STD 12 - p -Block elements - ll — JEE STD 11 Science — Question

$2 X + Y \xrightarrow{i} P$

the rate of reaction is $\frac{ d [ P ]}{ dt }=k[ X ]$. Two moles of $X$ are mixed with one mole of $Y$ to make $1.0 L$ of solution. At $50 s , 0.5$ mole of $Y$ is left in the reaction mixture. The correct statement(s) about the reaction is(are)

(Use: $\ln 2=0.693$ )

$(A)$ The rate constant, $k$, of the reaction is $13.86 \times 10^{-4} s ^{-1}$.

$(B)$ Half-life of $X$ is $50 s$.

$(C)$ At $50 s ,-\frac{ d [ X ]}{ dt }=13.86 \times 10^{-3} mol L ^{-1} s ^{-1}$.

$(D)$ At $100 s ,-\frac{ d [ Y ]}{ dt }=3.46 \times 10^{-3} mol L ^{-1} s ^{-1}$.

$K + {H_2}O + $Water $ \to KOH(aq) + \frac{1}{2}{H_2};\,\Delta H = - 48\,kcal$

$KOH + $Water $ \to KOH(aq);\,\Delta H = - 14\,kcal$

The heat of formation of $KOH$ is (in kcal)

$(i)\, {CCl_3}^-$       $(ii)\,CCl_2$     $(iii)\, (SiH_3)_2O$     $(iv)\, N(SiH_3)_3$