Consider the following reaction:
\(3 \mathrm{PbCl}_2+2\left(\mathrm{NH}_4\right)_3 \mathrm{PO}_4 \rightarrow \)\(\mathrm{Pb}_3\left(\mathrm{PO}_4\right)_2+6 \mathrm{NH}_4 \mathrm{Cl}\)
If \(72 \mathrm{mmol}\) of \(\mathrm{PbCl}_2\) is mixed with \(50 \mathrm{mmol}\) of\(\left(\mathrm{NH}_4\right)_3 \mathrm{PO}_4\), then amount of \(\mathrm{Pb}_3\left(\mathrm{PO}_4\right)_2\) formed is _______ mmol. (nearest integer)

Given below are two statements :
Statement I : '\( C-Cl \)' bond is stronger in \( CH_{2}=CH-Cl \) than \( CH_{3}-CH_{2}-Cl \)
Statement II : The given optically active molecule

on hydrolysis gives a solution that can rotate the plane polarized light.
In the light of the above statements, choose the correct answer from the options given below

The \(IUPAC\) name of the following compound is

Identify \(\mathrm{A}, \mathrm{B}\) and C in the given below reaction sequence.
\(\mathrm{A} \xrightarrow{\mathrm{HNO}_3} \mathrm{~Pb}\left(\mathrm{NO}_3\right)_2 \xrightarrow{\mathrm{H}_2 \mathrm{SO}_4}\) B \(\xrightarrow[\substack{\text { (2) Acetic acid } \\ \text { (3) } \mathrm{K}_2 \mathrm{CrO}_4}]{\substack{\text { (1) Ammonium } \\ \text { acetate }}}\)

The compound that has the largest \(H - M - H\) bond angle \(( M = N , O , S , C ),\) is :

A solution containing \(10 \mathrm{~g}\) of an electrolyte \(\mathrm{AB}_2\) in \(100 \mathrm{~g}\) of water boils at \(100.52^{\circ} \mathrm{C}\). The degree of ionization of the electrolyte \((\alpha)\) is _______ \(\times 10^{-1}\). (nearest integer) [Given : Molar mass of \(\mathrm{AB}_2=200 \mathrm{~g} \mathrm{~mol}^{-1} \cdot \mathrm{K}_{\mathrm{b}}\) (molal boiling point elevation const. of water) \(=0.52 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}\), boiling point of water \(=100^{\circ} \mathrm{C}\); \(\mathrm{AB}_2\) ionises as \(\left.\mathrm{AB}_2 \rightarrow \mathrm{A}^{2+}+2 \mathrm{~B}^{-}\right]\)

Which of the following statement is true with respect to \(\mathrm{H}_2 \mathrm{O}, \mathrm{NH}_3\) and \(\mathrm{CH}_4\) ?
A. The central atoms of all the molecules are \(\mathrm{sp}^3\) hybridized.
B. The \(\mathrm{H}-\mathrm{O}-\mathrm{H}, \mathrm{H}-\mathrm{N}-\mathrm{H}\) and \(\mathrm{H}-\mathrm{C}-\mathrm{H}\) angles in the above molecules are \(104.5^{\circ}, 107.5^{\circ}\) and \(109.5^{\circ}\), respectively.
C. The increasing order of dipole moment is \(\mathrm{CH}_4 \lt \mathrm{NH}_3 \lt \mathrm{H}_2 \mathrm{O}\).
D. Both \(\mathrm{H}_2 \mathrm{O}\) and \(\mathrm{NH}_3\) are Lewis acids and \(\mathrm{CH}_4\) is a Lewis base.
E. A solution of \(\mathrm{NH}_3\) in \(\mathrm{H}_2 \mathrm{O}\) is basic. In this solution \(\mathrm{NH}_3\) and \(\mathrm{H}_2 \mathrm{O}\) act as Lowry-Bronsted acid and base respectively.
Choose the correct answer from the options given below:

Which transition in the hydrogen spectrum would have the same wavelength as the Balmer type transition from \(n =4\) to \(n =2\) of \(He ^{+}\)spectrum

A galvanometer having a coil of resistance \(30 \Omega\) need 20 mA of current for full-scale deflection. If a maximum current of 3 A is to be measured using this galvanometer, the resistance of the shunt to be added to the galvanometer should be \(\frac{30}{X} \Omega\), where \(X\) is ________.

The sum of \(162^{\text {th }}\) power of the roots of the equation \(x^{3}-2 x^{2}+2 x-1=0\) is

\(\sum_{\mathrm{k}=0}^{20}\left({ }^{20} \mathrm{C}_{\mathrm{k}}\right)^{2}\) is equal to :

Gas 'A' undergoes change from state 'X' to state 'Y'. In this process, the heat absorbed and work done by the gas is \(10\) J and \(18\) J respectively. Now gas is brought back to state 'X' by another process during which \(6\) J of heat is evolved. In the reverse process of 'Y' to 'X',

Which of the following statements regarding the energy of the stationary state is true in the following one-electron system ?