Q 1 :    

For the given reaction, choose the correct expression of $K_C$ from the following:

${\mathrm{Fe}}_{\left(aq\right)}^{3+}+{\mathrm{SCN}}_{\left(aq\right)}^{-}\rightleftharpoons {\left(\mathrm{FeSCN}\right)}_{\left(aq\right)}^{2+}$                      [2024]

• $K_C=\frac{{\left[{\mathrm{FeSCN}}^{2+}\right]}^2}{\left[{\mathrm{Fe}}^{3+}\right]\left[{\mathrm{SCN}}^{-}\right]}$

   

• $K_C=\frac{\left[{\mathrm{FeSCN}}^{2+}\right]}{{\left[{\mathrm{Fe}}^{3+}\right]}^2{\left[{\mathrm{SCN}}^{-}\right]}^2}$

   

• $K_C=\frac{\left[{\mathrm{Fe}}^{3+}\right]\left[{\mathrm{SCN}}^{-}\right]}{\left[{\mathrm{FeSCN}}^{2+}\right]}$

   

• $K_C=\frac{\left[{\mathrm{FeSCN}}^{2+}\right]}{\left[{\mathrm{Fe}}^{3+}\right]\left[{\mathrm{SCN}}^{-}\right]}$

   

Q 2 :    

The equilibrium constant for the reaction ${\mathrm{SO}}_3\left(g\right)\rightleftharpoons {\mathrm{SO}}_2\left(g\right)+\frac{1}{2}{\mathrm{O}}_2\left(\mathrm{g}\right)$ is $K_C=4.9\times {10}^{-2}$. The value of $K_C$ for the reaction given below is

$2S{O}_2\left(g\right)+O_2\left(g\right)\rightleftharpoons 2S{O}_3\left(g\right)$ is :                        [2024]

• 4.9

   

• 49

   

• 41.6

   

• 416

   

Q 3 :    

At –20°C and 1 atm pressure, a cylinder is filled with equal number of ${\mathrm{H}}_2$, ${\mathrm{I}}_2$ and HI molecules for the reaction ${\mathrm{H}}_2\left(\mathrm{g}\right)+{\mathrm{I}}_2\left(\mathrm{g}\right)\rightleftharpoons 2\mathrm{HI}\left(\mathrm{g}\right)$, the $K_p$ for the process is $x\times {10}^{-1}$, $x=$ _______ . [Given : R = 0.082 L atm ${\mathrm{K}}^{-1}$ ${\mathrm{mol}}^{-1}$]                      [2024]

• 1

   

• 2

   

• 10

   

• 0.01

   

Q 4 :    

The ratio $\frac{K_P}{K_C}$ for the reaction:

${\mathrm{CO}}_{\left(\mathrm{g}\right)}+\frac{1}{2}{\mathrm{O}}_{2\left(\mathrm{g}\right)}\rightleftharpoons {\mathrm{CO}}_{2\left(\mathrm{g}\right)}$ is :                       [2024]

• $RT$

   

• ${\left(RT\right)}^{1/2}$

   

• $\frac{1}{\sqrt{RT}}$

   

• 1

   

Q 5 :    

For the given hypothetical reactions, the equilibrium constants are as follows:

$\mathrm{X}\rightleftharpoons \mathrm{Y}; {\mathrm{K}}_1=1.0$

$\mathrm{Y}\rightleftharpoons \mathrm{Z}; {\mathrm{K}}_2=2.0$

$\mathrm{Z}\rightleftharpoons \mathrm{W}; {\mathrm{K}}_3=4.0$

The equilibrium constant for the reaction $X\rightleftharpoons W$ is                                        [2024]

• 12.0

   

• 6.0

   

• 8.0

   

• 7.0

   

Q 6 :    

For the reaction  ${\mathrm{N}}_2{\mathrm{O}}_{4\left(\mathrm{g}\right)}\rightleftarrows 2{\mathrm{NO}}_{2\left(\mathrm{g}\right)},$ ${\mathrm{K}}_{\mathrm{p}}=0.492$ atm at 300 K. $K_c$ for the reaction at same temperature is _______ $\times {10}^{-2}$. (Given: R = 0.082 L atm ${\mathrm{mol}}^{-1}$ ${\mathrm{K}}^{-1}$)                     [2024]

Q 7 :    

The following concentrations were observed at 500 K for the formation of ${\mathrm{NH}}_3$ from ${\mathrm{N}}_2$ and ${\mathrm{H}}_2$. At equilibrium; $\left[{\mathrm{N}}_2\right]=2\times {10}^{-2} \mathrm{M}, \left[{\mathrm{H}}_2\right]=3\times {10}^{-2} \mathrm{M} \mathrm{and} \left[{\mathrm{NH}}_3\right]=1.5\times {10}^{-2} \mathrm{M}.$ Equilibrium constant for the reaction is _____________ .          [2024]

Q 8 :    

$A_{\left(g\right)}\rightleftharpoons B_{\left(g\right)}+\frac{\mathrm{C}}{2}\left(\mathrm{g}\right)$ The correct relationship between $K_p,$ $\alpha$ and equilibrium pressure P is           [2024]

• $K_P=\frac{{\alpha }^{1/2}{P}^{1/2}}{{(2+\alpha )}^{3/2}}$

   

• $K_P=\frac{{\alpha }^{1/2}{P}^{3/2}}{{(2+\alpha )}^{3/2}}$

   

• $K_P=\frac{{\alpha }^{3/2}{P}^{1/2}}{{(2+\alpha )}^{1/2}(1-\alpha )}$

   

• $K_P=\frac{{\alpha }^{1/2}{P}^{1/2}}{{(2+\alpha )}^{1/2}}$