At \(T(\mathrm{~K})\), if the ionisation constant of ammonia in solution is \(2.5 \times 10^{-5}\), the \(\mathrm{pH}\) of \(0.01 \mathrm{M}\) ammonia solution and the ionisation constant of its conjugate acid respectively at that temperature are \((\log 2=0.30)\)

The standard reduction potentials of \(\mathrm{Zn}^{2+}\left|\mathrm{Zn}, \mathrm{Cu}^{2+}\right| \mathrm{Cu}\) and \(\mathrm{Ag}^{+} \mid \mathrm{Cu}\) and \(\mathrm{Ag}^{+} \mid \mathrm{Ag}\) are respectively \(-0.76,0.34\) and \(0.8 \mathrm{~V}\). The following cells were constructed :
(1) \(\mathrm{Zn}\left|\mathrm{Zn}^{2+}\right|\left|\mathrm{Cu}^{2+}\right| \mathrm{Cu}\)
(2) \(\mathrm{Zn}\left|\mathrm{Zn}^{2+}\right|\left|\mathrm{Ag}^{+}\right| \mathrm{Ag}\)
(3) \(\mathrm{Cu}\left|\mathrm{Cu}^{2+} \| \mathrm{Ag}^{+}\right| \mathrm{Ag}\)
What is the correct order of \(E_{\text {cell }}^{\circ}\) of these cells?

\(0.066 \mathrm{~g}\) of metal was deposited when a current of 2 ampere is passed through a metal ion solution for 100 seconds. What is the electrochemical equivalent (in gram coulomb \(^{-1}\) ) of the metal?

Identify the set of molecules in which the central atom has only one lone pair of electrons in their valence shells

In which of the following molecules, maximum number of lone pairs is present on the central atom?

Assertion \((\mathrm{A})\left[\mathrm{SiF}_6\right]^{2-}\) is formed but \(\left[\mathrm{SiCl}_6\right]^{2-}\) is not
Reason (R) Electronegativity (EN) of \(\mathrm{F}\) is higher than \(\mathrm{EN}\) of \(\mathrm{Cl}\)

Phosphorous can be stored in

Let \(z\) and \(w\) be two distinct non-zero complex numbers if \(|z|^2 w-|w|^2 z=z-w\), then

If $\frac{x^2+5x+7}{(x-3{)}^3}=\frac{A}{(x-3)}+\frac{B}{(x-3{)}^2}+\frac{C}{(x-3{)}^3}$ , then $9A-3B+C=$

\(\mathrm{HClO}_4\) is a stronger acid than \(\mathrm{H}_2 \mathrm{SO}_4\) due to which of the following reasons?

Suppose a triangle of area 27 sq. units is formed by \(18 x^2-9 x y+y^2=0\) and \(y=c\). Then the centroid of the triangle is

The derivative of \(\tan ^{-1}\left[\frac{x}{1+\sqrt{1-x^2}}\right]\) with respect to \(\sec ^{-1}\left(\frac{1}{2 x^2-1}\right)\) is

The \(\mathrm{E}^{\circ}\) of \(\mathrm{M} \mid \mathrm{M}^{2+} \| \mathrm{Cu}^{2+} / \mathrm{Cu}\) is 0.3 V , At what concentration of \(\mathrm{Cu}^{2+}\) (in \(\mathrm{mol} \mathrm{L}^{-1}\) ), the \(\mathrm{E}_{\text {cell }}\) value becomes zero?
\(\left(\frac{2.303 R T}{F}=0.06\right)\left(\text { Conc. of } \mathrm{M}^{2+}=0.1 \mathrm{M}\right)\)