GATE CY 2024 Question Paper (03-Feb-2024) (Shift 1)

Among the following, the correct statement(s) is (are):

Among the following, the correct statement(s) is (are):

$\Delta S^{\circ }$ (in J $mo{l}^{-1}$ $K^{-1}$) for the given reaction at 298 K is ________.
$[Cu(H_{2}O{)}_6{]}^{2+}$ + en $\rightleftharpoons$ $[Cu(H_{2}O{)}_4(en){]}^{2+}$ + $2H_{2}O$
(Given: log $K_1$ = 10.6, where $K_1$ is the equilibrium constant. $\Delta H^{\circ }$ = $-54$ kJ $mo{l}^{-1}$ and R = 8.314 J $mo{l}^{-1}$ $K^{-1}$)
(rounded off to two decimal places)

The turnover frequency (in $h^{-1}$) of a reaction where 5 mol% of a catalyst is required for 90% conversion in 3 h is ________.
(rounded off to the nearest integer)

In thermogravimetric analysis, 12.45 mg of $CuS{O}_4\cdot 5H_{2}O$ was subjected to heating under $N_2$ atmosphere. At a particular temperature, there was a weight loss of 3.6 mg. The number of water molecule(s) lost per formula unit is ________.
(Given molar mass (in g $mo{l}^{-1}$) of H = 1.0, O = 16.0, S = 32.0, and Cu = 63.5)
(rounded off to the nearest integer)