For a first order reaction, the concentration of reactant was reduced from \(0.03 \mathrm{~mol} \mathrm{~L}^{-1}\) to \(0.02 \mathrm{~mol} \mathrm{~L}^{-1}\) in 25 min . What is its rate (in \(\left.\mathrm{mol} \mathrm{L}^{-1}, s^{-1}\right)\) ?

Identify the major product of the given reaction

The Freundlich adsorption isotherm varies with temperature according to the figure given below. Choose the correct option accordingly.

The number of octahedral and tetrahedral holes respectively present in a hexagonal close packed ( \(h c p)\) crystal of ' \(X\) ' atoms are

Chlorine containing artificial sweetner is

Assertion (A):- ${\mathrm{MgSO}}_4$ is readily soluble in water Reason (R):- The greater hydration enthalpy of ${\mathrm{Mg}}^{2+}$ ions overcome its lattice enthalpy.

Which of the following is not a characteristic of chemisorption?

The period of the function \(f(\theta)=\sin \frac{\theta}{3}+\cos \frac{\theta}{2}\) is

Identify the reactions in which dichromate acts as an oxidising reagent.
I. \(\mathrm{Cr}_2 \mathrm{O}_7^{2-}+6 \mathrm{Fe}^{2+}+14 \mathrm{H}^{+} \longrightarrow 2 \mathrm{Cr}^{3+}+6 \mathrm{Fe}^{3+}+7 \mathrm{H}_2 \mathrm{O}\)
II. \(\mathrm{Cr}_2 \mathrm{O}_7^{2-}+2 \mathrm{OH}^{-} \longrightarrow 2 \mathrm{CrO}_4^{2-}+\mathrm{H}_2 \mathrm{O}\)
III. \(\mathrm{Cr}_2 \mathrm{O}_7^{2-}+6 \mathrm{I}^{-}+14 \mathrm{H}^{+} \longrightarrow 2 \mathrm{Cr}^{3+}+3 \mathrm{I}_2+7 \mathrm{H}_2 \mathrm{O}\)
IV. \(\mathrm{Na}_2 \mathrm{Cr}_2 \mathrm{O}_7+2 \mathrm{KCl} \longrightarrow \mathrm{K}_2 \mathrm{Cr}_2 \mathrm{O}_7+2 \mathrm{NaCl}\)

Equation of the circle having its centre on the line \(2 x+y\) \(+3=0\) and having the lines \(3 x+4 y-18=0,3 x+4 y+2=\) 0 as tangents is

In \(\triangle \mathrm{ABC}\), if \(\cos \mathrm{A}+\cos \mathrm{C}=4 \sin ^2 \frac{\mathrm{B}}{2}\), then the ratio between the perimeter of the triangle and \((a+c)\) is

The angle between the straight lines \(x^2+4 x y+y^2=0\) is.......

To remove the second term of the equation \(x^4-8 x^3+x^2-x+3=0\), diminish the roots of the equation by