1. For the reaction \(2A \rightleftharpoons B + C, \, K_c \, = \, 4 \times 10^{-3}\). At a given time, the composition of reaction mixture is:
\([A]\, =\, [B]\, = \, [C]\, =\, 2 \times 10^{-3}\,M\)
Then, which of the following is correct?

(1).Reaction has a tendency to go in backward direction.

(2). Reaction has gone to completion in forward direction.

(3). Reaction is at eqilibrium.

(4). Reaction has a tendency to go in forward direction.

2. In which of the following equilibria, \(\text{K}_\text{P}\) and \(\text{K}_\text{C}\) are NOT equal?

(1).\(\text{CO}\left(\text{g}\right)\,+\,\text{H}_2\text{O}\left(\text{g}\right) \rightleftharpoons \text{CO}_2\left(\text{g}\right)\, +\, \text{H}_2\left(\text{g}\right)\)

(2). \(2\text{BrCl}\left(\text{g}\right) \rightleftharpoons \text{Br}_2\left(\text{g}\right)\, +\, \text{Cl}_2\left(\text{g}\right)\)

(3). \(\text{PCl}_5\left(\text{g}\right) \rightleftharpoons \text{PCl}_3\left(\text{g}\right)\, +\, \text{Cl}_2\left(\text{g}\right)\)

(4). \(\text{H}_2\left(\text{g}\right)\,+\,\text{I}_2\left(\text{g}\right) \rightleftharpoons 2\text{HI}\left(\text{g}\right)\)

3. Consider the following reaction in a sealed vessel at equilibrium with concentrations of
\(\text{N}_2\,=\,3.0 \times 10^{-3}\text{M}\),
\(\text{O}_2\,=\,4.2 \times 10^{-3}\text{M}\),
\(\text{NO}\,=\,2.8 \times 10^{-3}\text{M}\),
\(2\text{NO}\left(g\right)\,\rightleftharpoons\, \text{N}_2\left(g\right)\,+\, \text{O}_2\left(g\right)\),
If \( 0.1\text{molL}^{-1}\) of \(\text{NO}\left(g\right)\) is taken in a closed vessel, what will be degree of dissociation \(\left(\alpha\right)\) of \(\text{NO}\left(g\right)\) at equilibrium?

(1).0.8889

(2). 0.717

(3). 0.00889

(4). 0.0889

4. Phosphoric acid ionizes in three steps with their ionization constant values
\(Ka_1\), \(Ka_2\), and \(Ka_3\), respectively,while K is the overall ionization constant.
Which of the following statements are true?A. \(\text{log} K\, =\, \text{log} Ka_1\, + \,\text{log}Ka_2\, +\, \text{log}Ka_3\).
B. \(H_3PO_4\) is a stronger acid than \(H_2PO_4^-\) and \(HPO_4^{2-}\).
С. \(Ka_1\) > \(Ka_2\) > \(Ka_3\).
D. \(Ka_1\,= \,\frac{Ka_3\,+\,Ka_2}{2}\).
Choose the correct answer from the options given below:

(1).A, B and C only

(2). A and B only

(3). A and C only

(4). B, C and D only

5. Higher yield of NO in
\(N_2\left(8\right)\, +\, O_2\left(g\right)\, \rightleftharpoons\, 2NO\left(g\right)\) can be obtained at
[\(\Delta H \text{of the reaction}\, =\, + \,180.7 kJ\, mol^{-1}\)]
A. higher temperature
B. lower temperature
C. higher concentration of N₂
D. higher concentration of O₂
Choose the correct answer from the options given below:

(1).A, C, D only

(2). A, D only

(3). B, C only

(4). B, C, D only

6. For the reaction \(A\left(g\right) \rightleftharpoon 2B\left(g\right), the backward reaction rate constant is higher than the forward reaction rate constant by a factor of 2500, at 1000 K.
[Given : R = 0.0831 L atm mol^-1 K^-1]K_p for the reaction at 1000 K is

(1).0.021

(2). 83.1

(3). 2.077 × 10⁵

(4). 0.033