Nitrogen gas is obtained by thermal decomposition of .... .

Two liquids A and B form an ideal solution at temperature T K. At T K, the vapour pressures of pure A and B are 55 and 15 \(kNm^{-2}\) respectively. What is the mole fraction of A in solution of A and B in equilibrium with a vapour in which the mole fraction of A is 0.8 ?

The decreasing order of reactivity of the following compounds towards nucleophilic substitution \(\left( S _{ N }{ }^{2}\right)\) is :

Which of the following have same number of significant figures? (A) \(0.00253\) (B) \(1.0003\) (C) \(15.0\) (D) \(163\) Choose the correct answer from the options given below

The electronic spectrum of \(\left[ Ti \left( H _{2} O \right)_{6}\right]^{3+}\) shows a single broad peak with a maximum at \(20,300\, cm ^{-1} .\) The crystal field stabilization energy \((CFSE)\) of the complex ion, in \(kJ\, mol ^{-1}\), is :

Match List\(-I\) with List\(-II\)

	List\(-I\)		List\(-II\)
\((a)\)	Sucrose	\((i)\)	\(\beta\) -D-Galactose and \(\beta\) -D-Glucose
\((b)\)	Lactose	\((ii)\)	\(\alpha\) -D-Glucose and \(\beta\) -D-Fructose
\((c)\)	Maltose	\((iii)\)	\(\alpha\) -D-Glucose and \(\alpha\) -D-Glucose

Choose the correct answer from the options given below:

The number of species below that have two lone pairs of electrons in their central atom is ..... . (Round off to the Nearest integer) \(SF _{4}, BF _{4}^{-}, CIF _{3}, AsF _{3}, PCl _{5}, BrF _{5}, XeF _{4}, SF _{6}\)

Let \(P Q\) be a chord of the parabola \(y^2=12 x\) and the midpoint of \(PQ\) be at \((4,1)\). Then, which of the following point lies on the line passing through the points \(\mathrm{P}\) and \(\mathrm{Q}\) ?

The minimum area of a triangle formed by any tangent to the ellipse \(\frac{{{x^2}}}{{16}} + \frac{{{y^2}}}{{81}} = 1\) and the co-ordinate axes is

The most abundant elements by mass in the body of a healthy human adult are : Oxygen \((61.4\%);\) Carbon \((22.9\%),\) Hydrogen \((10.0\%);\) and Nitrogen \((2.6\%).\) The weight which a \(75\, kg\) person would gain if all \(^1H\) atoms are replaced by \(^2H\) atoms is ....... \(kg\)

When \(400\, \mathrm{~mL}\) of \(0.2\, \mathrm{M} \,\mathrm{H}_{2} \mathrm{SO}_{4}\) solution is mixed with \(600\, \mathrm{~mL}\) of \(0.1\, \mathrm{M} \,\mathrm{NaOH}\) solution, the increase in temperature of the final solution is \(....\,\times 10^{-2} \,\mathrm{~K}\). (Round off to the Nearest Integer). \(\left[\right.\) Use \(: \mathrm{H}^{+}(\mathrm{aq})+\mathrm{OH}^{-}(\mathrm{aq}) \rightarrow \mathrm{H}_{2} \mathrm{O}: \Delta_{\mathrm{\gamma}} \mathrm{H}=-57.1\, \mathrm{k} \mathrm{J} \,\mathrm{mol}^{-1}\) Specific heat of \(\mathrm{H}_{2} \mathrm{O}=4.18 \mathrm{Jk}^{-} \mathrm{g}^{-}\) density of \(\mathrm{H}_{2} \mathrm{O}=1.0\, \mathrm{~g} \mathrm{~cm}^{-3}\) Assume no change in volume of solution on mixing.]

Let \(f(x)=\sqrt{\lim _{r \rightarrow x}\left\{\frac{2 r^2\left[(f(r))^2-f(x) f(r)\right]}{r^2-x^2}-r^3 e^{\frac{f(r)}{r}}\right\}}\) be differentiable in \((-\infty, 0) \cup(0, \infty)\) and \(f(1)=1\). Then the value of \(ea\), such that \(f(a)=0\), is equal to ...........

A molecule \(M\) associates in a given solvent according to the equation \(M\, \rightleftharpoons \,{(M)_n}\) For a certain concentration of \(M,\) the van't Hoff factor was found to be \(0 .9\) and the fraction of associated molecules was \(0.2.\) The value of \(n\) is