For the following mechanism, P + Q xrightleftharpoons[KB]KA PQ xrightleftharpoons[KD]KC R at equilibrium ([R]/[P][Q]) is [k represents rate constant]

Question

For the following mechanism, P + Q xrightleftharpoons[KB]KA PQ xrightleftharpoons[KD]KC R at equilibrium ([R]/[P][Q]) is [k represents rate constant] (A)  (KA . KB/KC .KD) (B)  (KA. KB/KB. KC) (C)  (KB. KD/KA. KC) (D)  (KA .KC/KB. KD)

Tardigrade Admin · Accepted Answer

(KA/KB) = ([PQ]/[P][Q]) .......(i) (KC/KD)=([R]/[PQ]) .........(ii) On multiply equations (i) and (ii) we get (KAKC/KBKD) = ([R]/[P][Q])

Q. For the following mechanism, $P + Q K_{A} K_{B} PQ K_{C} K_{D} R$ at equilibrium $\frac{[ R ]}{[ P ] [ Q ]}$ is
[k represents rate constant]

$\frac{K _{A} . K _{B}}{K _{C} . K _{D}}$

$\frac{K _{A} . K _{B}}{K _{B} . K _{C}}$

$\frac{K _{B} . K _{D}}{K _{A} . K _{C}}$

$\frac{K _{A} . K _{C}}{K _{B} . K _{D}}$

$\frac{K _{A}}{K _{B}} = \frac{[ PQ ]}{[ P ] [ Q ]} ....... (i)$
$\frac{K _{C}}{K _{D}} = \frac{[ R ]}{[ PQ ]} ......... (ii)$
On multiply equations (i) and (ii) we get
$\frac{K _{A} K _{C}}{K _{B} K _{D}} = \frac{[ R ]}{[ P ] [ Q ]}$

Q. For the following mechanism, P+QKA​KB​​PQKC​KD​​R at equilibrium [P][Q][R]​ is [k represents rate constant]

KC​.KD​KA​.KB​​

KB​.KC​KA​.KB​​

KA​.KC​KB​.KD​​

KB​.KD​KA​.KC​​