VITEEE PYQs for Equilibrium Constant with Solutions: Practice VITEEE Previous Year Questions

1.

Values of dissociation constant \( K_a \) are given as follows: 
 

Correct order of increasing base strength of the conjugate bases \( {CN}^-, {F}^- \) and \( {NO}_2^- \) is: 
 

• \( {F}^-<{CN}^-<{NO}_2^- \)
  
• \( {NO}_2^-<{CN}^-<{F}^- \)
  
• \( {F}^-<{NO}_2^-<{CN}^- \)
  
• \( {NO}_2^-<{F}^-<{CN}^- \)
  

2.

The partial pressure of \( CH_3OH(g) \), \( CO(g) \), and \( H_2(g) \) in an equilibrium mixture for the reaction:

\[ CO(g) + 2H_2(g) \rightleftharpoons CH_3OH(g) \]

are 2.0, 1.0, and 0.1 atm respectively at \( 427^\circ C \). The value of \( K_p \) for the decomposition of \( CH_3OH \) to \( CO \) and \( H_2 \) is:

• \( 10^2 \, {atm} \)
  
• \( 2 \times 10^2 \, {atm}^{-1} \)
  
• \( 50 \, {atm}^2 \)
  
• \( 5 \times 10^{-3} \, {atm}^2 \)

3.

The correct order of thermal stability of hydroxides is:

• \( {Ba(OH)}_2 < {Ca(OH)}_2 < {Sr(OH)}_2 < {Mg(OH)}_2 \)
  
• \( {Mg(OH)}_2 < {Sr(OH)}_2 < {Ca(OH)}_2 < {Ba(OH)}_2 \)
  
• \( {Mg(OH)}_2 < {Ca(OH)}_2 < {Sr(OH)}_2 < {Ba(OH)}_2 \)
  
• \( {Ba(OH)}_2 < {Sr(OH)}_2 < {Ca(OH)}_2 < {Mg(OH)}_2 \)

4.

Which of the following order is not correct for the ionic radii of the given species: \( {O}^{2-} \), \( {S}^{2-} \), \( {N}^{3-} \), \( {P}^{3-} \)?

• \( {O}^{2-} < {N}^{3-} < {S}^{2-} < {P}^{3-} \)
  
• \( {O}^{2-} < {P}^{3-} < {N}^{3-} < {S}^{2-} \)
  
• \( {N}^{3-} < {O}^{2-} < {P}^{3-} < {S}^{2-} \)
  
• \( {N}^{3-} < {S}^{2-} < {O}^{2-} < {P}^{3-} \)

5.

The geometry and magnetic behaviour of the complex \([Ni(CO)_4]\) are:

• Square planar geometry and diamagnetic
  
• Tetrahedral geometry and diamagnetic
  
• Tetrahedral geometry and paramagnetic
  
• Square planar geometry and paramagnetic
  

6.

For the reaction, $2 A(g)+B_{2}(g) \rightleftharpoons 2 A B_{2}(g)$ the equilibrium constant, $K_{p}$ at $300\, K$ is $16.0$. The value of $K_{p}$ for $A B_{2}(g) \rightleftharpoons A(g)+1 / 2 B_{2}(g)$ is

• 8
• 0.25
• 0.125
• 32

7.

The major product of the following reaction is: 

8.

Given that the equilibrium constant for the reaction $ {2SO2(g) + O2(g) <=> 2SO3(g)}$ has a value of278 at a particular temperature. What is the value of the equilibrium constant for the following reaction at the same temperature? $ {SO3(g) <=> SO2(g) + \frac{1}{2} O2(g)}$

• $1.8 \times 10^{-3}$
• $3.6 \times 10^{-3}$
• $6.0 \times 10^{-2}$
• $1.3 \times 10^{-5}$

9.

The reaction, $2 A(g)+B(g) \rightleftharpoons 3 C(g)+D(g)$ is begun with the concentrations of $A$ and $B$ both at an initial value of $1.00\, M .$ When equilibrium is reached, the concentration of $D$ is measured and found to be $0.25\, M$. The value for the equilibrium constant for this reaction is given by the expression

• $\left[(0.75)^{3}(0.25)\right] \div\left[(1.00)^{2}(1.00)\right]$
• $\left[(0.75)^{3}(0.25)\right] \div\left[(0.50)^{2}(0.75)\right]$
• $\left[(0.75)^{3}(0.25)\right] \div\left[(0.50)^{2}(0.25)\right]$
• $\left[(0.75)^{3}(0.25)\right] \div\left[(0.75)^{2}(0.25)\right]$

10.

For which one of the following systems at equilibrium, at constant temperature will the doubling of die volume cause a shift to the right?

• $\ce{H2(g) + Cl2(g) <=> HCl(g) }$
• $\ce{2CO(g) + O2(g) <=> 2CO2(g) }$
• $\ce{N2(g) + 3H2(g) <=> NH2(g) }$
• $\ce{PCl5(g) <=> PCl3(g)+Cl2(g) }$

11.

The value of \(K_c\) for the reaction : \({A + 3B\rightleftharpoons2C}\) at \(400^\circ C\) is \(0.5.\) Calculate the value of \(K_P\)

• \(1.64 \times 10^{-4}\)

• \(1.64 \times 10^{-6}\)
• \(1.64 \times 10^{-5}\)
• \(1.64 \times 10^{-3}\)

12.

Consider the water gas equilibrium reaction, $C ( s )+ H _{2} O ( g ) \rightleftharpoons CO ( g )+ H _{2}( g )$ Which of the following statements is true at equilibrium?

• If the amount of $C(s)$ is increased, less water would be formed
• If the amount of $C(s)$ is increased, more $CO$ and $H_2$ would be formed
• If the pressure on the system is increased by halving the volume, more water would be formed
• If the pressure on the system is increased by halving the volume, more $CO$ and $H_2$ would be formed