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Q.

140 mm pressure is developed at equilibrium when PCl5 at 100mm is subjected to dissociation. Then KP for PCl3 +Cl2PCl5 is (in atm-1)  nearly

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a

0.03

b

0.01

c

0.02

d

0.04

answer is C.

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Detailed Solution

Stoichiometry
\large \mathop {PC{l_5}\left( g \right)}\limits^{1\,mole}
\large \rightleftharpoons
\large \large \mathop {PC{l_3}\left( g \right)}\limits^{1\,mole} {\mkern 1mu} {\kern 1pt} +
\large {\mkern 1mu} \mathop {C{l_2}\left( g \right)}\limits^{1\,mole}
Initial pressure      100     0    0
Equilibrium pressure  (100 -p)     P    P

 

 

 

Given 100 - P + P + P = 140

 

 

 

\large \boxed{P = 40mm}

At equilibrium

 

\large {P_{PC{l_3}}} = {P_{C{l_2}}} = 40mm
\large {P_{PC{l_5}}} = \left( {100 - 40} \right) = 60mm
\large {K_P} = \frac{{{P_{PC{l_3}}}.{P_{C{l_2}}}}}{{{P_{PC{l_5}}}}}
\large {K_P} = \frac{{40 \times 40}}{{60}}
\large {K_P} = \frac{{40 \times 2}}{{3}}

 

Kp'for reverse reaction,

 

 

 

\large PC{l_3} + C{l_2}\, \rightleftharpoons \,PC{l_5}
\large {K_P} = \frac{3}{{2 \times 40}} = 0.0375
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