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Question

For an ideal gas reaction
2A+BC+D
value of Kp will be :

A
Kp=nCnDnAnB×(VRT2)
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B
Kp=nCnDn2AnB×(V2RT)
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C
Kp=nCnDn2AnB×(RTV)
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D
Kp=nCnDn2AnB×(VRT)
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Solution

The correct option is D Kp=nCnDn2AnB×(VRT)
2A+BC+D
We know that, KP=Kc(RT)n ...(1)
here, Kc=[C][D][A]2[B]
Kc=nCV×nDVn2AV2×nBV
Kc=(nCnDn2AnB×V)
n=23=1
Putting value of Kc and n in eqn. (1)
Kp=[nCnAn2AnBV]×(RT)n
=(nCnDn2AnB)V×(RT)1
KP=nCnDn2AnB×(VRT)

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