Consider the reaction \(N _{2} O _{4}( g ) \rightleftharpoons 2 NO _{2}( g )\) The temperature at which \(K _{ C }=20.4\) and \(K _{ P }=600.1,\) is ....... \(K\). (Round off to the Nearest Integer). [Assume all gases are ideal and \(R =0.0831\, L\,bar \, K ^{-1} mol ^{-1}]\)

The reason for double helical structure of \(DNA\) is the operation of

\(20\,mL\) of \(0.1\,M\,NaOH\) is added to \(50\,mL\) of \(0.1\,M\) acetic acid solution. The \(pH\) of the resulting solution is \(.......\times 10^{-2}\) (Nearest integer) \(\text { Given : pKa }\left( CH _3 COOH \right)=4.76\) \(\log 2=0.30\) \(\log 3=0.48\)

The species that has a (spin only) magnetic moment of \(5.9\, BM\), is 

\(5\, moles\) of \(AB_2\) weight \(125 \times 10^{-3}\, kg\) and \(10\, moles\) of \(A_2B_2\) weight \(300 \times 10^{-3}\, kg\). The molar mass of \(A(M_A)\) and molar mass of \(B(M_B)\) in \(kg\, mol^{-1}\) are

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 \(\left.\mathrm{Fe}=56 \mathrm{~g} \mathrm{~mol}^{-1}\right\}\)

A non-reducing sugar \("A"\) hydrolyses to give two reducing mono saccharides. Sugar \(A\) is

Let \(S = \left\{A = \begin{bmatrix} a & b \\ c & d \end{bmatrix} : a, b, c, d \in \{0, 1, 2, 3, 4\} \text{ and } A^2 - 4A + 3I = 0\right\}\) be a set of \(2 \times 2\) matrixes. Then the number of matrixes in \(S\), for which the sum of the diagonal elements is equal to \(4\), is:

Consider the following metal complexes. \({\left[ Co \left( NH _{3}\right)\right]^{3+}}\) \({\left[ CoCl \left( NH _{3}\right)_{5}\right]^{2+}}\) \({\left[ Co ( CN )_{6}\right]^{3-}}\) \({\left[ Co \left( NH _{3}\right)_{5}\left( H _{2} O \right)\right]^{3+}}\) The spin-only magnetic moment value of the complex that absorbs light with shortest wavelength is \(B.M.\) (Nearest integer)

The area of the region bounded by \(y^{2}=8 x\) and \(y^{2}=16(3-x)\) is equal to

If for all real triplets \((a, b, c), f(x)=a+b x+c x^{2}\) then \(\int \limits_{0}^{1} f(\mathrm{x}) \mathrm{d} \mathrm{x}\) is equal to 

The value of \(\left(\frac{-1+i \sqrt{3}}{1-i}\right)^{30}\) is

Among the following, total number of meta directing functional groups is__________ (Integer based) \( -\mathrm{OCH}_3,-\mathrm{NO}_2,-\mathrm{CN},-\mathrm{CH}_3-\mathrm{NHCOCH}_3, \) \( -\mathrm{COR},-\mathrm{OH},-\mathrm{COOH},-\mathrm{Cl}\)