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Question

XY2 dissociates as XY2(g)XY(g)+Y(g) when the initial pressure of XY2 is 600 mm of Hg, the total equilibrium pressure is 800 mm of Hg. FInd the value of Equilibrium constant for the reaction assuming that the volume of the system remains unchanged.

A
50 mm Hg
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B
100 mm Hg
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C
166.6 mm Hg
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D
400 mm Hg
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Solution

The correct option is B 100 mm Hg
XY2 dissociates as:
XY2(g)XY(g)+Y(g)
Initial pressure of XY2 is 600 mm Hg. The total pressure at equilibrium is 800 mm Hg.

Let x mm Hg of XY2 dissociates to reach equilibrium. x mm Hg of XY and x mm Hg of Y will be formed at equilibrium. 600 - x mm Hg of XY2 will be present at equilibrium.

Total pressure =(600x)+x+x=600+x mm Hg

But total pressure = 800 mm Hg
600+x=800 or x=200

Thus, the equilibrium pressures are
PXY2=600x=600200=400 mm Hg
PXY=x=200 mm Hg
PY=x=200 mm Hg

Assuming volume of system to remain constant, the value of Kp=PXYPYPXY2

Kp=200×200400
Kp=100 mm Hg

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