If the half life of a first order reaction is \(6.93\) minutes then the time required for completion of \(99\)% of the reaction will be _____ minutes.
(Given : \(\log 2 = 0.3010\))

Kjeldahl's method was used for the estimation of nitrogen in an organic compound. The ammonia evolved from \(0.55\, g\) of the compound neutralised \(12.5\, mL\) of \(1\, M \,H _{2} SO _{4}\) solution. The percentage of nitrogen in the compound is \(.....\) (Nearest integer)

Arrange the following in decreasing acidic strength.

The correct statements from the following are : \((A)\) The decreasing order of atomic radii of group \(13\) elements is \(\mathrm{Tl}>\mathrm{In}>\mathrm{Ga}>\mathrm{Al}>\mathrm{B}\). \((B)\) Down the group \(13\) electronegativity decreases from top to bottom. \((C)\) \(\mathrm{Al}\) dissolves in dil. \(\mathrm{HCl}\) and liberate \(\mathrm{H}_2\) but conc. \(\mathrm{HNO}_3\) renders Al passive by forming a protective oxide layer on the surface. \((D)\) All elements of group \(13\) exhibits highly stable +1 oxidation state. \((E)\) Hybridisation of \(\mathrm{Al}\) in \(\left[\mathrm{Al}\left(\mathrm{H}_2 \mathrm{O}\right)_6\right]^{3+}\) ion is \(\mathrm{sp}^3 \mathrm{~d}^2\). Choose the correct answer from the options given below:

\(\mathrm{KMnO}_4\) acts as an oxidising agent in acidic medium. ' X ' is the difference between the oxidation states of Mn in reactant and product. ' Y ' is the number of ' d ' electrons present in the brown red precipitate formed at the end of the acetate ion test with neutral ferric chloride. The value of \(\mathrm{X}+\mathrm{Y}\) is ______.

For the thermal decomposition of \(\mathrm{N}_2 \mathrm{O}_5(\mathrm{~g})\) at constant volume, the following table can be formed, for the reaction mentioned below.
\(2 \mathrm{~N}_2 \mathrm{O}_5(\mathrm{~g}) \rightarrow 2 \mathrm{~N}_2 \mathrm{O}_4(\mathrm{~g})+\mathrm{O}_2(\mathrm{~g})\)

\(\mathrm{x}=\ldots \times 10^{-3} \mathrm{~atm} \text { [nearest integer] }\)
Given : Rate constant for the reaction is \(4.606 \times 10^{-2} \mathrm{~s}^{-1}\).

Number of compounds from the following which will not dissolve in cold \(NaHCO _3\) and \(NaOH\) solutions but will dissolve in hot \(NaOH\) solution is \(........\).

A particle which is experiencing a force, given by \(\vec F = 3\vec i -12\vec j\), undergoes a displacement of \(\vec d = 4\vec i\) . If the particle had a kinetic energy of \(3\, J\) at the beginning of the displacement, what is its kinetic energy at the end of the displacement?

Two wires \(A\) and \(B\) made of different materials of length 6.0 cm and 5.4 cm, respectively and area of cross sections \(3.0 \times 10^{-5} m^2\) and \(4.5 \times 10^{-5} m^2\), respectively are stretched by the same magnitude under a given load. The ratio of the Young's modulus of \(A\) to that of \(B\) is \(x : 3\). The value of x is ___________.

Number of atoms in the following samples of substances is largest in

For the following Assertion and Reason, the correct option is Assertion \((A)\) \(:\) When Cu \((II)\) and sulphide ions are mixed, they react together extremely quickly to give a solid. Reason \((R)\) \(:\) The equilibrium constant of \(Cu ^{2+}( aq )+ S ^{2-}( aq ) \rightleftharpoons \operatorname{CuS}( s )\) is high because the solubility product is low.  

Young's moduli of the material of wires \(A\) and \(B\) are in the ratio of \(1: 4\), while its area of cross sections are in the ratio of \(1: 3\). If the same amount of load is applied to both the wires, the amount of elongation produced in the wires \(A\) and \(B\) will be in the ratio of [Assume length of wires \(A\) and \(B\) are same]

Let \(p\) and \(p+2\) be prime numbers and let \(\Delta=\left|\begin{array}{ccc}p ! & (p+1) ! & (p+2) ! \\ (p+1) ! & (p+2) ! & (p+3) ! \\ (p+2) ! & (p+3) ! & (p+4) !\end{array}\right|\) Then the sum of the maximum values of \(\alpha\) and \(\beta\), such that \(p ^{\alpha}\) and \(( p +2)^{\beta}\) divide \(\Delta\), is \(........\)