For a given reaction of the type \(\dfrac{3}{5} X(a q) \rightarrow \dfrac{1}{2} Y(a q)+Z(g)\), the correct expression for the rate of disappearance of \(X\) with reference to \(Y\) is \(\qquad\)

The IUPAC name of

is

Lead storage battery contains \(4.25 \mathrm{M}\) \(\mathrm{H}_2 \mathrm{SO}_4\) which has a density of \(1.24 \mathrm{~g} / \mathrm{ml}\). Calculate the molality of aqueous solution of \(\mathrm{H}_2 \mathrm{SO}_4\).

Which of the following is an INCORRECT statement?

How much faster would a reaction proceed at \(25^{\circ} \mathrm{C}\) than at \(0^{\circ} \mathrm{C}\) if the activation energy is \(65 \mathrm{~kJ}\)?

The electronic configuration of the element with atomic number 78 is:

The number of \(2 p\) electrons having spin quantum number \(s=-1 / 2\) are

Match the reactions in Column I with the correct products given in Column II:
\(\begin{array}{|l|l|l|l|} \hline \text{S.N.} & \text{Column I} & \text{S.No.} & \text{Column II} \\ \hline \text{A} & 1- \text{Chloropropane} + (\mathrm{Zn} / \mathrm{HCl}) \rightarrow & \text{P} & \text{Propanone + Methanal} \\ \hline \text{B} & n- \text{Hexane + (anh.} \left.\mathrm{AlCl}_3 / \mathrm{HCl}_{(\mathrm{g})}\right) \rightarrow & \text{Q} & \text{Propanone} \\ \hline \text{C} & 2- \text{Methylpropene} + ( \left.\mathrm{O}_3 ~\&~ \mathrm{Zn} / \mathrm{H}_2 \mathrm{O}\right) \rightarrow & \text{R} & \text{Propane} \\ \hline \text{D} & \text{Propyne} +\left(\mathrm{HgSO}_4 / \mathrm{H}_2 \mathrm{SO}_4\right. at 333 K) \rightarrow & \text{S} & \text{2-Methylpentane + 3-Methylpentane} \\ \hline \end{array}\)

The dimensional formula for specific resistance is:

The angle between the lines \(L_1: \dfrac{x-5}{\alpha}=\dfrac{y+2}{-5}=\dfrac{5 z+24}{5 \beta}\) and \(L_2: x=z, y=0\) is \(\dfrac{\pi}{4}\), then the value of \((4 \alpha \beta)\) is

\(\int\left(e^{x \log _e 6}\right) e^x d x=\phi(x)+c\) then \(\phi(x)=\)

The ratio in which the line \(3 x+4 y+2=0\) divides the distance between the lines \(3 x+4 y+5=0\) and \(3 x+4 y-5=0\) is

If \(\frac{3 x^{2}-2 x+4}{(x-1)^{6}}=\frac{A_{1}}{x+1}+\frac{A_{2}}{(x+1)^{2}}+\frac{A_{3}}{(x+1)^{3}}\) \(+\frac{A_{4}}{(x+1)^{4}}+\frac{A_{5}}{(x+1)^{5}}+\frac{A_{6}}{(x+1)^{6}}\), then \(\left(A_{1}+A_{2}+A_{2}-A_{4}-A_{6}\right)=\)