For the consecutive unimolecular first order reaction A→k1R→k2S, the concentration of component A, CA at any time t is given by

Let CA=[A] at time t& CA0=[A0] at time t = 0Then from 1st order eqn. CA=CA0.e-k1t(or) CA=C0e−k1t

For the consecutive unimolecular first order reaction A→k1R→k2S, the concentration of component A, CA at any time t is given by

Let CA=[A] at time t& CA0=[A0] at time t = 0Then from 1st order eqn. CA=CA0.e-k1t(or) CA=C0e−k1t

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For the consecutive unimolecular first order reaction $A \overset{k_{1}}{\to} R \overset{k_{2}}{\to} S$ , the concentration of component A, $C_{A}$ at any time t is given by

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$C_{A} = C_{A_{0}} e^{- (k_{1} + k_{2}) t}$

$C_{A} = C_{A_{0}} e^{k_{1} t}$

$C_{A} = C_{A_{0}} e^{- k_{1} t}$

$C_{A} = C_{A_{0}} e^{(k_{1} + k_{2}) t}$

answer is C.

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Detailed Solution

$\begin{array}{l} Let C_{A} = [A] at time t \\ & C_{A_{0}} = [A_{0}] at time t = 0 \end{array}$

Then from 1st order eqn.

$C_{A} = C_{A_{0}} . e^{- k_{1} t}$

(or) $C_{A} = C_{0} e^{- k_{1} t}$

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For the consecutive unimolecular first order reaction A→k1R→k2S, the concentration of component A, CA at any time t is given by

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For the consecutive unimolecular first order reaction $A \overset{k_{1}}{\to} R \overset{k_{2}}{\to} S$ , the concentration of component A, $C_{A}$ at any time t is given by