In the electrolysis of a ${\mathrm{CuSO}}_4$ solution, how many grams of $\mathrm{Cu}$ are plated out on the cathode, in the time that is required to liberate $5.6 \mathrm{L}$ of ${\mathrm{O}}_2( \mathrm{g})$, measured at $1 \mathrm{atm}$ and $273 \mathrm{K}$, at the anode?

Which of the following practices will not come under green chemistry?

The following reactions is an example of ....... reaction. \(\mathrm{C}_2 \mathrm{H}_4 \mathrm{Br}_2 \longrightarrow \mathrm{C}_2 \mathrm{H}_2\)

Consider the following reaction equilibrium:
\(\mathrm{N}_2(g)+3 \mathrm{H}_2(g) \rightleftharpoons 2 \mathrm{NH}_3(g)\)
Initially, 1 mole of \(\mathrm{N}_2\) and 3 moles of \(\mathrm{H}_2\) are taken in a \(2 \mathrm{~L}\) flask. At equilibrium state if, the number of moles of \(\mathrm{N}_2\) is 0.6 , what is the total number of moles of all gases present in the flask?

How many oxides among the following are basic in nature?
\[
\begin{aligned}
& \mathrm{As}_2 \mathrm{O}_3, \mathrm{Na}_2 \mathrm{O}, \mathrm{MgO}, \mathrm{Mn}_2 \mathrm{O}_3, \mathrm{CaO}, \mathrm{ZnO}, \mathrm{N}_2 \mathrm{O} \text {, } \\
& \mathrm{N}_2 \mathrm{O}_5
\end{aligned}
\]

At \(300 \mathrm{~K}\) the enthalpy change for the following reaction is \(-2800 \mathrm{~kJ} \mathrm{~mol}^{-1}\)

The electrolyte used in mercury cell is

Let \(\mathrm{e}\) be the eccentricity of the ellipse \(\frac{\mathrm{x}^2}{4}+\frac{\mathrm{y}^2}{9}=1\). If \(\frac{1}{\mathrm{e}}\) is the eccentricity of a hyperbola, then the eccentricity of its conjugate hyperbola is

\(\frac{\tan 80^{\circ}-\tan 10^{\circ}}{\tan 70^{\circ}}\) is equal to

A capacitor is made of a flat plate of area \(A\) and a second plate of stair-like structure as shown in the figure. The area of each stair is \(\frac{A}{3}\) and the height is \(d\). The capacitance of the arrangement is

At \(\mathrm{T}(\mathrm{K}), \mathrm{K}_{\mathrm{c}}\) value of \(\mathrm{AO}_2(\mathrm{~g})+\mathrm{BO}_2(\mathrm{~g}) \rightleftharpoons \mathrm{AO}_3(\mathrm{~g})+\mathrm{BO}(\mathrm{g})\) is 16. In a closed 1 L flask, one mole each of \(\mathrm{AO}_2, \mathrm{BO}_2, \mathrm{AO}_3\) and BO are taken and heated to \(\mathrm{T}(\mathrm{K})\). Identify the correct statements about this equilibrium.
I) Total number of moles at equilibrium is 4
II) At equilibrium, the ratio of moles of \(\mathrm{AO}_2\) and \(\mathrm{AO}_3\) is \(1: 4\)
III) Total number of moles of \(\mathrm{AO}_2\) and \(\mathrm{BO}_2\) at equilibrium is 0.8

For \(0 < x \leq \pi, \sinh ^{-1}(\cot x)\) is equal to

The magnetic field due to current carrying a circular loop of radius \(5 \mathrm{~cm}\) at a point on the axis at a distance of \(12 \mathrm{~cm}\) from the centre is \(250 \mu \mathrm{T}\). The magnetic field at the centre of the loop is