Calculate the quantity of \(\mathrm{CO}_2\) required to prepare \(1 \mathrm{~L}\) of soda water when the soda water was packed under \(2 \mathrm{~atm}\) of \(\mathrm{CO}_2\). [Henry's law constant for \(\mathrm{CO}_2\) is \(1.67 \times 10^8 \mathrm{~Pa}\) ]

Helium mixed with oxygen is used in the treatment of

Zinc on reaction with concentrated nitric acid gives an oxide of nitrogen (A). Zinc with dilute nitric acid gives another oxide of nitrogen (B). Oxidation numbers of nitrogen in (A) & (B) are respectively

With reference to the redox properties of hydrogen peroxide \(\left(\mathrm{H}_2 \mathrm{O}_2\right)\), which of these reactions are feasible? (i) \(2 \mathrm{Fe}^{2+} 2 \mathrm{H}^{+}+\mathrm{H}_2 \mathrm{O}_2 \longrightarrow 2 \mathrm{Fe}^{3+}+2 \mathrm{H}_2 \mathrm{O}\) (ii) \(2 \mathrm{MnO}_4^{-}+6 \mathrm{H}^{+}+5 \mathrm{H}_2 \mathrm{O}_2 \longrightarrow 2 \mathrm{Mn}^{2+}\) \(+8 \mathrm{H}_2 \mathrm{O}+5 \mathrm{O}_2\) (iii) \(2 \mathrm{Fe}^{2+}+\mathrm{H}_2 \mathrm{O}_2 \longrightarrow 2 \mathrm{Fe}^{3+}+2 \mathrm{OH}^{-}\) (iv)\(2 \mathrm{MnO}_4^{-}+3 \mathrm{H}_2 \mathrm{O}_2 \longrightarrow 2 \mathrm{MnO}_2+2 \mathrm{H}_2 \mathrm{O}\) \(+3 \mathrm{O}_2+2 \mathrm{OH}^{-}\)

The energy (in eV) associated with the electron in the lst orbit of \(\mathrm{Li}^{2+}\) is

Electrolysis of aqueous copper (II) sulphate between Pt electrodes gives ' X ' at anode and ' Y ' at cathode. X and Y are respectively

Powdered Beryllium burns in air to give

Match the following :

The correct match is: \(\begin{array}{llll} A & B & C & D \end{array}\)

Find out the correct order of ionic character in the following molecules $\left(\mathrm{i}\right) {\mathrm{SO}}_2$     $\left(\mathrm{ii}\right) {\mathrm{K}}_2\mathrm{O}$     $\left(\mathrm{iii}\right) {\mathrm{N}}_2$    $\left(\mathrm{iv}\right) \mathrm{LiF}$

If \(u=\sin ^{-1}\left(\frac{x}{y}\right)+\tan ^{-1}\left(\frac{y}{x}\right)\), then the value \(x \frac{\partial u}{\partial x}+y \frac{\partial u}{\partial y}\) is

\(\int\left(\frac{4 \tan ^4 x+3 \tan ^2 x-1}{\tan ^2 x+4}\right) d x=\)

If the tangent to the curve $xy+ax+by=0$ at $\left(1, 1\right)$ makes an angle $\tan {}^{-1}2$ with $x$-axis, then $\frac{a+b}{ab}=$

Metal detector works on the principle of