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JEE Main 20146 April

Exam: JEE Main
Year: 2014
Date: 6 April
Subject: Chemistry
Chapter: Chemical Equilibrium

JEE Main 2014 · 6 April · Chemistry · Chemical Equilibrium

For the reaction SO _ 2 (g) + (1)/(2) O _ 2 (g) ⇌ SO _ 3 (g) , if K...

For the reaction

{\text{SO}}_{2} \left(\text{g}\right) + \dfrac{1}{2} {\text{O}}_{2} \left(\text{g}\right) ⇌ {\text{SO}}_{3} \left(\text{g}\right)

, if

{\text{K}}_{\text{P}} = {\text{K}}_{\text{C}} {\left(\text{RT}\right)}^{x}

where the symbols have usual meaning then the value of

x

is:
(assuming ideality)

Options

A $- 1$
B $- \dfrac{1}{2}$
C $\dfrac{1}{2}$
D $1$

Correct answer

B. $- \dfrac{1}{2}$

Step-by-step solution

{\text{K}}_{\text{P}} = {\text{K}}_{\text{C}} {\left(\text{RT}\right)}^{\Delta {\text{n}}_{\text{g}}}

{\text{SO}}_{2} ( \text{g} ) + \dfrac{1}{2} {\text{O}}_{2} ( \text{g} ) ⇌ {\text{SO}}_{3} \left(\text{g}\right)

\text{\Delta}{\text{n}}_{\text{g}} = 1 - ( 1 + \dfrac{1}{2} ) = - \dfrac{1}{2}

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