Determine the Reaction with Reagent X:
The starting compound, CH3 − CH2 − CH2 − CH2 − Br, is a 1-bromobutane.
When treated with concentrated alcoholic NaOH at 80°C, an elimination reaction (dehydrohalogenation) occurs, leading to the formation of an alkene.
The product after elimination is CH3 − CH = CH − CH3 (1-butene).
Reaction with Reagent Y:
After the formation of 1-butene, adding HBr in the presence of acetic acid will convert it back into an alkyl halide by electrophilic addition.
The final product is 1-bromo-2-butene.
Conclusion:
The correct set of reagents for X and Y is:
X = conc. alc. NaOH, 80°C
Y = HBr/acetic acid
This corresponds to Option (3).
Consider the gas phase reaction: \[ CO + \frac{1}{2} O_2 \rightleftharpoons CO_2 \] At equilibrium for a particular temperature, the partial pressures of \( CO \), \( O_2 \), and \( CO_2 \) are found to be \( 10^{-6} \, {atm} \), \( 10^{-6} \, {atm} \), and \( 16 \, {atm} \), respectively. The equilibrium constant for the reaction is ......... \( \times 10^{10} \) (rounded off to one decimal place).
Molten steel at 1900 K having dissolved hydrogen needs to be vacuum degassed. The equilibrium partial pressure of hydrogen to be maintained to achieve 1 ppm (mass basis) of dissolved hydrogen is ......... Torr (rounded off to two decimal places). Given: For the hydrogen dissolution reaction in molten steel \( \left( \frac{1}{2} {H}_2(g) = [{H}] \right) \), the equilibrium constant (expressed in terms of ppm of dissolved H) is: \[ \log_{10} K_{eq} = \frac{1900}{T} + 2.4 \] 1 atm = 760 Torr.
Let $ P_n = \alpha^n + \beta^n $, $ n \in \mathbb{N} $. If $ P_{10} = 123,\ P_9 = 76,\ P_8 = 47 $ and $ P_1 = 1 $, then the quadratic equation having roots $ \alpha $ and $ \frac{1}{\beta} $ is: