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Q.

For \large X{Y_{2\left( g \right)}}\, \rightleftharpoons \,X{Y_{_{\left( g \right)}}}\, + \,{Y_{\left( g \right)}}, initially 1 mole each of XY2 & Y are present in 10 lit flask at 500 mm. If the equilibrium pressure of XY is 150mm, KP is

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a

500 mm Hg

b

600 mm Hg

c

500 mm Hg

 

d

300 mm Hg

answer is D.

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Detailed Solution

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\large X{Y_{2\left( g \right)}}\, \rightleftharpoons \,X{Y_{_{\left( g \right)}}}\, + \,{Y_{\left( g \right)}}

Initial moles of XY2 = Initial moles of Y = 1

initial pressure = 500 mm

\large {X_{X{Y_2}}} = \frac{1}{2};{X_Y} = \frac{1}{2}
\large {P_{X{Y_2}}} = {P_Y} = \frac{1}{2}\left( {500} \right)mm = 250mm

Given equilibrium pressure of XY = 150 mm

Pressure of gas α no. of mole

1 mole of XY2 gives 1 mole of XY

___ mm of XY2 gives 150 mm of

Decrease in pressure of XY2 = 150 mm

Stoichiometry
\large X{Y_{2\left( g \right)}}\,
\large \rightleftharpoons
\large \,X{Y_{_{\left( g \right)}}}\, +
\large \,{Y_{\left( g \right)}}
Initial pressure      250 mm -250 mm
Equilibrium pressure250-150 mm     150 mm250+150
\large {K_P} = \frac{{{P_{XY}}.{P_{Y}}}}{{{P_{XY_{2}}}}}
\large {K_P} = \frac{{150 \times 400}}{{100}}
\large {K_P} = 600\;mm
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