Q11 / 125 · BITSAT 2013 · Chemistry

For the reaction $\mathrm{CO}(\mathrm{g})+(1 / 2) \mathrm{O}_{2}(\mathrm{~g}) \longrightarrow \mathrm{CO}_{2}(\mathrm{~g}), \mathrm{K}_{\mathrm{p}} / \mathrm{K}_{\mathrm{c}}$ is

  • A
    $\mathrm{RT}$
  • B
    $(\mathrm{RT})^{-1}$
  • Correct answer
    C
    $(\mathrm{RT})^{-1 / 2}$
  • D
    $(\mathrm{RT})^{1 / 2}$

Solution

$\mathrm{K}_{\mathrm{p}}=\mathrm{K}_{\mathrm{c}}(\mathrm{RT})^{\Delta n},$ $\Delta \mathrm{n}=1-\left(1+\frac{1}{2}\right)=1-\frac{3}{2}=-\frac{1}{2}$ $\therefore \frac{\mathrm{K}_{\mathrm{p}}}{\mathrm{K}_{\mathrm{c}}}=(\mathrm{RT})^{-1 / 2}$

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

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