One and a half mole of oxygen combine with aluminium to form $Al_2O_3$,then the weight of aluminium metal used in this reaction is ............. $g$ (Atomic weight of $Al = 27$)

Which of the following is not correct?

What is the significance of the terms 'isolated gaseous atom' and 'ground state' while defining the ionization enthalpy and electron gain enthalpy?

The two curves $x=y^2$ and $xy=a^3$ cut orthogonally at a point, then $a^2$ is equal to

The resultant gate and its Boolean expression in the given circuit is

Observe the following reactions at $T(K)$:
$I. A \rightarrow \text{products}$
$II. 5Br^{-}_{(aq)} + Br{O_{3}}^{-}_{(aq)} + 6H^{+}_{(aq)} \rightarrow 3Br_{2(aq)} + 3H_{2}O_{(l)}$
Both the reactions are started at $10.00 \text{ am}$. The rates of these reactions at $10.10 \text{ am}$ are same. The value of $-\frac{\Delta[Br^{-}]}{\Delta t}$ at $10.10 \text{ am}$ is $2 \times 10^{-4} \text{ mol L}^{-1} \text{ min}^{-1}$. The concentration of $A$ at $10.10 \text{ am}$ is $10^{-1} \text{ mol L}^{-1}$. What is the first order rate constant (in $\text{min}^{-1}$) of reaction $I$?