At \( -20^\circ \text{C} \) and \( 1 \, \text{atm} \) pressure, a cylinder is filled with equal number of \( \mathrm{H_2} \), \( \mathrm{I_2} \) and \( \mathrm{HI} \) molecules for the reaction:
\( \mathrm{H_2(g)} + \mathrm{I_2(g)}\rightleftharpoons
2\mathrm{HI(g)} \),
the \( K_p \) for the process is \( x \times 10^{-1} \), \( x = \) _____. [Given: \( R = 0.082 \, \text{L atm K}^{-1} \text{ mol}^{-1} \)]
The equilibrium constant for the reaction \( \mathrm{SO_3(g)} \rightleftharpoons \mathrm{SO_2(g)} + \tfrac{1}{2}\mathrm{O_2(g)} \) is \( K_c = 4.9 \times 10^{-2} \). The value of \( K_c \) for the reaction given below is \( 2\mathrm{SO_2(g)} + \mathrm{O_2(g)} \rightleftharpoons 2\mathrm{SO_3(g)} \) is:
