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Chemical Equilibrium question

2016 · Shift 2 · Q6

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JEE Advanced
Chemistry
Chemical Equilibrium
2016 · Shift 2 · Q6

Chemical Equilibrium question

2016 · Shift 2 · Q6

JEE AdvancedChemistryChemical EquilibriumMCQ+3 / −1

Paragraph Thermal decomposition of gaseous

X_2

to gaseous X at 298 K takes place according to the following equations:

X_2

(g)

\Delta _rG^o

2X (g) The standard reaction Gibbs energy,

\Delta _rG^o

, of this reaction is positive. At the start of the reaction, there is one mole of

X_2

and no X. As the reaction proceeds, the number of moles of X formed is given by

\beta

. Thus,

\beta _{equilibrium}

is the number of moles of X formed at equilibrium. The reaction is carried out at a constant total pressure of 2 bar. Consider the gases to behave ideally. (Given R = 0.083 L bar K-1 mol-1) Question The equilibrium constant Kp for this reaction at 298 K, in terms of

\beta _{equilibrium}

, is

A
${{8\beta _{equilibrium}^2} \over {2 - {\beta _{equilibrium}}}}$
B
${{8\beta _{equilibrium}^2} \over {4 - {\beta _{equilibrium}^2}}}$
C
${{4\beta _{equilibrium}^2} \over {2 - {\beta _{equilibrium}}}}$
D
${{4\beta _{equilibrium}^2} \over {4 - {\beta _{equilibrium}^2}}}$

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