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Q.

AB2 dissociates as : \large A{B_{2\left( g \right)\,}}\, \rightleftharpoons \,A{B_{\left( g \right)}}\, + \,{B_{(g)}} When the intial pressure of AB2 is 500 mm Hg, the total equilibrium pressure is 700 mm Hg. Calculate equilibrium constant for the reaction, assuming that the volume of the system remains unchanged.

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a

200 mm Hg

b

100 mm Hg

c

133.3 mm Hg

d

214.6 mm Hg

answer is B.

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Detailed Solution

Initial pressure of AB2 (g) = 500 mm

Equilibrium pressure = 700 mm

Let 'P' mm of AB2 decomposed at equilibrium

2 mole of AB2 gives 1 mole of AB

Pmm of AB2 gives _____ mm of AB

\large \therefore

Pressure of AB at equilibrium = 'P' mm

1 moles of AB2 gives 1 mole of B

Pmm of AB2 gives ____ mm of B

\large \therefore

Pressure of AB at equilibrium = 'P' mm

 
\large A{B_{2\left( g \right)\,}}
\large \rightleftharpoons
\large \,A{B_{\left( g \right)}}\, +
\large \,{B_{(g)}}
Initial pressure500 mm   ____   ____
Equilibrium pressure(500 - P)   P  P

Total pressure at equilibrium = 500 - P + P + P = 500 + P

Given (500 + P) = 700

\large \boxed{P = 200mm}

At equilibrium

\large {P_{A{B_2}}} = \left( {500 - 200} \right)mm
\large {P_{A{B}}} =200mm
\large {P_{B}} =200mm
\large {K_P} = \frac{{{P_{AB}}.{P_B}}}{{{P_{A{B_2}}}}}
\large {K_P} = \frac{{200 \times 200}}{{300}}

Kp = 133.33 mm

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