A gas stream with \(\mathrm{CO}_{2}\) at partial pressure \(1 \mathrm{~atm}\) is exposed to liquid in which it undergoes a first-order reaction for \(0.01 \mathrm{~s}\). The total amount of gas absorbed during this time was measured as \(1.5 \times 10^{-4} \mathrm{~mol} / \mathrm{m}^{2}\). Estimate the rate constant for this reaction. Use \(C_{\mathrm{A}, \mathrm{s}}=\) \(30 \mathrm{~mol} / \mathrm{m}^{3}\) and \(D_{\mathrm{A}}=1.5 \times 10^{-9} \mathrm{~m}^{2} / \mathrm{s}\).