If the degree of association is \(70 \%\) for the reaction \(2 A \rightleftharpoons(A)_2\) the van't-Hoff factor for the solute \(A\) is

Consider the following reactions involving some atmospheric pollutants. \(\begin{aligned} & \mathrm{NO}+\mathrm{O}_3 \rightarrow \mathrm{NO}_2+\mathrm{O}_2 \xrightarrow{h \nu} \mathrm{NO}+\mathrm{O}_3 \ & 4 \mathrm{NO}_2+\mathrm{O}_2+2 \mathrm{H}_2 \mathrm{O} \longrightarrow 4 \mathrm{HNO}_3 \ & 3 \mathrm{CH}_4+2 \mathrm{O}_3 \longrightarrow 3 \mathrm{H}_2 \mathrm{C}=\mathrm{O}+3 \mathrm{H}_2 \mathrm{O} \end{aligned}\) Based on the above, the formation of formaldehyde from methane in the atmosphere will be controlled by

What is \(Z\) in the following reaction? \(\mathrm{CH}_3-\mathrm{CH}_2-\mathrm{CO}_2^{\ominus} \mathrm{Na}^{\oplus} \stackrel{\mathrm{NaOH} / \mathrm{CaO}}{\longrightarrow} Z\)

The empirical formula of the compound ' D ' formed in the given reaction sequence is

In ${\mathrm{CO}}_2$ molecule, the hybridizations of carbon and oxygen atoms are respectively

For a particular reaction, the rate constant becomes double on increasing temperature from \(27^{\circ} \mathrm{C}\) to \(37^{\circ} \mathrm{C}\). Calculate the approximate activation energy (in kcal \(\mathrm{mol}^{-1} R=2 \mathrm{cal} \mathrm{mol}^{-1} \mathrm{~K}^{-1}\) )

\[ \begin{aligned} & \text { Given } \mathrm{H}_2(\mathrm{~g})+\frac{1}{2} \mathrm{O}_2(\mathrm{~g}) \rightarrow \mathrm{H}_2 \mathrm{O}(l) ; \Delta \mathrm{H}=-285 \mathrm{~kJ} \ & \mathrm{~N}_2 \mathrm{O}_5(\mathrm{~g})+\mathrm{H}_2 \mathrm{O}(l) \rightarrow 2 \mathrm{HNO}_3(l) ; \Delta \mathrm{H}=-76.6 \mathrm{~kJ} \ & \mathrm{~N}_2(\mathrm{~g})+3 \mathrm{O}_2(\mathrm{~g})+\mathrm{H}_2(\mathrm{~g}) \rightarrow 2 \mathrm{HNO}_3(l) ; \Delta \mathrm{H}=-348.2 \mathrm{~kJ} \ & \text { Calculate the } \Delta \mathrm{H} \text { of } 2 \mathrm{~N}_2(\mathrm{~g})+5 \mathrm{O}_2(\mathrm{~g}) \rightarrow 2 \mathrm{~N}_2 \mathrm{O}_5(\mathrm{~g}) \end{aligned} \] Calculate the \(\Delta \mathrm{H}\) of \(2 \mathrm{~N}_2(\mathrm{~g})+5 \mathrm{O}_2(\mathrm{~g}) \rightarrow 2 \mathrm{~N}_2 \mathrm{O}_5(\mathrm{~g})\).

If $\cos hx=\frac{\sqrt{14}}{3}, \sin hx=\cos \theta$ and $-\mathrm{\pi }<\theta <-\frac{\mathrm{\pi }}{2}$, then $\sin \theta =$

In which allotropes of carbon does each carbon atom form four bonds with other carbon atoms?

If $A+B=\left[\begin{array}{lll}2& 1& 2\\ 1& 2& 0\\ 0& 2& 2\end{array}\right],AB=\left[\begin{array}{lll}1& 2& 2\\ 1& 1& 0\\ 1& 2& 1\end{array}\right]$ then $A^2+B\left(A+B\right)=$

If A and B are arbitrary constants, then the differential equation having \(\mathrm{y}=\mathrm{Ae}^{\mathrm{x}}+\mathrm{B} \sin 2 \mathrm{x}\) as its general solution is

The equation of the circle whose radius is 3 and which touches the circle \(x^2+y^2-4 x-6 y-12=0\) internally at \((-1,-1)\) is

The oxidation states of three carbon atoms in carbon suboxide \(\left(\mathrm{C}_3 \mathrm{O}_2\right)\) respectively are