperature, respectively, the dimensional formula of the quantity $ Z = \frac{S^2 \sigma}{\kappa} $ is:
Let $ a_0, a_1, ..., a_{23} $ be real numbers such that $$ \left(1 + \frac{2}{5}x \right)^{23} = \sum_{i=0}^{23} a_i x^i $$ for every real number $ x $. Let $ a_r $ be the largest among the numbers $ a_j $ for $ 0 \leq j \leq 23 $. Then the value of $ r $ is ________.
Let $ y(x) $ be the solution of the differential equation $$ x^2 \frac{dy}{dx} + xy = x^2 + y^2, \quad x > \frac{1}{e}, $$ satisfying $ y(1) = 0 $. Then the value of $ 2 \cdot \frac{(y(e))^2}{y(e^2)} $ is ________.