Give the reaction of glucose with hydrogen cyanide. Presence of which group is confirmed by this reaction?

(a) For the reaction

$$2 \mathrm{~N}_2 \mathrm{O}_{5(\mathrm{~g})} \rightarrow 4 \mathrm{NO}_{2(\mathrm{~g})}+\mathrm{O}_{2(\mathrm{~g})} \text { at } 318 \mathrm{~K}$$

Calculate the rate of reaction if rate of disappearance of $$\mathrm{N}_2 \mathrm{O}_{5(\mathrm{~g})}$$ is $$1.4 \times 10^{-3} \mathrm{~m} \mathrm{~s}^{-1}$$.

(b) For a first order reaction derive the relationship $$\mathbf{t}_{99 \%}=\mathbf{2} \mathbf{t}_{90 \%}$$

(a) On the basic of crystal field theory write the electronic configuration for $$\mathrm{d}^5$$ ion with a strong field ligand for which $$\Delta_0>\mathrm{P}$$.

(b) $$\left[\mathrm{Ni}(\mathrm{CO})_4\right]$$ has tetrahedral geometry while $$\left[\mathrm{Ni}(\mathrm{CN})_4\right]^{2-}$$ has square planar yet both exhibit diamagnetism. Explain.

[Atomic number : $$\mathrm{Ni}=28$$ ]

(a) Illustrate Sandmeyer's reaction with an equation.

(b) Explain, why $$\left(\mathrm{CH}_3\right)_2 \mathrm{NH}$$ is more basic than $$\left(\mathrm{CH}_3\right)_3 \mathrm{~N}$$ in aqueous solution.