MCQ
$28 \,g$ of ${N_2}$ and $6\, g$ of ${H_2}$ were kept at ${400\,^o}C$ in $1$ litre vessel, the equilibrium mixture contained $27.54\,g$ of $N{H_3}$. The approximate value of ${K_c}$ for the above reaction can be (in $mol{e^{ - 2}}\,\,litr{e^2}$)
  • $75$
  • B
    $50$
  • C
    $25$
  • D
    $100$

Answer

Correct option: A.
$75$
(a)                    ${N_2} + 3{H_2}$ $ \rightleftharpoons $ $2N{H_3}$

Initial conc.          $1$             $3$               $0$

at equilibrium       $1-0.81$     $3-2.43$       $1.62$

                              $0.19$       $0.57$

No. of moles of ${N_2} = \frac{{28}}{{28}} = 1$ $mole$

No. of moles of ${H_2} = \frac{6}{2} = 3$ $mole$

No. of moles of $N{H_3} = \frac{{27.54}}{{17}} = 1.62$ $mole$

${K_c} = \frac{{{{[N{H_3}]}^2}}}{{[{N_2}]\,\,{{[{H_2}]}^3}}} = \frac{{{{[1.62]}^2}}}{{[0.19]\,\,{{[0.57]}^3}}}$$=75$

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