Consider the catalytic cycle below

CHEMISTRY · Single correct · AP · Chemistry · Kinetics · Kinetics

Problem

Consider the catalytic cycle below, carried out in a well-stirred batch reactor at 25\,

^\circ

C. 1.

\mathrm{C + A \xrightarrow{10^{4}\,M^{-1}s^{-1}} AC}

(fast) 2.

\mathrm{AC + B \xrightarrow{10^{3}\,M^{-1}s^{-1}} C + P}

(fast) 3.

\mathrm{C \xrightarrow{2.0\times10^{-4}\,s^{-1}} C_{\text{poison}}}

(irreversible deactivation) Initially

[\mathrm{C}]=0.010\,\text{M}

, while

[\mathrm{A}]=[\mathrm{B}]=1.0\,\text{M}

and remain effectively constant. Which of the following is the best estimate of the catalyst concentration after

1.0\times10^{3}\,\text{s}

? (a)

0.0067\,\text{M}

(b)

0.0082\,\text{M}

(c)

0.010\,\text{M}

(d)

0.0020\,\text{M}