Aqueous \(\mathrm{A}\left(C_{\mathrm{A} 0}=1 \text { mol/liter }\right)\) with
physical properties close to water \(\left(\rho=1000 \mathrm{kg} /
\mathrm{m}^{3}, \mathscr{D}=10^{-9} \mathrm{m}^{2} / \mathrm{s}\right)\) reacts
by a first-order homogeneous reaction \(\left(\mathrm{A} \rightarrow
\mathrm{R}, k=0.2 \mathrm{s}^{-1}\right)\) as it flows at \(100 \mathrm{mm} /
\mathrm{s}\) through a tubular reactor \(\left(d_{t}=50 \mathrm{mm}, L=5
\mathrm{m}\right) .\) Find the conversion of \(\mathrm{A}\) in the fluid leaving
this reactor.
