GATE CY 2011 Question Paper (13-Feb-2011) (Shift-2)

Na${}_2$ HPO${}_4$ and NaH${}_2$ PO${}_4$ on heating at high temperature produce a chain sodium pentaphosphate quantitatively.

The decomposition of ozone to oxygen $2O_3\text{ (g)}\to 3O_2\text{ (g)}$ occurs by the mechanism

(i) M(g) + O${}_3$ (g) $\stackrel{k_1}{\to }$ O${}_2$ (g) + O(g) + M(g), $E_{a,1}$

(ii) O${}_2$ (g) + O(g) + M(g) $\stackrel{k_2}{\to }$ O${}_3$ (g) + M(g), $E_{a,2}$

(iii) O(g) + O${}_3$ (g) $\stackrel{k_3}{\to }$ 2O${}_2$ (g), $E_{a,3}$

where, M is the catalyst molecule.

$k_i$ 's are rate constants and $E_{a,i}$ 's the activation energies for the elementary steps.

The decomposition of ozone to oxygen $2O_3\text{ (g)}\to 3O_2\text{ (g)}$ occurs by the mechanism

(i) M(g) + O${}_3$ (g) $\stackrel{k_1}{\to }$ O${}_2$ (g) + O(g) + M(g), $E_{a,1}$

(ii) O${}_2$ (g) + O(g) + M(g) $\stackrel{k_2}{\to }$ O${}_3$ (g) + M(g), $E_{a,2}$

(iii) O(g) + O${}_3$ (g) $\stackrel{k_3}{\to }$ 2O${}_2$ (g), $E_{a,3}$

where, M is the catalyst molecule.

$k_i$ 's are rate constants and $E_{a,i}$ 's the activation energies for the elementary steps.

A ketone on treatment with bromine in methanol gives the corresponding monobromo compound [X] having molecular formula C${}_5$ H${}_9$ BrO. The compound [X] when treated with NaOMe in MeOH produces [Y] as the major product. The spectral data for compound [X] are: ${}^1$ H NMR: $\delta$ 1.17 (d, 6H), 3.02 (m, 1H), 4.10 (s, 2H); ${}^{13}$ C NMR: $\delta$ 17, 37, 39, 210.

A ketone on treatment with bromine in methanol gives the corresponding monobromo compound [X] having molecular formula C${}_5$ H${}_9$ BrO. The compound [X] when treated with NaOMe in MeOH produces [Y] as the major product. The spectral data for compound [X] are: ${}^1$ H NMR: $\delta$ 1.17 (d, 6H), 3.02 (m, 1H), 4.10 (s, 2H); ${}^{13}$ C NMR: $\delta$ 17, 37, 39, 210.