Q25 / 180 · KCET 2018 · Chemistry

The relationship between \( \mathrm{K}_{\mathrm{p}} \) and \( \mathrm{K}_{\mathrm{c}} \) is \( \mathrm{K}_{\mathrm{p}}=\mathrm{K}_{\mathrm{c}} \) (RT) \( ^{\Delta n_{g}} \). What would be the value of \( \Delta n_{g} \) for
the reaction
\( \mathrm{NH}_{4} \mathrm{Cl}(\mathrm{s}) \rightleftharpoons \mathrm{NH}_{3}(\mathrm{~g})+\mathrm{HCl}(\mathrm{g}) ? \)

  • A
    \( 11 \)
  • B
    \( 0.5 \)
  • C
    \( 1.5 \)
  • Correct answer
    D
    \( 12 \)

Solution

We know $\mathrm{K}_{\mathrm{p}}=\mathrm{K}_{\mathrm{c}}(\mathrm{RT})^{\Delta n_{g}}$ $\Delta n_{g}=$ no. of moles of products in gaseous phase - no. of moles of reactants in gaseous phase. For the given reaction $N H_{4} C l(S) \rightleftharpoons N H_{3}(g)+H C l(g)$ $\Delta n_{g}=2-0=2$ Therefore, $K_{p}=K_{c}(R T)^{0}$ or $K_{p}=K_{c}$

Hence, the correct answer is option: 'D'.

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