Two solid components P and Q dissociate at a certain temperature as follows.P(S)⇌A(g)+2B(g)KP=9×10-3 atm3Q(s)⇌2B(g)+C(g)KP=4.5×10-3 atm3If both solids P and Q were kept in a container at same temperature and allowed to decompose. The equilibrium pressure in the container is
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a
0.45 atm
b
0.9 atm
c
0.82 atm`
d
1 atm
answer is A.
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Detailed Solution
When both equilibria attained together the partial pressure of common product will remain same. During P(s)⇌Ag)+2B(g) equilibrium if PA=xatm During Q(s)⇌2B(g)+2C(g) equilibrium if PC=yatm The partial pressure of BPB=2x+2y∴9×10-3 atm 3=PAPB2 9×10-3 atm 3=(x)(2x+2y)2→1 4.5×10-3atm3=PB2PC 4.5×10-3atm3=(2x+2y)2(y)→2 12 gives x=2y By solving equations x = 0.1 atm y = 0.05 atm ∴ Equilibrium pressure =PA+PB+PC =x+(2x+2y)+y=0.45atm