\(2 NO +2 H _{2} \rightarrow N _{2}+2 H _{2} O\) The above reaction has been studied at \(800^{\circ} C\). The related data are given in the table below.

Reaction serial number	Initial pressure of \(H _{2}\) / \(kPa\)	Initial Pressure of \(NO /\) \(kPa\)	Initial rate \(\left(\frac{- dp }{ dt }\right) /( kPa / s )\)
\(1\)	\(65.6\)	\(40.0\)	\(0.135\)
\(2\)	\(65.6\)	\(20.1\)	\(0.033\)
\(3\)	\(38.6\)	\(65.6\)	\(0.214\)
\(4\)	\(19.2\)	\(65.6\)	\(0.106\)

 The order of the reaction with respect to \(NO\) is \(...........\) 

\(40^{\circ}\) of \(HI\) undergoes decomposition to \(H _{2}\) and \(I _{2}\) at \(300\, K . \Delta G ^{\ominus}\) for this decompostion reaction at one atmosphere pressure is \(...\,J\, mol ^{-1} \cdot\) [nearest integer] (Use \(R =8.31\, J\, K ^{-1}\, mol ^{-1} ; \log 2=0.3010\). In \(10=\) \(2.3, \log 3=0.477\) )

Which of the following complexes will show coordination isomerism?
A. \([Ag(NH_3)_2][Ag(CN)_2]\)
B. \([Co(NH_3)_6][Cr(CN)_6]\)
C. \([Co(NH_3)_6][Co(CN)_6]\)
D. \([Fe(NH_3)_6][Co(CN)_6]\)
E. \([Co(NH_3)_6][Fe(CN)_6]\)
Choose the correct answer from the options given below:

A volume of \(x mL\) of \(5 M NaHCO _3\) solution was mixed with 10 mL of \(2 M H _2 CO _3\) solution to make an electrolytic buffer. If the same buffer was used in the following electrochemical cell to record a cell potential of 235.3 mV , then the value of \(x =\)__________ mL (nearest integer).
\(Sn ( s )\left| Sn ( OH )_6^{2-}(0.5 M )\right| HSnO _2^{-}(0.05 M ) \mid OH ^{-} \left| Bi _2 O _3(s)\right| Bi ( s )\)
Consider upto one place of decimal for intermediate calculations
\(\left[\begin{array}{ll}\text { Given : } & E _{ HSnO _2^{-} \mid Sn ( OH )_6^{2-}}^{ o }=-0.9 V \\ & E _{ Bi _2 O _3 \mid Bi }^{ o }=-0.44 V \\ & pKa _{\left( H _2 CO _3\right)}=6.11 \\ & \frac{2.303 RT }{ F }=0.059 V \\ &\operatorname{Antilog}(1.29)=19.5\end{array}\right]\)

Consider a binary solution of two volatile liquid components 1 and \(2 . x_1\) and \(y_1\) are the mole fractions of component 1 in liquid and vapour phase, respectively. The slope and intercept of the linear plot of \(\frac{1}{x_1}\) vs \(\frac{1}{y_1}\) are given respectively as what?

The number of sigma bonds in \(\begin{array}{*{20}{c}} {{{\rm{H}}_3}{\rm{C}} - {\rm{C}} = {\rm{CH}} - {\rm{C}} \equiv {\rm{C}} - {\rm{H}}}\\ {|\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,}\\ {H\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} \end{array}\) is \(......\)

The difference in energy between the actual structure and the lowest energy resonance structure for the given compound is _______.

Let the line \(L_1 : x + 3 = 0\) intersect the lines \(L_2 : x - y = 0\) and \(L_3 : 3x + y = 0\) at the points \(A\) and \(B\), respectively. Let the bisector of the obtuse angle between the lines \(L_2\) and \(L_3\) intersect the line \(L_1\) at the point \(C\). Then \(BC^2 : AC^2\) is equal to:

The following structures are

Let \( f(x)=x^{3}+x^{2}f^{\prime}(1)+2x~f^{\prime\prime}(2)+f^{\prime\prime\prime}(3), x\in R. \) Then the value of \(f^{\prime}(5)\) is :

The number of \(sp ^{3}\) hybridised carbons in an acyclic neutral compound with molecular formula \(C _{4} H _{5} N\) is.

Let a circle passing through \((2,0)\) have its centre at the point \((\mathrm{h}, \mathrm{k})\). Let \(\left(\mathrm{x}_{\mathrm{c}}, \mathrm{y}_{\mathrm{c}}\right)\) be the point of intersection of the lines \(3 x+5 y=1\) and \((2+c) x+\) \(5 c^2 y=1\). If \(h=\lim _{c \rightarrow 1} x_c\) and \(k=\lim _{c \rightarrow 1} y_c\), then the equation of the circle is :

Maximum number of isomeric monochloro derivatives which can be obtained from \(2,2,5,5\) tetramethylhexane by chlorination is \(..............\).