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

What is the mole fraction of solute in a \(5 \mathrm{~m}\) aqueous solution?

Identify the correct statement regarding corrosion of iron rod left exposed to atmosphere.

The Activation energy for the reaction \(A \rightarrow B+C\), at a temperature \(\mathrm{TK}\) was \(0.04606 \mathrm{~RT} \mathrm{~J} / \mathrm{mol}\). What is the ratio of Arrhenius factor to the Rate constant for this reaction?

The order of reactivities of methyl halides in the formation of Grignard reagent is

Identify the correct statement.

Match \(\mathrm{A}, \mathrm{B}, \mathrm{C}\) and D with the appropriate functions given.
\(\begin{array}{|l|l|l|l|} \hline & \text { Column I } & & \text { Functions } \\ \hline \text { A } & \text { Oxidoreductase } & \text { P } & \text { Malfunctioning leads to Addison's disease. } \\ \hline \text { B } & \text { Phosphodiester bonds } & \text { Q } & \text { Regulates responses to external stimuli. } \\ \hline \text { C } & \text { Adrenal cortex } & \text { R } & \text { Catalyses glycolysis. } \\ \hline \text { D } & \text { Epinephrine. } & \text { S } & \text { Links nucleotides together. } \\ \hline \end{array}\)

A mercury-198 nucleus is bombarded by a neutron, which causes a nuclear reaction
\({}^{1}_{0}n + {}^{198}_{80}Hg \longrightarrow {}^{197}_{79}Au + X\)
What is the unknown product particle X?

What is the function platelets?

\(\int \dfrac{e^{\log\left(1+\frac{1}{x^2}\right)}}{x^2 + \dfrac{1}{x^2}}\ dx =\)

Which of the following molecules have three bond pairs but different shape?
(i) \(\mathrm{BCl}_3\)
(ii) \(\mathrm{H}_2 \mathrm{~S}\)
(iii) \(\mathrm{PH}_3\)
(iv) \(\mathrm{AsF}_5\)

Find the centre and radius of the circle given by the equation \(2 x^{2}+2 y^{2}+3 x+4 y+\dfrac{9}{8}=0\).

If the circles \(x^{2}+y^{2}-2 x-2 y-7=0\) and \(x^{2}+y^{2}+4 x+2 y+k=0\) cut orthogonally, then the length of the common chord of the circles is