Ethanol is produced in a $10,000$ L stirred bioreactor using an impeller of diameter $1 \mathrm{~m}$. The density and viscosity of fermentation broth are $1000 \mathrm{~kg} \mathrm{~m}^{-3}$ and $1 \mathrm{cp}$, respectively. The data relating the Power number and Impeller Reynolds number is given below:
Reynolds number |
$1-5$ |
$5-500$ |
$>10^{5}$ |
Power number |
$70$ |
$10$ |
$5$ |
Using the above data, the power required for the stirrer to operate at $300 \mathrm{rpm}$ is $\_\_\_\_\_\_$ $\mathrm{kW}$ (Answer in integer).