GATE CY 2018 Question Paper (04-Feb-2018) (Shift 2)

The reaction of $PC{l}_3$ with $PhLi$ in 1:3 molar ratio yields X as one of the products, which on further treatment with $C{H}_{3}I$ gives Y. The reaction of Y with $n-BuLi$ gives product Z. The products X, Y and Z, respectively, are

The reaction of equimolar quantities of $Fe(CO{)}_5$ and $O{H}^{-}$ gives a complex species X whichon further reaction with $Mn{O}_2$ gives species Y. X and Y, respectively, are

The rate constant of a first order reaction, $X\to Y$, is $1.6\times 10^{-3}{s}^{-1}$ at 300 K. Given that the activation energy of the reaction is 28 kJ $mo{l}^{-1}$ and assuming Arrhenius behavior for the temperature dependence, the total time required to obtain 90% of Y at 350 K is ____________ s. (Up to one decimal place. Use $R=8.31J{K}^{-1}mo{l}^{-1}$ )

The molar conductivity of a 0.01 M weak acid (HX) at 298 K, measured in a conductivity cell with cell constant of $0.4{\text{ cm}}^{-1}$, is $64.4{\text{ S cm}}^2{\text{ mol}}^{-1}$. The limiting molar conductivities at infinite dilution of $H^{+}$ and $X^{-}$ at 298 K are 350 and $410{\text{ S cm}}^2{\text{ mol}}^{-1}$, respectively. Ignoring activity coefficients, the $p{K}_a$ of HX at 298 K is ____________ (Up to two decimal places)

The Latimer diagram of oxygen is given below. The value of x is ____________ V. (Up to two decimal places)