Question
Consider the following reactions in which all the reactants and products are in gaseous state.
2PQ⇋ P2+Q2;K1=2.5× 105
PQ+12R2⇋ PQR, K2=5× 10−3
The value of K3 for the equilibrium
1/2 P2+1/2Q2+1/2 R2 ⇋ PQR
2PQ⇋ P2+Q2;K1=2.5× 105
PQ+12R2⇋ PQR, K2=5× 10−3
The value of K3 for the equilibrium
1/2 P2+1/2Q2+1/2 R2 ⇋ PQR
Answer: Option C
:
C
Correct option is c).
For 2PQ⇋P2+Q2,K1=[P2][Q2]/[PQ]2
For PQ+12R2⇋PQR,K2=[PQR]([PQ][R]12)
For the required equilibrium
1/2P2+1/2Q2+1/2R2⇋PQR
K=[PQR]/([P2]12[Q2]12[R2]12=K2√KT=5×10−3/(2.5×105)12=5×10−3/5×102=10−5
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:
C
Correct option is c).
For 2PQ⇋P2+Q2,K1=[P2][Q2]/[PQ]2
For PQ+12R2⇋PQR,K2=[PQR]([PQ][R]12)
For the required equilibrium
1/2P2+1/2Q2+1/2R2⇋PQR
K=[PQR]/([P2]12[Q2]12[R2]12=K2√KT=5×10−3/(2.5×105)12=5×10−3/5×102=10−5
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