$2$

$1$ point

The equation for the power radiated by a body is given by $P=eA{T}^4$ where $P=$ net radiated power in Watts $e=$ emissivity $($no units$),=$ Stefan$-$Boltzman constant, $T=$ temperature in Kelvins, $A=$ Surface area in $m^2.$ In SI unit system, the value of the Stefan$-$Boltzman constant, $$ is $5\mathrm{.}67{10}^{-8}$ in the above equation. Suppose the equation is to be written in American Engineering System $($heat flow in Btu$/$hr$,$ length in $ft,$ Temperature in $R),$ what is the value of $$ in AES units?

$4\mathrm{.}756{10}^{-13}Btuh{r}^{-1}f{t}^{-2}{R}^{-4}$

$1\mathrm{.}712{10}^{-9}Btuh{r}^{-1}f{t}^{-2}{R}^{-4}$

$1\mathrm{.}433{10}^{-7}Btuh{r}^{-1}f{t}^{-2}{R}^{-4}$

$1\mathrm{.}433{10}^{-7}Btuh{r}^{-1}f{t}^{-2}{R}^{-4}$