Match List I with List II : List I (Quantum Numbers ) $n$, $l$ Choose the correct answer from the options given below :List II (Orbital) A. 2, 1 I. 3d B. 4, 0 II. 2p C. 5, 3 III. 4s D. 3, 2 IV. 5f
To match the quantum numbers ($n$, $l$) with the correct atomic orbital notation, we need to understand the meaning of each quantum number:
The orbital notation is formed by combining the value of $n$ with the letter corresponding to $l$ (e.g., $n=2, l=1$ is denoted as 2p).
Let's match each pair from List I to List II:
| List I Item | Quantum Numbers ($n, l$) | List II Item | Corresponding Orbital |
|---|---|---|---|
| A | (2, 1) | II | 2p |
| B | (4, 0) | III | 4s |
| C | (5, 3) | IV | 5f |
| D | (3, 2) | I | 3d |
The correct matching is A-II, B-III, C-IV, D-I.
| List I (Order of reaction) | List II (Unit of rate constant) |
| A. Zero order | I. $mol^{-1} L s^{-1}$ |
| B. First order | II. $mol^{-2} L^2 s^{-1}$ |
| C. Second order | III. $s^{-1}$ |
| D. Third order | IV. $mol L^{-1} s^{-1}$ |
At 298 K, a certain buffer solution contains equal concentrations of $X^{-}$ and $HX$. $K_b$ for $X^-$ is $10^{-10}$. What is the pH of this buffer solution ?
Consider the following reaction :
$2A (g) + B (g) \rightarrow 2D (g)$
$\Delta U^\ominus = -10 \text{ kJ mol}^{-1}$ and $\Delta S^\ominus = -44 \text{ J K}^{-1}$ at 298 K.
Identify the correct option with $\Delta G^\ominus$ for the reaction and spontaneity of the reaction at 298 K. (Given : $R = 8.31 \text{ J mol}^{-1} \text{K}^{-1}$)