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Question

Two solid compounds X and Y dissociates at certain temperature as follows:
X(s)A(g)+2b(g) Kp1=9×103 atm3
Y(s)2B(g)+C(g) Kp2=4.5×103 atm3.
The total pressure (in atm) of gases over a mixture of X and Y is

A
1.5
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B
0.45
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C
0.6
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D
0.9
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Solution

The correct option is B 0.45
Let
X gives a moles of A and 2a moles of B
Y gives b moles of C and 2b moles of B
then,
Kp1=Pa(2Pa+2Pb)2=0.009
Kp2=Pb(2Pa+2Pb)2=0.0045

PaPb=2
Pa=2Pb
so
Pa(2Pa+Pa)2=0.009
9P3a=0.009
Pa=0.1
Pb=0.05
total pressure=3Pa+3Pb=0.45




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