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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, K_P is

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500 mm Hg

600 mm Hg

\sqrt{500} mm Hg

300 mm Hg

answer is D.

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Detailed Solution

\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

\large {K_P} = \frac{{{P_{XY}}.{P_{Y}}}}{{{P_{XY_{2}}}}}

\large {K_P} = \frac{{150 \times 400}}{{100}}

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