The following plasma concentration$-$time data were obtained after an iv bolus injection of the drug kinetolol to a $80-$kg patient at a dose of $1\mathrm{.}1m\frac{g}{k}g.$

Time $($hr$)$

Conc. $(m\frac{g}{L})$

I. Please estimate the following kinetic parameters using the above concentration$-$time data:

The plasma concentration immediately after the drug injection in $\{$:$m\frac{g}{L})$

The volume of distribution by the extrapolation method $(V_{\text{E}\text{x}\text{T}}$ in $\frac{L}{k}g)$

The elimination rate constant $(Kinh{r}^{-1})$

The plasma half life in $\{$:$hr)$

The AUC from zero to infinity by the compartmental method $(AU{C}_{\text{C}\text{O}\text{M}\text{P}}$ in

mg$.$hr$/$L$)$

The clearance $(Cl)$ using the AUC $($trapezoidal$)$ method in $\{$:$m\frac{L}{m}in)$

The clearance $(Cl)$ using the $K$ and $V$ values in $\{$:$m\frac{L}{m}in)$

The volume of distribution using the AUC $($trapezoidal$)$ method in $\{$:$\frac{L}{k}g)$

The fraction of the dose remaining in the body at time $34hr($Fraction$)$

The plasma concentration of kinetolol at time in $\{$:$m\frac{g}{L})$

The time for the plasma concentration to reach in hr$)$

The time for the fraction of the dose in the body to reach in hr$)$

The elimination rate of the drug at time $2\mathrm{.}3hr$ when the plasma concentration is in $m\frac{g}{h}r$

A new dose if a $C_0$ of $2\mathrm{.}8m\frac{g}{L}$ is desired $($Dose ${?}_1$ in $mg)$

A new dose if a duration of effect of $25hr$ is desired, assuming a minimum effective concentration of $2\mathrm{.}5m\frac{g}{L}($Dose $Cin{g}_2)$

In another patient, $40\mathrm{.}6\%$ of an iv bolus dose remains in the body at $26hr$ following the drug injection. What is the half life of the drug in this new patient $($in hr$)?$