The standard enthalpy of formation \(\left(\Delta_f H^{\circ}\right)\) of ammonia is \(-46.2 \mathrm{~kJ} \mathrm{~mol}^{-1}\). What is the \(\Delta_r H^{-}\)of the following reaction? \(\mathrm{N}_2(\mathrm{~g})+3 \mathrm{H}_2(\mathrm{~g}) \rightarrow 2 \mathrm{NH}_3(\mathrm{~g})\)

Match the following List-I (Molecule) List - II (Shape) A. \(\mathrm{XeF}_4\) I. Square pyramid, B. \(\mathrm{ClF}_3\) II. Pentagonal bipyramidal C. \(\mathrm{BrF}_5\) III. Square planar D. \(\mathrm{IF}_7\) IV. Bent T-Shape

The metal used for the de-bromination reaction of 1, 2-dibromoethane

0.43 g of a metal of valence 2 was dissolved in 50 mL of \(0.5 \mathrm{M} \mathrm{H}_2 \mathrm{SO}_4\) solution. The unreacted acid required 14.2 mL of 1 M NaOH solution for neutralization. The atomic weight of the metal is

Identify the correct statements from the folluwing (A) At 298 K, the potential of hydrogen electrode placed in a solution of \(\mathrm{pH}=10\), is -0.59 V (B) The limiting molar conductivity of \(\mathrm{Ca}^{2+}\) and \(\mathrm{Cl}^{-}\)is 119 and \(76 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1}\) respectively. The limiting molar conductivity of \(\mathrm{CaCl}_2\) is \(195 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-\frac{1}{2}}\) (C) The correct relationship between \(\mathrm{K}_{\mathrm{c}}\) and \(\mathrm{E}_{\text {cell }}^0\) is \(\mathrm{E}_{\mathrm{ccll}}^{-}=\frac{2.303 \mathrm{RT}}{\mathrm{nF}} \log \mathrm{~K}_{\mathrm{c}}\)

4.0 g of a mixture containing \(\mathrm{Na}_2 \mathrm{CO}_3\) and \(\mathrm{NaHCO}_3\) is heated to 673 K. Loss in mass of the mixture is found to be 0.62 g. The percentage of sodium carbonate in the mixture is

The proper conditions of storing \(\mathrm{H}_2 \mathrm{O}_2\) are

Which of the following vinyl derivatives is the most reactive towards anionic polymerisation?

If two biased dice are rolled simultaneously until a sum of the number appeared on these dice is either 7 or 11 , then the probability that 7 comes before 11 , is

Let the line \(\mathrm{L}_1\) passing through the point of intersection of the lines \(2 x+3 y-5=0\) and \(4 x-5 y+7=0\) divide the line segment joining the points \((2,3)\) and \((1,-1)\) in the ratio \(2: 1\). If the equation of \(L_1\) is \(a x+b y=1\), then \(33(a-b)=\)

If $f\left(x\right)=\sin \left(\cosh \left(\frac{x^2+1}{x^2+2}\right)\right)$ then $f^{\text{'}}\left(1\right)=$

If \(\alpha, \beta\) are the roots of quadratic equation \(x^2+b x+c=0\) such that \(\alpha^2+\beta^2=5\) and \(\alpha^3+\beta^3=9\), then \(b+c=\)

A triangle $ABC$ has area of $P$ square units and circumference $2S$ units. If $h_1, h_2$ and $h_3$ are respectively the length of the altitudes of the triangle drawn from the vertices $A, B$ and $C,$ then $P^2\left[\frac{{\left(h_1{h}_2+h_2{h}_3+h_3{h}_1\right)}^2}{h_1^2{h}_2^2{h}_3^2}-2\right]=$