\([ Fe ( CN )_{6}]^{3-}\) should be an inner orbital complex. Ignoring the pairing energy, the value of crystal field stabilization energy for this complex is \((-)\;\dots \;\Delta_{\circ}\).

Consider \(A \xrightarrow{ k _1} B\) and \(C \xrightarrow{ k _2} D\) are two reactions. If the rate constant \(\left( k _1\right)\) of the \(A \rightarrow B\) reaction can be expressed by the following equation \(\log _{10} k =14.34-\frac{1.5 \times 10^4}{T / K }\) and activation energy of \(C \rightarrow D\) reaction ( \(Ea _2\) ) is \(\frac{1}{5}\) th of the \(A \rightarrow B\) reaction \(\left( Ea _1\right)\), then the value of \(\left( Ea _2\right)\) is _______ \(kJ~mol ^{-1}\). (Nearest Integer)

Given below are two statements : Statement \(I\): \(\mathrm{S}_8\) solid undergoes disproportionation reaction under alkaline conditions to form \(\mathrm{S}^{2-}\) and \(\mathrm{S}_2 \mathrm{O}_3{ }^{2-}\) Statement \(II\): \(\mathrm{ClO}_4^{-}\)can undergodisproportionation reaction under acidic condition. In the light of the above statements, choose the most appropriate answer from the options given below :

Consider the following reaction occurring in the blast furnace:
\(\mathrm{Fe}_3 \mathrm{O}_{4(\mathrm{~s})}+4 \mathrm{CO}_{(\mathrm{g})} \rightarrow 3 \mathrm{Fe}_{(\mathrm{l})}+4 \mathrm{CO}_{2(\mathrm{~g})}\)
' \(x\) ' kg of iron is produced when \(2.32 \times 10^3 \mathrm{~kg} \mathrm{Fe}_3 \mathrm{O}_4\) and \(2.8 \times 10^2 \mathrm{~kg} \mathrm{CO}\) are brought together in the furnace. The value of ' \(x\) ' is _____. (nearest integer)
Given:
molar mass of \(\mathrm{Fe}_3 \mathrm{O}_4=232 \mathrm{~g} \mathrm{~mol}^{-1}\)
molar mass of \(\mathrm{CO}=28 \mathrm{~g} \mathrm{~mol}^{-1}\)
molar mass of \(\left.\mathrm{Fe}=56 \mathrm{~g} \mathrm{~mol}^{-1}\right\}\)

An octahedral complex with molecular composition \(M.5\, NH_3.Cl.SO_4\) has two isomers, \(A\) and \(B\). The solution of \(A\) gives a white precipitate with \(AgNO_3\) solution and the solution of \(B\) gives white precipitate with \(BaCl_2\) solution. The type of isomerism exhibited by the complex is

The statement\((s)\) that are correct about the species \(\mathrm{O}^{2-}, \mathrm{F}^{-}, \mathrm{Na}^{+}\)and \(\mathrm{Mg}^{2+}\). \((A)\) All are isoelectronic \((B)\) All have the same nuclear charge \((C)\) \(\mathrm{O}^{2-}\) has the largest ionic radii \((D)\) \(\mathrm{Mg}^{2+}\) has the smallest ionic radii Choose the most appropriate answer from the options given below :

Aluminium chloride in acidified aqueous solution forms an ion having _______ geometry.

For the reaction \(\mathrm{A} \rightarrow\) products.

The concentration of A at 10 minutes is _______ \(\times 10^{-3} \mathrm{~mol} \mathrm{~L}^{-1}\) (nearest integer). The reaction was started with \(2.5 \mathrm{~mol} \mathrm{~L}^{-1}\) of A.

A plane containing the point \((3, 2, 0)\) and the line \(\frac{{x - 1}}{1} = \frac{{y - 2}}{5} = \frac{{z - 3}}{4}\) also contains the point

Let \(A=\left[\begin{array}{lll}1 & a & a \\ 0 & 1 & b \\ 0 & 0 & 1\end{array}\right], a, b \in R\). If for some \(n \in N\), \(A ^{ n }=\left[\begin{array}{ccc}1 & 48 & 2160 \\ 0 & 1 & 96 \\ 0 & 0 & 1\end{array}\right]\) then \(n + a + b\) is equal to \(\dots\dots\)

If the mirror image of the point \((1,3,5)\) with respect to the plane \(4 x -5 y +2 z =8\) is \((\alpha, \beta, \gamma)\) then \(5(\alpha+\beta+\gamma)\) equals ...... ..

In period 4 of the periodic table, the elements with highest and lowest atomic radii are respectively:

If the events \(A\) and \(B\) are mutually exclusive events such that \(P\left( A \right) = \frac{{3x + 1}}{3}\) and \(P\left( B \right) = \frac{{1 - x}}{4}\), then the set of possible values of \(x\) lies in the interval