Question

Please identify the differential equations (rate equations) describing the change in concentration per unit time for species A, B, and C for the following reaction mechanism:

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Answer 1

Here the above reaction is an example of consecutive reaction.

The rate equations describing the change in concentration per time can be understand from the hand written images.

As the above given Reaction is :- At to ao we can reduce this equation by writing : alow, - dA - KA-k₂B dt dB - Ky A- Kyp: - Ky [B] + ky [c] - © - - dt de = kx [] – Ky [c] _ Here the rate of decomposition to the rate of formation of B formation of Bc. of and A is equal Rake of Now if we assume the rate constant of Backward reachon (k₂ & ky) very len we can eliminate the respective quantities - Now equation 1, 2, 3 becomes a - A = KA + dB - KIA - kg B. at de - Kz (b] It Toetiers Sonnture..

It we further solve these equations : keat keat for For Conc. of Conca As. A- let at any time t conc. of [A] = n & [B] = y Rate A so -dn - kidt on inhgrating both sides at tzo nza -lan= kit + const Const - ln A ( - lnn - kt - In A Inn- ln A = -kt s en kla = -kt. Ya = ekt. acany time na ae kit award Rake. of co Now similarly Rate of formation bet at any time t cone of [c] = 2 now i from Equation m Rove-o 4 es the 2 word Teacher's Signature

od dy - kin - ky ht dy - kae - ky & gts a 1st order differenhal Equation. (о Там оn 4 هلباو طمثل - Rz tt Kelly-k)t tk 7 1 tlg-14) - kg -ki ] r it ht -14t -kzt ak (kz-k) L Conc. of at any time o (kg-k). now similarly & we know in a= atytz & Z = a-n- y a z = a- geht – aki 3= a[(14 kg ek ) -(4-14 kt) at any tim to o from equations concentrations of , & A, B and one can c at find the any time. Teacher's Signature