What are the units of equilibrium constant ( $k_{c}$ ) for the following reaction?
$C_{(s)} + O_{2 (g)} ⇌ C O_{2 (g)}$

mol/lit

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(m o l / l i t)^{- 1}

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l i t^{2} m o l^{- 2}

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k_{c}

has no units

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Solution

The correct option is D $k_{c}$ has no units
For the reaction:
$C (s) + O_{2} (g) ⇌ C O_{2} (g)$
$K_{C} = \frac{[C O_{2}]}{[C] [O_{2}]}, [C] = 1$
because carbon is solid
$k c = \frac{[C O_{2}]}{[O_{2}]}$
$[{C O}_{2}] =$ Molarity of ${C O}_{2}$
$[O_{2}] =$ Molarity of $O_{2}$
$∴$ Both $[{C O}_{2}] & [O_{2}]$ must
have same unit i.e. mol/lit.
Hence, $K$ c will be unitless.

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