The residence time distribution $($RTD$)$ from a tracer study $($C$)$ in a reactor is provided in the following table. Determine the anticipated conversion rate for a liquid$-$phase reaction of the first order. This calculation is based on the information that a continuous stirred$-$tank reactor $($CSTR$),$ operating under the same mean residence time, achieves a conversion rate of $75\%.$ Utilize the tracer study data directly for this estimation.