The metal that has very low melting point and its periodic position is closer to a metalloid is.

Suitable reaction condition for preparation of Methyl phenyl ether is

Copper reduces \(NO _{3}^{-}\) into \(NO\) and \(NO _{2}\) depending uponthe concentration of \(HNO _{3}\) insolution. (Assuming fixed \(\left[ Cu ^{2+}\right]\) and \(\left. P _{ NO }= P _{ NO _{2}}\right),\) the \(HNO _{3}\) concentration at which the thermodynamic tendency for reduction of \(NO _{3}^{-}\) into \(NO\) and \(NO _{2}\) by copper is same is \(10^{ x }\, M\). The value of \(2 x\) is ...... . \(\left[\right.\) Given \(, E_{C u^{2+} / C u}^{o}=0.34\, V , E _{ NO _{3}^{-} / NO_2 }^{\circ}=0.96\, V\) (Rounded-off to the nearest integer) \(E _{ NO _{3} / NO _{2}}^{\circ}=0.79 \,V\) and at \(298 \,K\)  \(\left.\frac{ RT }{ F }(2.303)=0.059\right]\)

For above chemical reactions, identify the correct statement from the following:

Kjeldahl's method was used for the estimation of nitrogen in an organic compound. The ammonia evolved from \(0.55\, g\) of the compound neutralised \(12.5\, mL\) of \(1\, M \,H _{2} SO _{4}\) solution. The percentage of nitrogen in the compound is \(.....\) (Nearest integer)

When \(0.15\, \mathrm{~g}\) of an organic compound was analyzed using Carius method for estimation of bromine, \(0.2397 \,\mathrm{~g}\) of \(AgBr\) was obtained. The percentage of bromine in the organic compound is \(.....\) (Nearest integer) [Atomic mass : Silver \(=108\), Bromine \(=80]\)

Consider the following reactions. Total number of electrons in the \(\pi\) bonds and lone pair of electrons in the product \((X)\) is :

The number of times the digit \(3\) will be written when listing the integers from \(1\) to \(1000\) is

The ionization enthalpy of \(Na ^{+}\) formation from \(Na _{( g )}\) is \(495.8\, kJ\, mol ^{-1},\) while the electron gain enthalpy of \(Br\) is \(-325.0\, kJ\, mol ^{-1}\). Given the lattice enthalpy of \(NaBr\) is \(-728.4\, kJ\, mol ^{-1}\). The energy for the formation of NaBr ionic solid is \((-)\) ........... \(\times 10^{-1} kJ \,mol ^{-1}\)

In which of the following pairs of molecules/ions, both the species are not likely to exist?

If the function \(f(x)=2 x^3-9 a x^2+12 a^2 x+1, a>0\) has a local maximum at \(\mathrm{x}=\alpha\) and a local minimum \(x=\alpha^2\), then \(\alpha\) and \(\alpha^2\) are the roots of the equation :

The osmotic pressure of a solution of \(NaCl\) is \(0.10\) \(atm\) and that of a glucose solution is \(0.20\) \(atm.\) The osmotic pressure of a solution formed by mixing \(1\, L\) of the sodium chloride solution with \(2\, L\) of the glucose solution is \(x \times 10^{-3}\) atm. \(x\) is.......... (nearest integer)

A value of \(\theta  \in  (0, \pi /3)\), for which \(\left| {\begin{array}{*{20}{c}}
  {1 + {{\cos }^2}\,\theta }&{{{\sin }^2}\,\theta }&{4\,\cos \,6\theta } \\ 
  {{{\cos }^2}\,\theta }&{1 + {{\sin }^2}\,\theta }&{4\,\cos \,6\theta } \\ 
  {{{\cos }^2}\,\theta }&{{{\sin }^2}\,\theta }&{1 + 4\,\cos \,6\theta } 
\end{array}} \right| = 0\), is