MCQ
The equilibrium constant for the reversible reaction, ${N_2} + 3{H_2}$ $\rightleftharpoons$ $2N{H_3}$ is $K$ and for the reaction $\frac{1}{2}{N_2} + \frac{3}{2}{H_2}$ $\rightleftharpoons$ $N{H_3}$ the equilibrium constant is $K'$. $K$ and $K'$ will be related as
  • A
    $K = K'$
  • $K' = \sqrt K $
  • C
    $K = \sqrt {K'} $
  • D
    $K \times K' = 1$

Answer

Correct option: B.
$K' = \sqrt K $
(b) $K' = {K^n};$ Hence $n = \frac{1}{2}$

$\therefore \,\,K' = {K^{1/2}} = \sqrt K $

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Which bond angle $\theta $ gives maximum dipole moment for triatomic molecule  $XY_2$
The solubility (in $mol\,L^{-1}$ ) of $AgCl\,\,(K_{sp} = 1.0 \times 10^{-10}$ ) in a $0.1\,M\,KCl$ solution will be
The enthalpy of vapour is $10\ kcal/mole$ higher than liquid at $350\  K$ and $2\ atm$ . Under given conditions, the difference in internal energy of vapour and liquid will be ......$cal.$
The standard state Gibbs free energies of formation of $C$ (graphite) and $C$(diamond) at $\mathrm{T}=298 \mathrm{~K}$ are

$\Delta_f G^0[\mathrm{C}(\text { graphite })]=0 \mathrm{kJmol}^{-1}$

$\Delta_f G^0[\mathrm{C}(\text { diamond })]=2.9 \mathrm{kJmol}^{-1}$

The standard state means that the pressure should be $1$ bar, and substance should be pure at a given temperature. The conversion of graphite [C(graphite)] to diamond [C(diamond)] reduces its volume by $2 \times 10^{-6} \mathrm{~m}^3 \mathrm{~mol}^{-1}$. If $\mathrm{C}$ (graphite) is converted to $\mathrm{C}$ (diamond) isothermally at $\mathrm{T}=298 \mathrm{~K}$, the pressure at which $C$ (graphite) is in equilibrium with C(diamond), is

[Useful information: $1 \mathrm{~J}=1 \mathrm{~kg} \mathrm{~m}^2 \mathrm{~s}^{-2} ; 1 \mathrm{~Pa}=1 \mathrm{~kg} \mathrm{~m}^{-1} \mathrm{~s}^{-2} ; 1 \mathrm{bar}=10^5 \mathrm{~Pa}$ ]

One mol of methanol when burnt in excess of $O_2$ gives out $723 \,kJ\, mol^{-1}$ Heat. If $1\, mol$ of $O_2$ is used, what will be the amount of heat evolved......$kJ$
The energy of the electron in the first orbit of $He^+$ is $-871.6\times 10^{-20}\,J$. The energy of the electron in the first orbit of hydrogen would be
Which is an electrophile
According to Avogadro's law the volume of a gas will $ ........ $ as $ ....... $ if $ ......... $ are held constant :
Match List $I$ with List $II$

List $I$ (molecules/ions) List $II$ (No. of lone pairs of $e ^{-}$ on central atom)
$A$ $IF_7$ $I$ Three
$B$ $ICl^{-}_4$ $II$ One
$C$ $XeF_6$ $III$ Two
$D$ $XeF_2$ $IV$ Zero

Choose the correct answer from the options given below:

Which of the following diatomic molecular species has only $\pi$ bonds according to Molecular Orbital Theory?