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Question

At certain temperature(T) for the gas phase reaction: 2H2O(g)+2Cl2(g)4HCl(g)+O2(g), Kp=12×108 atm. If Cl2, HCI & O2 are mixed in such a manner that the partial pressure of each is 2 atm and the mixture is brought into contact with excess of liquid water. What would be approximate partial pressure of Cl2 when equilibrium is attained at temperature(T)?

A
3.6×105atm
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B
104 atm
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C
3.6×103 atm
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D
0.01 atm
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Solution

The correct option is C 3.6×103 atm
Assume the vapour pressure of water as 2.99×102atm.

2H2O0.02990.0299(g)+2Cl2222x(g)4HCl(g)22+4x+O2(g)22+x,

The expression for the equilibrium constant is KP=PO2P4HClP2H2OP2Cl2.

Substitute values in the above expression

KP=(2+x)(2+4x)4(0.0299)2(22x)2=12×108

Hence x=0.998 and PCl2=22x=3.6×103.

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