Volume of \(3 \ \mathrm{M} \ \mathrm{NaOH}\) (formula weight \(40 \mathrm{~g} \mathrm{~mol}^{-1}\) ) which can be prepared from \(84 \mathrm{~g}\) of\(\mathrm{NaOH}\) is_____________ \(\times 10^{-1} \ \mathrm{dm}^3\).

Consider \(|x|\) is the difference in oxidation states of Mn in highest manganese fluoride and highest manganese oxide. The ions with \(|x|\) number of unpaired electrons from the following are:
A. \(Sc^{3+}\)
B. \(Zn^{2+}\)
C. \(V^{2+}\)
D. \(Fe^{2+}\)
E. \(Co^{2+}\)
Choose the correct answer from the options given below:

The molarity of \(\mathrm{HNO}_{3}\) in a sample which has density \(1.4 \;\mathrm{g} / \mathrm{mL}\) and mass percentage of \(63 \%\) is ______ \(\mathrm{M}\) થશે. (Molecular Weight of \(\mathrm{HNO}_{3}=63\) )

If the principal quantam number \(n=6,\) the correct sequence of filling of electron will be

In a cell, the following reactions take place \(Fe ^{2+} \rightarrow Fe ^{3+} + e ^{-} \quad E _{ Fe ^{3+} / Fe ^{2+}}=0.77 \,V\) \(2 I ^{-} \rightarrow I _{2}+2 e ^{-} \quad E _{ I _{2} / I ^{-}}^{0}=0.54 \,V\) The standard electrode potential for the spontaneous reaction in the cell is \(x \times 10^{-2} \,V 298\) \(K\). The value of \(x\) is .... (Nearest Integer)

At \(300\, K\), the vapour pressure of a solution containing \(1\) mole of \(n-\)hexane and \(3\) moles of \(n-\)heptane is \(550\, mm\) of \(Hg\). At the same temperature, if one more mole of n-heptane is added to this solution, the vapour pressure of the solution increases by \(10\, mm\) of \(Hg\). What is the vapour pressure in \(mm Hg\) of \(n-\)heptane in its pure state..........\(?\)

Choose the correct option for the following reactions.

Consider the following cell reaction : \(\mathrm{Cd}_{(s)}+\mathrm{Hg}_{2} \mathrm{SO}_{4(s)}+\frac{9}{5} \mathrm{H}_{2} \mathrm{O}_{(l)} \rightleftharpoons \mathrm{CdSO}_{4} \cdot \frac{9}{5} \mathrm{H}_{2} \mathrm{O}_{(s)}+2 \mathrm{Hg}_{(l)}\) The value of \(\mathrm{E}_{\text {cell }}^{0}\) is \(4.315\, \mathrm{~V}\) at \(25^{\circ} \mathrm{C}\). If \(\Delta \mathrm{H}^{\circ}=-825.2\, \mathrm{~kJ} \,\mathrm{~mol}^{-1}\), the standard entropy change \(\Delta \mathrm{S}^{\circ}\) in \(\mathrm{J} \,\mathrm{K}^{-1}\) is ........ . (Nearest integer) [Given : Faraday constant \(=96487\, \mathrm{C}\, \mathrm{mol}^{-1}\) ]

\(40\, \mathrm{~g}\) of glucose (Molar mass \(=180\) ) is mixed with \(200\, \mathrm{~mL}\) of water. The freezing point of solution is \(.....\,\mathrm{K}\). (Nearest integer) [Given : \(\mathrm{K}_{\mathrm{f}}=1.86 \,\mathrm{~K} \,\mathrm{~kg} \,\mathrm{~mol}^{-1} ;\) Density of water \(=\) \(1.00 \,\mathrm{~g}\, \mathrm{~cm}^{-3} ;\) Freezing point of water \(\left.=273.15\, \mathrm{~K}\right]\)

If the radius of earth is reduced to three-fourth of its present value without change in its mass then value of duration of the day of earth will be _______ hours \(30\) minutes.

The \(rms\) speeds of the molecules of Hydrogen, Oxygen and Carbondioxide at the same temperature are \({V}_{{H}}, {V}_{0}\) and \({V}_{{C}}\) respectively then

The velocity of water in a river is \(18\, km/h\) near the surface. If the river is \(5\, m\) deep, find the shearing stress between the horizontal layers of water. The co-efficient of viscosity of water \(= 10^{-2}\,,poise\)

If \(\cot ^{-1}(\alpha)=\cot ^{-1} 2+\cot ^{-1} 8+\cot ^{-1} 18\) \(+\cot ^{-1} 32+\ldots . .\) upto \(100\) terms, then \(\alpha\) is