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Nernst Equation

Kc for the re...

Question

$K_{c}$ for the reaction $S O_{2 (g)} + \frac{1}{2} O_{2 (g)} ⇌ S O_{3 (g)}$ is $61.7$ at $60^{o}$ C. What is its unit? Calculate $K_{p}$ for the reaction and write its unit?

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Solution

Unit of $K_{c}$ for given reaction is $l m o l^{- 1}$ and with given coefficients the unit is $(l m o l^{- 1})^{1 / 2}$ .
$K_{p} = K_{c} (R T)^{Δ n}$
For given reaction $K_{c} = 61.7, R = 0.0821, T = 60 + 273 = 333$ K and $Δ_{n} =$ number of moles of gaseous products $-$ Number of moles of gaseous reactants

$= [1 - (1 + \frac{1}{2})] = - \frac{1}{2}$

$∴ K_{p} = 61.7 (0.0821 \times 333)^{- \frac{1}{2}}$

$= \frac{61.7}{\sqrt{27.34}} = 11.8$ atm.

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